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1Question Text
2Which of the following is the correct matrix representation of the October Inventory of small and large t-shirts and pants?
3
4 
5	
6
7Inventory for August
8Small          Large
9	
10
11Inventory for September
12Small          Large
13	
14
15Inventory for October
16Small          Large
17
18T-Shirts
19	
20
212                    3
22	
23
244                    6
25	
26
277                    8
28
29Pants
30	
31
321                    4
33	
34
353                    5
36	
37
385                    6
39Your Answer
40D. a 2 by 2 matrix: row one is 5, 6 and row two is 1, 4
41Question Number 2 	Points: 5.00/5.00
42Question Text
43Which of the following is the correct matrix representation of the September Inventory of small and large t-shirts and pants?
44
45 
46	
47
48Inventory for August
49Small          Large
50	
51
52Inventory for September
53Small          Large
54	
55
56Inventory for October
57Small          Large
58
59T-Shirts
60	
61
622                    3
63	
64
654                    6
66	
67
687                    8
69
70Pants
71	
72
731                    4
74	
75
763                    5
77	
78
795                    6
80Your Answer
81B. a 2 by 2 matrix: row one is 4, 6 and row two is 3, 5
82Question Number 3 	Points: 5.00/5.00
83Question Text
84Evaluatea two by two matrix with row one: 4, 6; and row two: 7, 1, minus a two by two matrix with row one: negative 1, 0; and row two: 9, 2.
85Your Answer
86B. a two by two matrix with row one: 5, 6; and row two: negative 2, negative 1
87Question Number 4 	Points: 5.00/5.00
88Question Text
89Evaluatea two by two matrix with row one: negative 1, 0; and row two: 9, 2, minus a two by two matrix with row one: 4, 6; and row two: 7, 1.
90Your Answer
91D. a two by two matrix with row one: negative 5, negative 6; and row two: 2, 1
92Question Number 5 	Points: 5.00/5.00
93Question Text
94IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 and B equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10, find B - A.
95Your Answer
96C. a 2 by 2 matrix: row one is 1, 3 and row two is 4, 8
97Question Number 6 	Points: 5.00/5.00
98Question Text
99Evaluatea one by three matrix with terms 2, negative 5, 0, plus a three by one matrix with terms 3, 7, 9.
100Your Answer
101B. Not possible
102Question Number 7 	Points: 0.00/5.00
103Question Text
104Which of the following is the correct matrix representation of the August Inventory of small and large t-shirts and pants?
105
106 
107	
108
109Inventory for August
110Small          Large
111	
112
113Inventory for September
114Small          Large
115	
116
117Inventory for October
118Small          Large
119
120T-Shirts
121	
122
1232                    3
124	
125
1264                    6
127	
128
1297                    8
130
131Pants
132	
133
1341                    4
135	
136
1373                    5
138	
139
1405                    6
141Your Answer
142C. a 2 by 2 matrix: row one is 7, 8 and row two is 5, 6
143Question Number 8 	Points: 5.00/5.00
144Question Text
145Evaluatea two by two matrix with row one: 4, 6; and row two: 7, 1, plus a two by two matrix with row one: negative 1, 0; and row two: 9, 2.
146Your Answer
147A. a two by two matrix with row one: 3, 6; and row two: 16, 3
148Question Number 9 	Points: 5.00/5.00
149Question Text
150IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 and B equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10, find A + B.
151Your Answer
152A. a 2 by 2 matrix: row one is 3, 11 and row two is 14, 12
153Question Number 10 	Points: 5.00/5.00
154Question Text
155IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 and B equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10, find A - B.
156Your Answer
157B. a 2 by 2 matrix: row one is negative 1, negative 3 and row two is negative 4, negative 8
158
159Grade Received: 90.0% (18.00 pts out of 20.00 pts)
160
161
162Question Number 1 	Points: 5.00/5.00
163Question Text
164If A equals a 2 by 2 matrix: row one is 1, 5 and row two is negtative 3, 0and B equals a 2 by 2 matrix: row one is 3, negative 2 and row two is negative 4, 6 find A x B.
165Your Answer
166C. a 2 by 2 matrix: row one is negative 17, 28 and row two is negative 9, 6
167Question Number 2 	Points: 5.00/5.00
168Question Text
169Evaluate a one by three matrix times a three by two matrix. The first matrix has row one is negative 4, 0, 4. The second matrix has row one is 6, negative 1, row two is 0, 2 and row three is 1, 0.
170Your Answer
171A. a one by two matrix, row one is negative 20, 4
172Question Number 3 	Points: 5.00/5.00
173Question Text
174Evaluate a one by three matrix times a three by two matrix. The first matrix has row one is negative 1, 4, 6. The second matrix has row one is 2, 3, row two is 5, 8 and row three is 7, 9.
175Your Answer
176C. a one by one matrix, the term is 54
177Question Number 4 	Points: 5.00/5.00
178Question Text
179IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 find -2A.
180Your Answer
181C. a 2 by 2 matrix: row one is negative 4, negative 14 and row two is negative 18, negative 20
182Question Number 5 	Points: 0.00/5.00
183Question Text
184If A equals a 2 by 2 matrix: row one is 3, 9 and row two is 2, negative 1and B equals a 2 by 2 matrix: row one is 7, 0 and row two is 1, 3 find A x B.
185Your Answer
186C. a 2 by 2 matrix: row one is 30, 27 and row two is 11, negative 3
187Question Number 6 	Points: 5.00/5.00
188Question Text
189Evaluate a three by four matrix times a two by three matrix. The first matrix has row one is 5, negative 1, 4, 0, row two is 8, 5, 2, 1 and row three is 9, 8, 3, 0. The second matrix has row one is 6, 8, 10 and row two is 1, 2, 7.
190Your Answer
191D. Does not exist
192Question Number 7 	Points: 5.00/5.00
193Question Text
194IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 find 2A.
195Your Answer
196B. a 2 by 2 matrix: row one is 4, 14 and row two is 18, 20
197Question Number 8 	Points: 5.00/5.00
198Question Text
199Evaluate a one by three matrix times a three by two matrix. The first matrix has row one is negative 1, 4, 6. The second matrix has row one is 2, 3, row two is 5, 8 and row three is 7, 9.
200Your Answer
201B. a one by two matrix, row one is negative 64, 89
202Question Number 9 	Points: 5.00/5.00
203Question Text
204Evaluate2 times a three by three matrix with row one: 3, negative 1, 1; row two: 5, 5, 0; and row three: 0, 9, 6.
205Your Answer
206C. a three by three matrix with row one: 6, negative 2, 2; row two: 10, 10, 0; and row three: 0, 18, 12
207Question Number 10 	Points: 5.00/5.00
208Question Text
209Evaluate a one by two matrix times a two by one matrix. The first matrix has row one is 5, 0. The second matrix has row one is 6 and row two is 8.
210Your Answer
211A. one by one matrix, the term is 30
212
213Grade Received: 100.0% (20.00 pts out of 20.00 pts)
214
215
216Question Number 1 	Points: 5.00/5.00
217Question Text
218
219For which determinant does the inverse of a matrix not exist?
220Your Answer
221B. 0
222Question Number 2 	Points: 5.00/5.00
223Question Text
224
225Use a graphing calculator or spreadsheet software to find the inverse of
226Your Answer
227D.
228Question Number 3 	Points: 5.00/5.00
229Question Text
230Use a graphing calculator or spreadsheet software to find the inverse of
231Your Answer
232B.
233Question Number 4 	Points: 5.00/5.00
234Question Text
235
236What is the product of a matrix and its inverse?
237Your Answer
238C. Identity matrix
239Question Number 5 	Points: 5.00/5.00
240Question Text
241
242Find the inverse of
243Your Answer
244A. No Inverse
245Question Number 6 	Points: 5.00/5.00
246Question Text
247Does the matrix a 2 by 2 matrix: row one is 1, 1 and row two is 2, 2 have an inverse?
248Your Answer
249B. No
250Question Number 7 	Points: 5.00/5.00
251Question Text
252Find the determinant of a 2 by 2 matrix: row one is 2, 4 and row two is 1, 9.
253Your Answer
254A. 14
255Question Number 8 	Points: 5.00/5.00
256Question Text
257Find the determinant of a 2 by 2 matrix: row one is 6, 3 and row two is 10, 5.
258Your Answer
259C. 0
260Question Number 9 	Points: 5.00/5.00
261Question Text
262Find the determinant of a 2 by 2 matrix: row one is 6, 8 and row two is 7, 0.
263Your Answer
264B. -56
265Question Number 10 	Points: 5.00/5.00
266Question Text
267Does the matrix a 2 by 2 matrix: row one is 5, 8 and row two is 3, 7 have an inverse?
268Your Answer
269A. Yes 
270
271Grade Received: 95.0% (28.50 pts out of 30.00 pts)
272
273
274Question Number 1 	Points: 5.00/5.00
275Question Text
276Find the determinant of a two by two matrix with row one: 5, 1; and row two 0, negative 2.
277Your Answer
278C. -10
279Question Number 2 	Points: 5.00/5.00
280Question Text
281If Matrix A has dimensions 1 x 3, and Matrix B has dimensions 3 x 4, can these matrices be multiplied?
282Your Answer
283A. Yes
284Question Number 3 	Points: 0.00/5.00
285Question Text
286If Matrix A has dimensions 2 x 4, and Matrix B has dimensions 1 x 4, can these matrices be multiplied?
287Your Answer
288A. Yes
289Question Number 4 	Points: 5.00/5.00
290Question Text
291IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 and B equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10, find A + B.
292Your Answer
293A. a 2 by 2 matrix: row one is 3, 11 and row two is 14, 12
294Question Number 5 	Points: 5.00/5.00
295Question Text
296Find the determinant of a two by two matrix with row one: 0, 2; and row two 4, 1.
297Your Answer
298B. -8
299Question Number 6 	Points: 5.00/5.00
300Question Text
301
302Use a graphing calculator or spreadsheet software to find the inverse of
303Your Answer
304B.
305Question Number 7 	Points: 5.00/5.00
306Question Text
307IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 and B equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10, find A - B.
308Your Answer
309B. a 2 by 2 matrix: row one is negative 1, negative 3 and row two is negative 4, negative 8
310Question Number 8 	Points: 5.00/5.00
311Question Text
312IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 find 2A.
313Your Answer
314B. a 2 by 2 matrix: row one is 4, 14 and row two is 18, 20
315Question Number 9 	Points: 5.00/5.00
316Question Text
317IfB equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10 find 2B.
318Your Answer
319B. a 2 by 2 matrix: row one is 4, 14 and row two is 18, 20
320Question Number 10 	Points: 5.00/5.00
321Question Text
322Evaluatea two by two matrix with row one: 4, 6; and row two: 7, 1, plus a two by two matrix with row one: negative 1, 0; and row two: 9, 2.
323Your Answer
324A. a two by two matrix with row one: 3, 6; and row two: 16, 3
325Question Number 11 	Points: 5.00/5.00
326Question Text
327IfB equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10 find -2B.
328Your Answer
329C. a 2 by 2 matrix: row one is negative 4, negative 14 and row two is negative 18, negative 20
330Question Number 12 	Points: 5.00/5.00
331Question Text
332
333What is the product of a matrix and its inverse?
334Your Answer
335C. Identity matrix
336Question Number 13 	Points: 5.00/5.00
337Question Text
338Evaluatenegative 2 times a three by one matrix with terms 1, 4, 7.
339Your Answer
340A. a three by one matrix with terms negative 2, negative 8, negative 14
341Question Number 14 	Points: 5.00/5.00
342Question Text
343IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 and B equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10, find B - A.
344Your Answer
345C. a 2 by 2 matrix: row one is 1, 3 and row two is 4, 8
346Question Number 15 	Points: 5.00/5.00
347Question Text
348Does the matrix a 2 by 2 matrix: row one is 1, 1 and row two is 2, 2 have an inverse?
349Your Answer
350B. No
351Question Number 16 	Points: 5.00/5.00
352Question Text
353Evaluatea two by two matrix with row one: negative 9, 2; and row two: 4, 1, times a three by two matrix with row one: negative 4, 5; row two: negative 2, 1, and row three: 3, 0.
354Your Answer
355A. Not possible
356Question Number 17 	Points: 5.00/5.00
357Question Text
358Find the determinant of = a two by two matrix with row one: 2, 6; and row two 1, 3.
359Your Answer
360A. 0
361Question Number 18 	Points: 5.00/5.00
362Question Text
363
364Find the inverse of
365Your Answer
3667957548:C.
367Question Number 19 	Points: 5.00/5.00
368Question Text
369
370Find the inverse of
371Your Answer
372B.
373Question Number 20 	Points: 5.00/5.00
374Question Text
375Evaluatea two by two matrix with row one: 0, 2; and row two: negative 2, negative 5, times a two by two matrix with row one: negative 6, negative 6; and row two: 3, 0.
376Your Answer
377D. a two by two matrix with row one: 6, 0; and row two negative 27, 12
378
379Grade Received: 90.0% (18.00 pts out of 20.00 pts)
380
381
382Question Number 1 	Points: 0.00/5.00
383Question Text
384Is the following system consistent or inconsistent?
385
3862y = x - 7
387
388-2x - 6y = -14
389Your Answer
390B. Inconsistent
391Question Number 2 	Points: 5.00/5.00
392Question Text
393Is the following system consistent or inconsistent?
394
395y = 2x + 5
396-2x + y = -2
397Your Answer
398B. Inconsistent
399Question Number 3 	Points: 5.00/5.00
400Question Text
401What is the approximate solution of the following system of equations?
402graph of lines y equals negative x minus 5 and y equals x plus 9
403Your Answer
404B. (-7, 2)
405Question Number 4 	Points: 5.00/5.00
406Question Text
407What is the solution to this system of equations?
408graph of lines y equals 5 x plus 2 and y equals negative x plus 2
409Your Answer
410D. (0, 2)
411Question Number 5 	Points: 5.00/5.00
412Question Text
413What is the solution to this system of equations?
414graph of lines y equals x minus 3 and y equals negative x plus 2
415Your Answer
416B. (2.5, -0.5)
417Question Number 6 	Points: 5.00/5.00
418Question Text
419What is the approximate solution of the following system of equations?
420graph of lines y equals negative x plus 3 and y equals negative one-half x plus 1
421Your Answer
422A. (4, -1)
423Question Number 7 	Points: 5.00/5.00
424Question Text
425Is the following system consistent or inconsistent?
426
4278x + y + 4 = 0
428y = -8x - 4
429
430Your Answer
431A. Consistent
432Question Number 8 	Points: 5.00/5.00
433Question Text
434What is the approximate solution of the following system of equations?
435graph of lines y equals 2 x plus 1 and y equals 4 x plus 1
436Your Answer
437C. (0, 1)
438Question Number 9 	Points: 5.00/5.00
439Question Text
440Is the following system consistent or inconsistent?
441
442-2x - 2y = 6
44310x + 10y = -30
444Your Answer
445A. Consistent
446Question Number 10 	Points: 5.00/5.00
447Question Text
448Is the following system consistent or inconsistent?
449
4507x + 6 = -2y
451-14x -4y + 2 = 0
452Your Answer
453B. Inconsistent 
454
455Question Number 1 	Points: 5.00/5.00
456Question Text
457Solve the following system of equations by using the substitution method.
4582x – 3y = -1
459y = x – 1
460Your Answer
461C. (4, 3)
462Question Number 2 	Points: 5.00/5.00
463Question Text
464Solve the following system of equations by using the elimination method.
465-4x – 2y = -12
4664x + 8y = -24
467Your Answer
468D. (6, -6)
469Question Number 3 	Points: 5.00/5.00
470Question Text
471Solve the following system of equations by using the elimination method.
4724x + 8y = 20
473-4x + 2y = -30
474Your Answer
475B. (7, -1)
476Question Number 4 	Points: 5.00/5.00
477Question Text
478Solve the following system of equations by using the elimination method.
479x – y = 11
4802x + y = 19
481Your Answer
482D. (10, -1)
483Question Number 5 	Points: 5.00/5.00
484Question Text
485Solve the following system of equations by using the substitution method.
486y = 6x – 11
487-2x – 3y = -7
488Your Answer
489B. (2, 1)
490Question Number 6 	Points: 5.00/5.00
491Question Text
492Solve the following system of equations by using the substitution method.
493y = -3x + 5
4945x – 4y = -3
495Your Answer
496D. (1, 2) 
497
498Grade Received: 100.0% (20.00 pts out of 20.00 pts)
499
500
501Question Number 1 	Points: 5.00/5.00
502Question Text
503Use a graphing calculator or spreadsheet software to solve 3x – 3y + 5z = 13
5045x + 6y – 2z = 10
5057x + 5y = 18
506using matrices. 
507Your Answer
508B. (4, -2, -1)
509Question Number 2 	Points: 5.00/5.00
510Question Text
511Use a graphing calculator or spreadsheet software to solve x + 2y + z = 5
5122x – y + z = 4
5133x + y + 4z = 1
514using matrices.
515Your Answer
516A. (5, 2, -4)
517Question Number 3 	Points: 5.00/5.00
518Question Text
519Use a graphing calculator or spreadsheet software to solve 3x + 6y – 6z = 9
5202x – 5y + 4z = 6
521-x +16y + 14z = -3
522using matrices. 
523Your Answer
524D. (3, 0, 0)
525Question Number 4 	Points: 5.00/5.00
526Question Text
527Use a graphing calculator or spreadsheet software to solve 4x + y + z = 1
5288x – 4y – 7z = 2
5295y + 9z = 3
530using matrices. 
531Your Answer
532A. (0.5, -3, 2)
533Question Number 5 	Points: 5.00/5.00
534Question Text
535Use a graphing calculator or spreadsheet software to solve x – 2y – 3z = 3
5363x + y + z = 12
5373x – 2y – 4z = 15
538using matrices.
539Your Answer
540C. (3, 9, -6)
541Question Number 6 	Points: 5.00/5.00
542Question Text
543Use a graphing calculator or spreadsheet software to solve x + 3y + z = 1
5442x – y – z = 6
5455x + y + z = 1
546using matrices. 
547Your Answer
548B. (1, 2, -6) 
549
550Grade Received: 50.0% (10.00 pts out of 20.00 pts)
551
552
553Question Number 1 	Points: 5.00/10.00
554Question Text
555Solve by the substitution method. Show your work for full credit.
556y = 2x - 4
5577x – 5y = 14
558Your Answer
559(2,0)
560Teacher Remarks
561******* December 23, 2016 Hi Brayden, The solutions given for each problem are correct, but no work using the method specified is shown for any of the problems. The assignment is designed for students to demonstrate their understanding of the different methods of solving systems of equations. The assignment will 50% for the correct solutions. If you would like to show the work to solve each problem and improve your grade, please contact me, or any math teacher, in chat using the Talk to Teacher button in the upper right corner of your screen or give us a call at (866) 235-3276. Total for assignment 50% Sincerely, Mrs. Austin
562Question Number 2 	Points: 5.00/10.00
563Question Text
564Solve by the elimination method. Show your work for full credit.
5659x + 2y = 2
56621x + 6y = 4
567Your Answer
568(1/3,-1/2)
569Question Number 3 	Points: 5.00/10.00
570Question Text
571Solve using matrices.
5724x + 5y = 40
573x – y = 1
574
575Show work for full credit.
576Your Answer
577(5,4)
578Question Number 4 	Points: 5.00/10.00
579Question Text
580Solve the system:
5812x - 4y = 12
5823x - 6y = 21
583
584Show work for full credit.
585Your Answer
586no solution
587Question Number 5 	Points: 5.00/10.00
588Question Text
589Solve by the substitution method. Show your work for full credit.
590y = 3x – 12
5912x – 3y = -13
592Your Answer
593(7,9)
594
595Question Number 6 	Points: 5.00/10.00
596Question Text
597Solve by the elimination method. Show your work for full credit.
5982x – 5y = 1
5993x – 4y = -2
600Your Answer
601(-2,-1)
602Question Number 7 	Points: 5.00/10.00
603Question Text
604Solve using matrices. Show work for full credit.
6053x + 5y = -4
606x + 2y = -2
607Your Answer
608(2,-2)
609Question Number 8 	Points: 5.00/10.00
610Question Text
611Solve the system:
6124x - y = 8
613-8x + 2y = -5
614
615Show work for full credit.
616Your Answer
617no solution 
618
619Grade Received: 90.0% (18.00 pts out of 20.00 pts)
620
621
622Question Number 1 	Points: 5.00/5.00
623Question Text
624Identify the system of equations used to solve the following problem. If a 7% saline solution and a 4% saline solution are mixed to make 500 milliliters of a 5% saline solution, how much of each solution, to the nearest milliliter, is needed?
625Your Answer
626B. x+y=5000.07x+0.04y=25
627Question Number 2 	Points: 5.00/5.00
628Question Text
629
630Using the graph, solve the system.
631y=2x-1
632
633y=|x-2|
634
635Your Answer
636D. (1,1)
637Question Number 3 	Points: 5.00/5.00
638Question Text
639
640Using the graph, solve the system.
641y=2x-5
642
643y=|x-2|
644
645Your Answer
646C. (3, 1)
647Question Number 4 	Points: 5.00/5.00
648Question Text
649
650Using the graph, solve the system.
651y=-2x+3
652
653y=logx+1
654
655Your Answer
656D. (1,1)
657Question Number 5 	Points: 5.00/5.00
658Question Text
659If a 7% saline solution and a 4% saline solution are mixed to make 500 milliliters of a 5% saline solution, how much of each solution, to the nearest milliliter, is needed?
660Your Answer
661A. 167 milliliters of the 7% solution and 333 milliliters of 4% solution
662Question Number 6 	Points: 5.00/5.00
663Question Text
664A collection of dimes and quarters has a total value of five dollars and contains 29 coins. How much of each kind of coin are there in the collection?
665Your Answer
666A. 15 dimes and 14 quarters
667Question Number 7 	Points: 5.00/5.00
668Question Text
669A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution?
670Your Answer
671B. 167 milliliters of the 10% solution and 333 milliliters of 4% solution
672Question Number 8 	Points: 5.00/5.00
673Question Text
674One number is 7 more than another number. The sum of the numbers is 63. What are the numbers?
675Your Answer
676C. 28 and 35
677Question Number 9 	Points: 5.00/5.00
678Question Text
679The sum of two numbers is 7. Four times the first number is one more than 5 times the second. Find the two numbers.
680Your Answer
681B. 4 and 3
682Question Number 10 	Points: 0.00/5.00
683Question Text
684Identify the system of equations used to solve the following problem. A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution?
685Your Answer
686B. x+y=500.04x+0.10y=30
687
688Grade Received: 80.0% (16.00 pts out of 20.00 pts)
689
690
691Question Number 1 	Points: 5.00/5.00
692Question Text
693Which of the following is a solution to the following system of inequalities?
694dotted line at y equals negative one-half x plus two, dotted line at y equals negative two x plus 3, shaded below the first line and above the second line
695Your Answer
696B. (4, -1)
697Question Number 2 	Points: 5.00/5.00
698Question Text
699Which of the following is a solution to the following system of inequalities?
700dotted line at y equals negative one-half x plus two, dotted line at y equals negative two x plus 3, shaded below the first line and above the second line
701Your Answer
702D. (4, -4)
703Question Number 3 	Points: 0.00/5.00
704Question Text
705
706Using the graph, solve the system.
707y=1x-1+1
708
709y=|x-1|+1
710
711Your Answer
712C. (2, -2)
713Question Number 4 	Points: 5.00/5.00
714Question Text
715Which of the following is NOT a solution to the system of inequalities?
716dotted line at y equals negative 2 and solid line at y equals negative 5 x plus 3, shaded above both lines
717Your Answer
718A. (2, -2)
719Question Number 5 	Points: 5.00/5.00
720Question Text
721Which of the following is a solution to the following system of inequalities?
722solid line at y equals negative one-half x plus two, solid line at y equals negative two x plus 1, shaded below the first line and above the second line
723Your Answer
724A. (1, 1)
725Question Number 6 	Points: 5.00/5.00
726Question Text
727Which of the following is a solution to the following system of inequalities?
728solid line at y equals negative one-half x plus two, solid line at y equals negative two x plus 1, shaded below the first line and above the second line
729Your Answer
730B. (3, -3)
731Question Number 7 	Points: 5.00/5.00
732Question Text
733Which of the following is NOT a solution to the system of inequalities?
734dotted line at y equals 4 x minus 3 and solid line at y equals negative 2 x plus 3, shaded above both lines
735Your Answer
736A. (2, 3)
737Question Number 8 	Points: 5.00/5.00
738Question Text
739
740Which is a point of the vertices for the following:
741y=2x-3y=-13x+4x=9
742Your Answer
743B. (3, 3)
744Question Number 9 	Points: 0.00/5.00
745Question Text
746
747Which is a point of the vertices for the following:
748y=3x-5y=-12x+2x=-4
749Your Answer
750A. (-4, -20)
751Question Number 10 	Points: 5.00/5.00
752Question Text
753
754Using the graph, solve the system.
755y=1x-2+3
756
757y=logx+2
758
759Your Answer
760C. (1,2) 
761
762Grade Received: 81.8% (24.55 pts out of 30.00 pts)
763
764
765Question Number 1 	Points: 5.00/5.00
766Question Text
767
768Using the graph, solve the system.
769y=2x-5
770
771y=|x-2|
772
773Your Answer
774C. (3, 1)
775Question Number 2 	Points: 5.00/5.00
776Question Text
777Solve the following system of equations by using the elimination method.
778-2x + 9y = -13
7796x – 3y = 15
780Your Answer
781C. (2, -1)
782Question Number 3 	Points: 0.00/5.00
783Question Text
784Identify the system of equations used to solve the following problem. How much of a 60% saline solution would you need to add to pure water to create 10 L of a 50% saline solution?
785Your Answer
786A. x+y=100.06x+y=5
787Question Number 4 	Points: 5.00/5.00
788Question Text
789Solve the following system of equations by using the elimination method.
790x + y = 4
7912x + 3y = 9
792Your Answer
793A. (3, 1)
794Question Number 5 	Points: 5.00/5.00
795Question Text
796Solve the following system of equations by using the substitution method.
7973y – 2x = 11
798y + 2x = 9
799Your Answer
800A. (2, 5)
801Question Number 6 	Points: 5.00/5.00
802Question Text
803Solve the following system of equations by using the elimination method.
8042x – 5y = 22
8052x – 3y = 6
806Your Answer
807B. (-9, -8)
808Question Number 7 	Points: 0.00/5.00
809Question Text
810
811Which is the maximum value for the vertices for the following:
812y=2x-3y=-13x+4
813x=9
814f( x,y )=3x-2y
815Your Answer
816B. 3
817Question Number 8 	Points: 5.00/5.00
818Question Text
819Which of the following is the correct solution to x = 2?
820y < 5
821Your Answer
822B. solid line at x equals 2, dotted line at y equals 5, shaded below and to the right
823Question Number 9 	Points: 5.00/5.00
824Question Text
825Solve the following system of equations by using the substitution method.
826x – y = 3
8272x + 2y = 2
828Your Answer
829C. (2, -1)
830Question Number 10 	Points: 5.00/5.00
831Question Text
832Solve the following system of equations using matrices.
8333x – 2y = 31
8343x + 2y = -1
835Your Answer
836A. (5, -8)
837Question Number 11 	Points: 5.00/5.00
838Question Text
839Solve the following system of equations using matrices.
8405x + 3y = 46
8412x + 5y = 7
842Your Answer
843D. (11, -3)
844Question Number 12 	Points: 5.00/5.00
845Question Text
846Which of the following is NOT a solution to the system of inequalities?
847dotted line at y equals 3 and solid line at y equals negative x plus 1, shaded below both lines
848Your Answer
849C. (-3, 3)
850Question Number 13 	Points: 5.00/5.00
851Question Text
852Use a graphing calculator or spreadsheet software to solve –x + y + 2z = 2
8532x – y + z = 5
854-4x – y + 3z = 3
855using matrices.
856Your Answer
857C. (1, -1, 2)
858Question Number 14 	Points: 5.00/5.00
859Question Text
860What is the system of equations that describes the following graph?
861solid line at x equals negative 1, dotted line at y equals negative x plus 3, shaded above and to the right
862Your Answer
863A. x + y > 3
864x = -1
865Question Number 15 	Points: 0.00/5.00
866Question Text
867Solve the following system of equations using matrices.
868x + y = 1
8692x + 5y = 4
870Your Answer
871A.
872Question Number 16 	Points: 5.00/5.00
873Question Text
874What is the solution to this system of equations?
875graph of lines y equals negative x and y equals negative x plus 2
876Your Answer
877A. (-4, 4)
878Question Number 17 	Points: 5.00/5.00
879Question Text
880
881Using the graph, solve the system.
882y=2x-1
883
884y=|x-2|
885
886Your Answer
887D. (1,1)
888Question Number 18 	Points: 5.00/5.00
889Question Text
890What is the approximate solution of the following system of equations?
891graph of lines y equals negative x minus 5 and y equals x plus 9
892Your Answer
893B. (-7, 2)
894Question Number 19 	Points: 5.00/5.00
895Question Text
896What is the approximate solution of the following system of equations?
897graph of lines y equals 2 x plus 1 and y equals 4 x plus 1
898Your Answer
899C. (0, 1)
900Question Number 20 	Points: 0.00/5.00
901Question Text
902How much of a 60% saline solution would you need to add to pure water to create 10 L of a 50% saline solution?
903Your Answer
904C. 5 L
905Question Number 21 	Points: 5.00/5.00
906Question Text
907Solve the following system of equations by using the substitution method.
908y = x + 3
909y = 2x – 4
910Your Answer
911B. (7, 10)
912Question Number 22 	Points: 5.00/5.00
913Question Text
914What is the approximate solution of the following system of equations?
915graph of lines y equals negative x plus 3 and y equals negative one-half x plus 1
916Your Answer
917A. (4, -1) 
918
919Question Number 1 	Points: 5.00/5.00
920Question Text
921Suppose a coin is tossed 3 times. Find the probability of obtaining no heads.
922Your Answer
923C. 1/8
924Question Number 2 	Points: 5.00/5.00
925Question Text
926A book shelf has 6 different math books on the top level and 5 different language books at the bottom level. In how many ways can one math book and one language book be picked?
927Your Answer
928D. 30
929Question Number 3 	Points: 5.00/5.00
930Question Text
931Suppose you flip a coin three times. Find the probability of resulting in two heads.
932Your Answer
933C. 3/8
934Question Number 4 	Points: 5.00/5.00
935Question Text
936If a student guesses the answers to four true-false questions, what is the probability that he will guess all four correctly?
937Your Answer
938C. 1/16
939Question Number 5 	Points: 5.00/5.00
940Question Text
941Suppose a coin is tossed 3 times. How many different outcomes are possible?
942Your Answer
943C. 8
944Question Number 6 	Points: 0.00/5.00
945Question Text
946Suppose a coin is tossed 3 times. Find the probability of obtaining exactly one head.
947Your Answer
948C. 1/8
949Question Number 7 	Points: 5.00/5.00
950Question Text
951An automobile company has 10 choices of body styles and 8 choices of engines. How many combinations are available?
952Your Answer
953C. 80
954Question Number 8 	Points: 5.00/5.00
955Question Text
956Suppose you are making yourself a sandwich. How many different sandwiches can you make if you have 4 choices in bread, 2 choices in meat, and 5 choices in cheese?
957Your Answer
958A. 40
959Question Number 9 	Points: 0.00/5.00
960Question Text
961Suppose you are getting dressed in the morning and are looking for an outfit. How many different outfits can you create if you have 5 different shirts, 6 different pants, 3 different pairs of shoes, and 2 different hats?
962Your Answer
963A. 90
964Question Number 10 	Points: 5.00/5.00
965Question Text
966Suppose you roll a die two times. What is the probability of rolling a 3 both times?
967Your Answer
968D. 1/36 
969
970Grade Received: 70.0% (14.00 pts out of 20.00 pts)
971
972
973Question Number 1 	Points: 5.00/5.00
974Question Text
975How many 3-digit numbers can be formed from the 5 digits {1, 2, 3, 4, 5} if no digit may be repeated in a number?
976Your Answer
977B. 60
978Question Number 2 	Points: 5.00/5.00
979Question Text
980A group of 5 people line up for a photograph to be taken. Find the total number of arrangements for the 5 people.
981Your Answer
982D. 120
983Question Number 3 	Points: 5.00/5.00
984Question Text
985How many combinations of 6 different 10th grade subjects can Tyler choose from the 9 subjects offered?
986Your Answer
987B. 84
988Question Number 4 	Points: 5.00/5.00
989Question Text
990How many 3-letter arrangements of the letters in the word "april" are there if no letter may be repeated in an arrangement?
991Your Answer
992A. 60
993Question Number 5 	Points: 5.00/5.00
994Question Text
995Evaluate the number of permutations of 7 things taken 5 at a time.
996Your Answer
997C. 2,520
998Question Number 6 	Points: 5.00/5.00
999Question Text
1000Evaluate 10 factorial divided by 5 factorial times 5 factorial.
1001Your Answer
1002D. 252
1003Question Number 7 	Points: 0.00/5.00
1004Question Text
1005Evaluate the number of combinations of 8 things taken 3 at a time.
1006Your Answer
1007B. 28
1008Question Number 8 	Points: 5.00/5.00
1009Question Text
1010Find the number of permutations in the word CIRCUS.
1011Your Answer
1012A. 360
1013Question Number 9 	Points: 0.00/5.00
1014Question Text
1015Evaluate the number of combinations of 10 things taken 4 at a time.
1016Your Answer
1017C. 360
1018Question Number 10 	Points: 0.00/5.00
1019Question Text
1020Evaluate the number of permutations of 6 things taken 6 at a time.
1021Your Answer
1022D. 3,360 
1023
1024Grade Received: 85.0% (25.50 pts out of 30.00 pts)
1025
1026
1027Question Number 1 	Points: 5.00/5.00
1028Question Text
1029I’m buying a new car. It comes in eight different colors and two different styles. How many total options do I have?
1030Your Answer
1031D. 16
1032Question Number 2 	Points: 0.00/5.00
1033Question Text
1034Find the number of ways to listen to 4 different CDs from a selection of 15 CDs.
1035Your Answer
1036A. 1,355
1037Question Number 3 	Points: 5.00/5.00
1038Question Text
10394 math books, 5 chemistry books, and 3 language books are displayed on a shelf with math books together, chemistry books together, and language books together, with math books first, then chemistry books next, then language books last. In how many ways can this be done?
1040Your Answer
1041B.
1042Question Number 4 	Points: 5.00/5.00
1043Question Text
1044How many different 12-member juries can be chosen from a pool of 40 people?
1045Your Answer
1046C. 5,586,853,480
1047Question Number 5 	Points: 5.00/5.00
1048Question Text
1049The tour includes a trip to one museum, one amusement park, and one restaurant. There are four different museums, three amusement parks, and five restaurants to choose from. How many choices are there for your tour?
1050Your Answer
1051A. 60
1052Question Number 6 	Points: 5.00/5.00
1053Question Text
1054How many ways are there to choose a committee of 7 people from a group of 10 people?
1055Your Answer
1056B. 120
1057Question Number 7 	Points: 5.00/5.00
1058Question Text
1059How many even 5-digit numbers can be formed from the numbers 1, 2, 4, 7, 8 if no digit is repeated in a number?
1060Your Answer
1061A. 72
1062Question Number 8 	Points: 5.00/5.00
1063Question Text
1064Two cards are drawn with replacement from a standard deck of 52 playing cards. Find the probability that the first card is a king and the second is a diamond.
1065Your Answer
1066B. (4/52)(13/52)
1067Question Number 9 	Points: 5.00/5.00
1068Question Text
1069Find the number of permutations of the first 8 letters of the alphabet taking 5 letters at a time.
1070Your Answer
1071C. 6,720
1072Question Number 10 	Points: 5.00/5.00
1073Question Text
1074Find the number of permutations in the word CIRCUS.
1075Your Answer
1076A. 360
1077Question Number 11 	Points: 5.00/5.00
1078Question Text
1079Two cards are drawn with replacement from a standard deck of 52 playing cards. Find the probability that both are kings.
1080Your Answer
1081A. (4/52)(4/52)
1082Question Number 12 	Points: 5.00/5.00
1083Question Text
1084Find the number of permutations of the first 8 letters of the alphabet taking 4 letters at a time.
1085Your Answer
1086A. 1,680
1087Question Number 13 	Points: 0.00/5.00
1088Question Text
1089Find the number of ways to listen to 4 CDs from a selection of 8 CDs.
1090Your Answer
1091C. 70
1092Question Number 14 	Points: 5.00/5.00
1093Question Text
1094Evaluate the number of permutations of 16 things taken 3 at a time.
1095Your Answer
1096D. 3,360
1097Question Number 15 	Points: 5.00/5.00
1098Question Text
1099Find the number of ways to purchase 3 different kinds of drinks from a selection of 10 drinks.
1100Your Answer
1101C. 120
1102Question Number 16 	Points: 5.00/5.00
1103Question Text
1104Find the number of permutations in the word ARITHMETIC.
1105Your Answer
1106B. 907,200
1107Question Number 17 	Points: 5.00/5.00
1108Question Text
1109How many ways are there to choose a committee of 3 people from a group of 5 people?
1110Your Answer
1111A. 10
1112Question Number 18 	Points: 5.00/5.00
1113Question Text
1114A bag contains 2 blue and 3 green marbles. Two marbles are drawn at random without replacement. Which of the following gives the probability of drawing a blue marble, then a green marble?
1115Your Answer
1116C. (2/5)(3/4)
1117Question Number 19 	Points: 0.00/5.00
1118Question Text
1119A bag contains 2 blue and 3 green marbles. Two marbles are drawn at random with replacement. Which of the following gives the probability of drawing two blue marbles?
1120Your Answer
1121B. 9/25
1122Question Number 20 	Points: 5.00/5.00
1123Question Text
1124Find the number of ways to purchase 5 different kinds of juices from a selection of 10 juices.
1125Your Answer
1126D. 252 
1127
1128========================================================midterm exam=====================================================
1129Question Number 1 	Points: 5.00/5.00
1130Question Text
1131Find the number of permutations in the word CIRCUS.
1132Your Answer
1133A. 360
1134Question Number 2 	Points: 0.00/5.00
1135Question Text
1136Solve the following system of equations by using the elimination method.
1137-4x – 2y = -12
11384x + 8y = -24
1139Your Answer
1140B. (-6, -6)
1141Question Number 3 	Points: 5.00/5.00
1142Question Text
1143Use a graphing calculator or spreadsheet software to find the inverse of
1144Your Answer
1145B.
1146Question Number 4 	Points: 5.00/5.00
1147Question Text
1148
1149Using the graph, solve the system.
1150y=2x-5
1151
1152y=|x-2|
1153
1154Your Answer
1155C. (3, 1)
1156Question Number 5 	Points: 5.00/5.00
1157Question Text
1158IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 and B equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10, find A - B.
1159Your Answer
1160B. a 2 by 2 matrix: row one is negative 1, negative 3 and row two is negative 4, negative 8
1161Question Number 6 	Points: 5.00/5.00
1162Question Text
1163You’ve won a free meal at a local restaurant. Your free meal includes one beverage, one entrée, and one dessert. You have three different choices of beverage, six different entrées to choose from, and two desserts to tempt you. How many choices are there for ordering your meal?
1164Your Answer
1165D. 36
1166Question Number 7 	Points: 5.00/5.00
1167Question Text
1168A test consists of 20 problems, and students are told to answer any 15 of these questions. In how many different ways can they choose the 15 questions?
1169Your Answer
1170A. 15,504
1171Question Number 8 	Points: 5.00/5.00
1172Question Text
1173IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 and B equals a 2 by 2 matrix: row one is 2, 7 and row two is 9, 10, find A + B.
1174Your Answer
1175A. a 2 by 2 matrix: row one is 3, 11 and row two is 14, 12
1176Question Number 9 	Points: 5.00/5.00
1177Question Text
1178Use a graphing calculator or spreadsheet software to solve -3x + 2y + z = -6
1179x + 3y + 2z = 5
11804x + 4y + 3z = 13
1181using matrices. 
1182Your Answer
1183D. (3, 4, -5)
1184Question Number 10 	Points: 5.00/5.00
1185Question Text
1186IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 find -2A.
1187Your Answer
1188C. a 2 by 2 matrix: row one is negative 4, negative 14 and row two is negative 18, negative 20
1189Question Number 11 	Points: 5.00/5.00
1190Question Text
1191Evaluatea three by two matrix with row one: 4, 5: row two: negative 2, 1; and row three: 3, 0; times a two by three matrix with row one: 1, negative 2, 1; and row two: 0, 3, negative 4a three by two matrix with row one: 4, 5: row two: negative 2, 1; and row three: 3, 0; times a two by three matrix with row one: 1, negative 2, 1; and row two: 0, 3, negative 4.
1192Your Answer
1193B. a three by three matrix with row one: 4, 7, negative 16; row two: negative 2, 7, negative 6; and row three: 3, negative 6, 3
1194Question Number 12 	Points: 5.00/5.00
1195Question Text
1196
1197Which is a point of the vertices for the following:
1198y=3x+5y=-12x+2x=-6
1199Your Answer
1200D. (-6, -13)
1201Question Number 13 	Points: 5.00/5.00
1202Question Text
1203How many different ways can the letters in the word OBJECTS be arranged?
1204Your Answer
1205A. 5,040
1206Question Number 14 	Points: 5.00/5.00
1207Question Text
1208Find the number of permutations of 12 letters taken 2 at a time.
1209Your Answer
1210A. 132
1211Question Number 15 	Points: 5.00/5.00
1212Question Text
1213Find the determinant of a two by two matrix with row one: 8, 6; and row two 4, 3.
1214Your Answer
1215A. 0
1216Question Number 16 	Points: 5.00/5.00
1217Question Text
1218How many different 12-member juries can be chosen from a pool of 35 people?
1219Your Answer
1220D. 834,451,800
1221Question Number 17 	Points: 5.00/5.00
1222Question Text
1223
1224What is the product of a matrix and its inverse?
1225Your Answer
1226C. Identity matrix
1227Question Number 18 	Points: 5.00/5.00
1228Question Text
1229Use a graphing calculator or spreadsheet software to solve 9x + 5y + 3z = 4
12306x + 2y + 4z = 2
1231-3x + 3y – 7z = 2
1232using matrices. 
1233Your Answer
1234A. (-1, 2, 1)
1235Question Number 19 	Points: 5.00/5.00
1236Question Text
1237Find the number of permutations of the first 9 letters of the alphabet taking 6 letters at a time.
1238Your Answer
1239B. 60,480
1240Question Number 20 	Points: 5.00/5.00
1241Question Text
1242What is the approximate solution of the following system of equations?
1243graph of lines y equals negative x minus 5 and y equals x plus 9
1244Your Answer
1245B. (-7, 2)
1246Question Number 21 	Points: 5.00/5.00
1247Question Text
1248Two cards are drawn without replacement from a standard deck of 52 playing cards. Find the probability that both are odd numbers (aces are considered odd because they have a value of 1 or 11).
1249Your Answer
1250C. (20/52)(19/51)
1251Question Number 22 	Points: 5.00/5.00
1252Question Text
1253Find the number of permutations of the first 10 letters of the alphabet taking 2 letters at a time.
1254Your Answer
1255C. 90
1256Question Number 23 	Points: 5.00/5.00
1257Question Text
1258What is a system called if it has exactly one solution?
1259Your Answer
1260C. Independent
1261Question Number 24 	Points: 5.00/5.00
1262Question Text
1263What is the approximate solution of the following system of equations?
1264graph of lines y equals negative x plus 3 and y equals negative one-half x plus 1
1265Your Answer
1266A. (4, -1)
1267Question Number 25 	Points: 5.00/5.00
1268Question Text
1269Evaluatea two by two matrix with row one: 3, 2; and row two: 5, 4; times a two by two matrix with row one: negative 2, 3; and row two: 1, 6.
1270Your Answer
1271C. a two by two matrix with row one: negative 4, 21; and row two: negative 6, 39
1272Question Number 26 	Points: 0.00/5.00
1273Question Text
1274What is the correct matrix for the inventory of boots in sizes 10 and 12.
1275
1276 
1277	
1278
1279Boots
1280Blue          Gray
1281	
1282
1283Flats
1284Blue          Gray
1285	
1286
1287Sneakers
1288Blue          Gray
1289
1290Shoes Size 10
1291	
1292
12933                    5
1294	
1295
12969                    10
1297	
1298
12991                    4
1300
1301Shoes Size 12
1302	
1303
13042                    0
1305	
1306
13072                    7
1308	
1309
13104                    0
1311Your Answer
1312C. a two by two matrix with row one: 1, 4; and row two: 4, 0
1313Question Number 27 	Points: 5.00/5.00
1314Question Text
1315Solve the system using substitution.
1316y = 7x
1317x2 + y2 = 800
1318Your Answer
1319B. (-4, -28) and (4, 28)
1320Question Number 28 	Points: 5.00/5.00
1321Question Text
1322Solve the following system of equations using matrices.
1323y = 2x – 1
13246x – y = 13
1325Your Answer
1326A. (3, 5)
1327Question Number 29 	Points: 5.00/5.00
1328Question Text
1329Solve the following system of equations using elimination.
13306x + 4y = 12
13313x + 2y = 6
1332Your Answer
1333B. Infinitely many solutions
1334Question Number 30 	Points: 5.00/5.00
1335Question Text
1336IfA equals a 2 by 2 matrix: row one is 1, 4 and row two is 5, 2 find 2A.
1337Your Answer
1338B. a 2 by 2 matrix: row one is 4, 14 and row two is 18, 20
1339Question Number 31 	Points: 5.00/5.00
1340Question Text
1341Solve the following system of equations using matrices.
1342x + 3y = 13
13432x – y = -9
1344Your Answer
1345C. (-2, 5)
1346Question Number 32 	Points: 5.00/5.00
1347Question Text
1348What is the system of equations that describes the following graph?
1349solid line at y equals x minus 2, solid line at y equals three-halves x plus one-third, shaded below the first line and above the second line
1350Your Answer
1351B. 2x + 3y = 1
1352x – y = 2
1353Question Number 33 	Points: 5.00/5.00
1354Question Text
1355
1356Using the graph, solve the system.
1357y=2x-1
1358
1359y=|x-2|
1360
1361Your Answer
1362D. (1,1)
1363Question Number 34 	Points: 5.00/5.00
1364Question Text
1365Solve the system using substitution.
1366y = 5x
1367x2 + y2 = 104
1368Your Answer
1369C. (-2, -10) and (2, 10)
1370Question Number 35 	Points: 5.00/5.00
1371Question Text
1372A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution?
1373Your Answer
1374B. 167 milliliters of the 10% solution and 333 milliliters of 4% solution
1375Question Number 36 	Points: 5.00/5.00
1376Question Text
1377Two cards are drawn without replacement from a standard deck of 52 playing cards. Find the probability that the first is an odd number card (aces are considered odd because they have a value of 1 or 11) and the second is a face card.
1378Your Answer
1379A. (20/52)(12/51)
1380Question Number 37 	Points: 0.00/5.00
1381Question Text
1382Find the determinant of a two by two matrix with row one: 0, 5; and row two 4, 2.
1383Your Answer
1384N/A
1385Question Number 38 	Points: 5.00/5.00
1386Question Text
1387What is the system of equations that describes the following graph?
1388solid line at x equals 2, solid line at y equals 1, dotted line at y equals x minus 2, shaded below and to the right
1389Your Answer
1390C. x = 2
1391y = 1
1392x – y > 2
1393Question Number 39 	Points: 5.00/5.00
1394Question Text
1395You can choose which math, English, and social studies classes you want to take, but you can only take one of each. Your choices consist of six different kinds of math classes, two different English classes, and four different social studies classes. How many choices are there for your class schedule?
1396Your Answer
1397A. 48
1398Question Number 40 	Points: 5.00/5.00
1399Question Text
1400Find the number of permutations of the word "helicopter."
1401Your Answer
1402B. 1,814,400 
1403
1404=============================================================aftermid==============================================
1405Question Number 1	Points: 5.00/5.00
1406Question Text
1407Which of the following is the graph of the polynomial f(x) = (x – 2)3 ?
1408Your Answer
1409B. 
1410Question Number 2	Points: 5.00/5.00
1411Question Text
1412What is the degree of the polynomial -x3 + y5? 
1413Your Answer
1414D. 5
1415Question Number 3	Points: 5.00/5.00
1416Question Text
1417What is the degree of the monomial (3x^2y)/5? 
1418Your Answer
1419C. 3
1420Question Number 4	Points: 5.00/5.00
1421Question Text
1422Find the roots for the polynomial 
1423y = x(x + 1)(x – 3)(x – 2v2)(x + 2v2). 
1424Your Answer
1425B. 0, –1, 3, –2v2, 2v2
1426Question Number 5	Points: 5.00/5.00
1427Question Text
1428What is the degree of the polynomial a4 + b3 - 2ab + c?  
1429Your Answer
1430D. 4
1431Question Number 6	Points: 5.00/5.00
1432Question Text
1433Find the roots for the polynomial y = (x + 1)(x – 1)(x – 2). 
1434Your Answer
1435A. –1, 1, 2
1436Question Number 7	Points: 5.00/5.00
1437Question Text
1438Which of the following is the sketch of the polynomial f(x) = 2(x - 3)(2x - 3)(2x + 1)(x + 2)?
1439Your Answer
1440A. 
1441Question Number 8	Points: 5.00/5.00
1442Question Text
1443Which of the following is the sketch for g(x) = (x + 2)2 - 1 given the parent graph f(x) = (x)2?
1444AlgIIB_U3_Graph5
1445Your Answer
1446B. 
1447Question Number 9	Points: 5.00/5.00
1448Question Text
1449Which of the following is the sketch of the polynomial f(x) = x(x – 1)(x – 2)? 
1450Your Answer
1451B. 
1452Question Number 10	Points: 5.00/5.00
1453Question Text
1454What is the horizontal shift for the graph of f(x) = (x - 3)3 + 2?
1455Your Answer
1456D. Right 3
1457
1458Question Number 1	Points: 5.00/5.00
1459Question Text
1460Subtract: . 
1461Your Answer
1462A. 
1463Question Number 2	Points: 5.00/5.00
1464Question Text
1465Subtract: . 
1466Your Answer
1467D. 
1468Question Number 3	Points: 5.00/5.00
1469Question Text
1470Find the fifth term of (2x + y)10.
1471Your Answer
1472A. 13,440x6y4
1473Question Number 4	Points: 5.00/5.00
1474Question Text
1475What is the third term of (x + y)9?
1476Your Answer
1477D. 36x7y2
1478Question Number 5	Points: 5.00/5.00
1479Question Text
1480Simplify: . 
1481Your Answer
1482A. 
1483Question Number 6	Points: 5.00/5.00
1484Question Text
1485Expand (n - 4)6.
1486Your Answer
1487A. n6 - 24n5 + 240n4 - 1,280n3 + 3,840n2 - 6,144n + 4,096
1488Question Number 7	Points: 5.00/5.00
1489Question Text
1490Simplify: . 
1491Your Answer
1492A. 
1493Question Number 8	Points: 5.00/5.00
1494Question Text
1495Expand (x + y)6.
1496Your Answer
1497B. x6 + 6x5y + 15x4y2 + 20x3y3 + 15x2y4 + 6xy5 + y6
1498Question Number 9	Points: 5.00/5.00
1499Question Text
1500Expand (x - 2)6.
1501Your Answer
1502C. x6 - 12x5 + 60x4 - 160x3 + 240x2 - 192x + 64
1503Question Number 10	Points: 5.00/5.00
1504Question Text
1505What is the seventh term of (x + 4)8?
1506Your Answer
1507A. 114,688x2
1508
1509Question Number 1	Points: 5.00/5.00
1510Question Text
1511P(x) = 4x3 + 5x2 - 8x - 4 is divided by x + 2. Use synthetic division to find the quotient and the remainder. 
1512Your Answer
1513A. 4x2 – 3x – 2; 0
1514Question Number 2	Points: 0.00/5.00
1515Question Text
1516What is the value of f(2)?  
1517Your Answer
1518B. 2
1519Question Number 3	Points: 5.00/5.00
1520Question Text
1521P(x) = x2 + x – 2. Find P(2). 
1522Your Answer
1523C. 4
1524Question Number 4	Points: 5.00/5.00
1525Question Text
1526Divide 2x3 + 9x2 + 5 by x2 + 4x - 3. Find the quotient and remainder. 
1527Your Answer
1528A. 2x + 1; 2x + 8
1529Question Number 5	Points: 0.00/5.00
1530Question Text
1531What is the quotient?  
1532Your Answer
1533A. 
1534Question Number 6	Points: 0.00/5.00
1535Question Text
1536What is the remainder?  
1537Your Answer
1538A. -5
1539Question Number 7	Points: 5.00/5.00
1540Question Text
1541Divide 8x2 - 6x - 20 by x – 2. Find the quotient and remainder. 
1542Your Answer
1543B. 8x + 10; 0
1544Question Number 8	Points: 0.00/5.00
1545Question Text
1546What is the dividend f(x)?   
1547Your Answer
1548C. 
1549Question Number 9	Points: 0.00/5.00
1550Question Text
1551P(x) = x5 - 5x3 + 2x2 - x + 3. Find P(2). 
1552Your Answer
1553A. 0
1554Question Number 10	Points: 5.00/5.00
1555Question Text
1556Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder. 
1557Your Answer
1558B. 2x2 – 5x + 3; –6
1559
1560Question Number 1	Points: 5.00/5.00
1561Question Text
1562Which of the following is a possible rational zero for the polynomial 3x3 + 5x2 - 4x + 4?
1563Your Answer
1564C. 23
1565Question Number 2	Points: 5.00/5.00
1566Question Text
1567Which of the following is a possible rational zero for the polynomial 2x3 + 7x2 - 5x + 5?
1568Your Answer
1569D. 12
1570Question Number 3	Points: 0.00/5.00
1571Question Text
1572Determine how many zeros there will be for the polynomial f(x) = 2x11 - 7x3 + 9x2 - 13
1573Your Answer
1574B. 3
1575Question Number 4	Points: 5.00/5.00
1576Question Text
1577Which of the following is a possible rational zero for the polynomial 4x3 + 7x2 - 5x + 3?
1578Your Answer
1579A. -3
1580Question Number 5	Points: 5.00/5.00
1581Question Text
1582Which of the following is a possible rational zero for the polynomial 6x3 + 9x2 - 3x + 2?
1583Your Answer
1584D. 2
1585Question Number 6	Points: 5.00/5.00
1586Question Text
1587Determine how many zeros there will be for the polynomial f(x) = 5x9 + 9x3 - 11x2 - 15
1588Your Answer
1589C. 9
1590Question Number 7	Points: 5.00/5.00
1591Question Text
1592Which of the following is a zero of the function f(x) = x3 - x2 - 21x + 45.
1593Your Answer
1594C. 3
1595Question Number 8	Points: 5.00/5.00
1596Question Text
1597Which of the following is a zero of the function f(x) = 2x3 - 15x2 - 47x - 30.
1598Your Answer
1599B. -1
1600Question Number 9	Points: 5.00/5.00
1601Question Text
1602Which of the following is a zero of the function f(x) = 2x3 + 3x2 - 3x - 2.
1603Your Answer
1604A. -2
1605Question Number 10	Points: 5.00/5.00
1606Question Text
1607Which of the following is a zero of the function f(x) = x3 - 7x2 + 7x + 15.
1608Your Answer
1609C. -1
1610
1611Question Number 1	Points: 0.00/5.00
1612Question Text
1613What is the 4th term ofthe quantity a minus the square root of 2 raised to the eighth power?
1614Your Answer
1615C. 112ALT-TEXT
1616Question Number 2	Points: 0.00/5.00
1617Question Text
1618Which of the following is a zero of the function f(x) = 3x3 + 12x2 + 3x - 18.
1619Your Answer
1620A. -1
1621Question Number 3	Points: 0.00/5.00
1622Question Text
1623What is the 7th term of (3x + 2y)9?
1624Your Answer
1625B. 145,152x4y5
1626Question Number 4	Points: 5.00/5.00
1627Question Text
1628Which of the following is a zero of the function f(x) = x4 + 3x3 - 18x2 - 32x + 96.
1629Your Answer
1630A. -4
1631Question Number 5	Points: 5.00/5.00
1632Question Text
1633Multiply: . 
1634Your Answer
1635A. 
1636Question Number 6	Points: 5.00/5.00
1637Question Text
1638What is the degree of the monomial (-1/5)x? 
1639Your Answer
1640B. 1
1641Question Number 7	Points: 5.00/5.00
1642Question Text
1643What is the vertical shift for the graph of f(x) = (x + 5)3 - 7?
1644Your Answer
1645C. Down 7
1646Question Number 8	Points: 5.00/5.00
1647Question Text
1648Simplify . 
1649Your Answer
1650C. 
1651Question Number 9	Points: 5.00/5.00
1652Question Text
1653What is the horizontal shift for the graph of f(x) = (x + 5)3 - 7?
1654Your Answer
1655A. Left 5		
1656Question Number 10	Points: 5.00/5.00
1657Question Text
1658Simplify . 
1659Your Answer
1660C. 
1661Question Number 11	Points: 5.00/5.00
1662Question Text
1663What is the vertical shift for the graph of f(x) = (x - 3)3 + 2?
1664Your Answer
1665B. Up 2
1666Question Number 12	Points: 5.00/5.00
1667Question Text
1668Expand (2x - 3y)3.
1669Your Answer
1670D. 8x3 - 36x2y + 54xy2 - 27y3
1671Question Number 13	Points: 5.00/5.00
1672Question Text
1673P(x) = 3x2 - 7x + 11, find P(9).
1674Your Answer
1675C. 191
1676Question Number 14	Points: 5.00/5.00
1677Question Text
1678Multiply: (x + 2y)(5a + 2b). 
1679Your Answer
1680A. 5ax + 2bx + 10ay + 4by
1681Question Number 15	Points: 5.00/5.00
1682Question Text
1683Factor x3 + 5x2 - x - 5 completely.
1684Your Answer
1685D. (x + 5)(x + 1)(x - 1)
1686Question Number 16	Points: 5.00/5.00
1687Question Text
1688How many sign changes are in the polynomial f(x) = 3x3 + 7x2 - 9x + 1
1689Your Answer
1690C. 2
1691Question Number 17	Points: 5.00/5.00
1692Question Text
1693Expand (3 - x)5.
1694Your Answer
1695A. 243 - 405x + 270x2 - 90x3 + 15x4 - x5
1696Question Number 18	Points: 5.00/5.00
1697Question Text
1698Use the Factor Theorem to determine if (x + 4) is a factor of x3 + x2 - 16x - 16
1699Your Answer
1700A. Factor
1701Question Number 19	Points: 5.00/5.00
1702Question Text
1703Factor x4 - 5x2 + 4 completely.
1704Your Answer
1705C. (x + 1)(x - 1)(x + 2)(x - 2)
1706Question Number 20	Points: 5.00/5.00
1707Question Text
1708Use the Factor Theorem to determine if (x + 1) is a factor of x3 + x2 - 16x - 16
1709Your Answer
1710A. Factor
1711Question Number 21	Points: 5.00/5.00
1712Question Text
1713Which of the following is a zero of the function f(x) = x3 - 7x2 + 2x + 40.
1714Your Answer
1715D. 5
1716Question Number 22	Points: 5.00/5.00
1717Question Text
1718How many sign changes are in the polynomial f(x) = 3x3 - 7x2 - 9x + 1
1719Your Answer
1720C. 2
1721Question Number 23	Points: 5.00/5.00
1722Question Text
1723Which of the following is correct about the degrees and terms of the polynomial ? 
1724Your Answer
1725B. Binomial, degree 2
1726Question Number 24	Points: 5.00/5.00
1727Question Text
1728Simplify: 3xy – 3(4xy – 2x) + (2xy – 2x). 
1729Your Answer
1730D. –7xy + 4x
1731Question Number 25	Points: 5.00/5.00
1732Question Text
1733Factor x3 + 125 completely
1734Your Answer
1735C. (x + 5)(x2 - 5x + 25)
1736
1737Question Number 1	Points: 5.00/5.00
1738Question Text
1739Find the directrix of the parabola y = (1/8)(x – 5)2 - 3.
1740Your Answer
1741B. y = –5
1742Question Number 2	Points: 5.00/5.00
1743Question Text
1744Write the equation of a parabola with a vertex at (0, 0) and a directrix y = -1.
1745Your Answer
1746C. y equals one-fourth x squared
1747Question Number 3	Points: 5.00/5.00
1748Question Text
1749Write the equation of a parabola with a vertex at (0, 0) and a focus at (-4, 0).
1750Your Answer
1751A. x equals negative one-sixteenth y squared
1752Question Number 4	Points: 5.00/5.00
1753Question Text
1754Write the equation of a parabola with a vertex at (0, 0) and a focus at (0. -5).
1755Your Answer
1756B. y equals negative one-twentieth x squared
1757Question Number 5	Points: 5.00/5.00
1758Question Text
1759Find the vertex of the parabola x = –2(y– 3)2 - 2.
1760Your Answer
1761B. (–2, 3)
1762Question Number 6	Points: 5.00/5.00
1763Question Text
1764Find the focus of the parabola y = (1/8)(x – 5)2 - 3.
1765Your Answer
1766C. (5, –1)
1767Question Number 7	Points: 5.00/5.00
1768Question Text
1769What is the opening direction of the parabola with the equation x = –y2?
1770Your Answer
1771A. Left
1772Question Number 8	Points: 5.00/5.00
1773Question Text
1774Determine the opening direction of the parabola y = (–¼)x2.
1775Your Answer
1776D. Down
1777Question Number 9	Points: 5.00/5.00
1778Question Text
1779Find the equation for the parabola with vertex (0, 0) and directrix x = 1.
1780Your Answer
1781C. x = -(1/4)y2
1782Question Number 10	Points: 0.00/5.00
1783Question Text
1784What is the equation of a parabola with a vertex at (0, 0) and a directrix x = -4?
1785Your Answer
1786B. x equals negative one-sixteenth times y squared
1787
1788Question Number 1	Points: 5.00/5.00
1789Question Text
1790The equation of a circle is (x - 2)2 + (y + 4)2 = 4. Which diagram is the graph of the circle?
1791Your Answer
1792C. 
1793Question Number 2	Points: 5.00/5.00
1794Question Text
1795Write the equation of a circle with center at (7, 3) and a diameter of 24.
1796Your Answer
1797B. (x - 7)2 + (y – 3)2 = 144
1798Question Number 3	Points: 5.00/5.00
1799Question Text
1800Write the equation of a circle with center at (1, 2) and a diameter of 20.
1801Your Answer
1802C. (x - 1)2 + (y – 2)2 = 100
1803Question Number 4	Points: 5.00/5.00
1804Question Text
1805Write the equation of a circle with center at (0, 0) and a diameter of 20.
1806Your Answer
1807A. x2 + y2 = 100
1808Question Number 5	Points: 0.00/5.00
1809Question Text
1810Write the equation of a circle with center at (0, 0) and a radius of 5.
1811Your Answer
1812B. x2 + y2 = 5
1813Question Number 6	Points: 5.00/5.00
1814Question Text
1815Write the equation of a circle with center at (4, 1) and a radius of 6.
1816Your Answer
1817A. (x - 4)2 + (y – 1)2 = 36
1818Question Number 7	Points: 5.00/5.00
1819Question Text
1820Write the equation of a circle with center at (0, 8) and a radius of 9.
1821Your Answer
1822B. x2 + (y – 8)2 = 81
1823Question Number 8	Points: 5.00/5.00
1824Question Text
1825Write the equation of a circle with center at (-5, -7) and a radius of 3.8.
1826Your Answer
1827C. (x + 5)2 + (y + 7)2 = 14.44
1828Question Number 9	Points: 5.00/5.00
1829Question Text
1830Which graph represents a circle with the equation (x - 5)2 + (y + 1)2 = 9?
1831Your Answer
1832A. 
1833Question Number 10	Points: 5.00/5.00
1834Question Text
1835What are the center and the radius of the circle whose equation is (x - 3)2 + (y + 3)2 = 36?
1836Your Answer
1837A. center= (3,-3); radius = 6
1838
1839Question Number 1	Points: 5.00/5.00
1840Question Text
1841What is the length of the minor axis of the following graph?
1842ellipse through the points (5, 0), (0, 3), (negative 5, 0) and (0, negative 3)
1843Your Answer
1844A. 6
1845Question Number 2	Points: 5.00/5.00
1846Question Text
1847What is the length of the major axis of the following graph?
1848ellipse through the points (5, 0), (0, 3), (negative 5, 0) and (0, negative 3)
1849Your Answer
1850B. 10
1851Question Number 3	Points: 5.00/5.00
1852Question Text
1853What is the equation of the following graph?
1854ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)
1855Your Answer
1856D. x minus 2 squared divided by 9 plus y minus 2 squared divided by 4 equals 1
1857Question Number 4	Points: 5.00/5.00
1858Question Text
1859What are the foci of the following graph?
1860ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)
1861Your Answer
1862B. (2 -  , 2) and (2 +  , 2)
1863Question Number 5	Points: 5.00/5.00
1864Question Text
1865What is the equation of the following graph?
1866ellipse through the points (5, 0), (0, 3), (negative 5, 0) and (0, negative 3)
1867Your Answer
1868A. x squared divided by 25 plus y squared divided by 9 equals 1
1869Question Number 6	Points: 0.00/5.00
1870Question Text
1871What is the equation of the ellipse with foci at (5, 0), (-5, 0) and vertices (9, 0), (-9, 0)?
1872Your Answer
1873B. x squared divided by 81 minus y squared divided by 56 equals 1
1874Question Number 7	Points: 5.00/5.00
1875Question Text
1876What is the center of the following graph?
1877ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)
1878Your Answer
1879A. (2, 2)
1880Question Number 8	Points: 5.00/5.00
1881Question Text
1882What is the equation of the ellipse with foci (7, 0), (-7, 0) and co-vertices (0, 3), (0, -3)?
1883Your Answer
1884B. x squared divided by 58 plus y squared divided by 9 equals 1
1885Question Number 9	Points: 0.00/5.00
1886Question Text
1887What is the equation of the ellipse with co-vertices (0, 2), (0, -2) and vertices (3, 0), (-3, 0)?
1888Your Answer
1889B. x squared divided by 4 plus y squared divided by 9 equals 1
1890Question Number 10	Points: 0.00/5.00
1891Question Text
1892What is the equation of the ellipse with vertices at (-25, 0), (25, 0) and co-vertices (0, -15), (0, 15)?
1893Your Answer
1894C. x squared divided by 225 minus y squared divided by 625 equals 1
1895
1896Question Number 1	Points: 5.00/5.00
1897Question Text
1898What is the equation of the following graph?
1899hyperbola with center at (0, 0), opening up and down, vertical axis has length 6 and horizontal axis has length 10
1900Your Answer
1901A. y squared divided by 9 minus x squared divided by 25 equals 1
1902Question Number 2	Points: 5.00/5.00
1903Question Text
1904Given the hyperbola (x2/4) – (y2/9) = 1, find the equations for its asymptotes.
1905Your Answer
1906B. y = (3/2)x, y = (–3/2)x
1907Question Number 3	Points: 5.00/5.00
1908Question Text
1909What is the equation of the following graph?
1910hyperbola with center at (3, negative 5), opening left and right, vertical axis has length 4 and horizontal axis has length 4
1911Your Answer
1912A. x minus 3 quantity squared divided by 4 minus y plus 5 quantity squared divided by 4 equals 1
1913Question Number 4	Points: 5.00/5.00
1914Question Text
1915Which of the following is the sketch of  x2 – 25y2 = 25?
1916Your Answer
1917C. 
1918Question Number 5	Points: 5.00/5.00
1919Question Text
1920Given the hyperbola (y2/16) – (x2/9) = 1, find the equations for its asymptotes.
1921Your Answer
1922D. y = (4/3)x, y = (–4/3)x
1923Question Number 6	Points: 5.00/5.00
1924Question Text
1925Given the hyperbola (x2 /4) – (y2/9) =1, find the vertices.
1926Your Answer
1927A. (–2, 0), (2, 0)
1928Question Number 7	Points: 5.00/5.00
1929Question Text
1930Which of the following is the sketch of x2/9 – y2/4 = 1.
1931Your Answer
1932A. 
1933Question Number 8	Points: 5.00/5.00
1934Question Text
1935What is the equation of the following graph?
1936hyperbola with center at (1, negative 3), opening up and down, vertical axis has length 4 and horizontal axis has length 2 times the square root of 2
1937Your Answer
1938C. y plus 3 quantity squared divided by 4 minus x minus 1 quantity squared divided by 2 equals 1
1939Question Number 9	Points: 5.00/5.00
1940Question Text
1941Find the equation for the hyperbola with center at the origin, one vertex at (6, 0), and a focus at (10, 0).
1942Your Answer
1943B. (x2/36) – (y2/64) = 1
1944Question Number 10	Points: 5.00/5.00
1945Question Text
1946Given the hyperbola (y2/16) – (x2/9) = 1, find the vertices.
1947Your Answer
1948B. (0, –4), (0, 4)
1949
1950Question Number 1	Points: 5.00/5.00
1951Question Text
1952What does the equation x squared plus y squared equals 14 represent?
1953Your Answer
1954B. Circle
1955Question Number 2	Points: 5.00/5.00
1956Question Text
1957What does the equation x squared divided by 81 plus y squared divided by 1 equals 1 represent?
1958Your Answer
1959D. Ellipse
1960Question Number 3	Points: 5.00/5.00
1961Question Text
1962What does the equation y squared divided by 16 minus x squared divided by 9 equals 1 represent?
1963Your Answer
1964C. Hyperbola
1965Question Number 4	Points: 5.00/5.00
1966Question Text
1967What does the equation x equals negative one-twelfth times y squaredrepresent?
1968Your Answer
1969A. Parabola
1970Question Number 5	Points: 5.00/5.00
1971Question Text
1972What does the equation x2=25-y2 represent?
1973Your Answer
1974B. Circle
1975
1976Question Number 1	Points: 5.00/5.00
1977Question Text
1978Which of the following is the sketch of the parabola x = (–1/4)(y – 1)2 - 2?
1979Your Answer
1980D. 
1981Question Number 2	Points: 0.00/5.00
1982Question Text
1983Given the hyperbola [(x + 3)2/4] – [(y – 1)2/9] = 1, find the foci.
1984Your Answer
1985A. (1, 3), (–1, 3)
1986Question Number 3	Points: 5.00/5.00
1987Question Text
1988Find the vertex of the parabola x – 4y2 + 16y – 19 = 0.
1989Your Answer
1990A. (3, 2)
1991Question Number 4	Points: 5.00/5.00
1992Question Text
1993Find the vertex of the parabola y = 2x2.
1994Your Answer
1995D. (0, 0)
1996Question Number 5	Points: 5.00/5.00
1997Question Text
1998What is the center of the following graph?
1999hyperbola with center at (3, negative 5), opening left and right, vertical axis has length 4 and horizontal axis has length 4
2000Your Answer
2001B. (3, -5)
2002Question Number 6	Points: 5.00/5.00
2003Question Text
2004What is the equation of the parabola with a focus at (3, 0) and a directrix x = -3?
2005Your Answer
2006D. x equals one-twelfth times y squared
2007Question Number 7	Points: 5.00/5.00
2008Question Text
2009What is the center and radius of the following circle: x2 + (y – 6)2 = 50
2010Your Answer
2011D. C (0, 6), r = 7. 07
2012Question Number 8	Points: 5.00/5.00
2013Question Text
2014What does the equation y equals one-sixteenth times x squared represent?
2015Your Answer
2016A. Parabola
2017Question Number 9	Points: 0.00/5.00
2018Question Text
2019Write the equation of a circle with center at (10, 10) and a radius of 12.
2020Your Answer
2021B. (x - 10)2 - (y - 10)2 = 144
2022Question Number 10	Points: 5.00/5.00
2023Question Text
2024What does the equation y squared divided by 25 minus x squared divided by 9 equals 1 represent?
2025Your Answer
2026C. Hyperbola
2027Question Number 11	Points: 5.00/5.00
2028Question Text
2029Find the equation for the hyperbola with center at the origin, one vertex at (10, 0), and an equation of an asymptote of y = (-2/5)x.
2030Your Answer
2031A. (x2/100) – (y2/16) = 1
2032Question Number 12	Points: 5.00/5.00
2033Question Text
2034Write the equation of a circle with center at (-3, -4) and a radius of 3.
2035Your Answer
2036B. (x + 3)2 + (y + 4)2 = 9
2037Question Number 13	Points: 5.00/5.00
2038Question Text
2039What are the foci of the following graph?
2040ellipse through the points (5, 0), (0, 3), (negative 5, 0) and (0, negative 3)
2041Your Answer
2042C. (-4, 0) and (4, 0)
2043Question Number 14	Points: 5.00/5.00
2044Question Text
2045What are the vertices of the following graph?
2046ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)
2047Your Answer
2048B. (-1, 2) and (5, 2)
2049Question Number 15	Points: 5.00/5.00
2050Question Text
2051What are the co-vertices of the following graph?
2052ellipse through the points (5, 2), (2, 4), (negative 1, 2) and (2, 0)
2053Your Answer
2054A. (2, 4) and (2, 0)
2055Question Number 16	Points: 0.00/5.00
2056Question Text
2057What is the equation of the ellipse with foci (-10, 0), (10, 0) and co-vertices (0, -3), (0, 3)?
2058Your Answer
2059D. x squared divided by 100 minus y squared divided by 9 equals 1
2060Question Number 17	Points: 5.00/5.00
2061Question Text
2062Determine the opening direction of the parabola x = –2y2.
2063Your Answer
2064A. Left
2065Question Number 18	Points: 0.00/5.00
2066Question Text
2067What is the equation of the ellipse with co-vertices (-20, 0), (20, 0) and foci (0, -8), (0, 8)?
2068Your Answer
2069D. x squared divided by 400 minus y squared divided by 64 equals 1
2070Question Number 19	Points: 5.00/5.00
2071Question Text
2072What are the vertices of the following graph?
2073hyperbola with center at (0, 0), opening up and down, vertical axis has length 6 and horizontal axis has length 10
2074Your Answer
2075B. (0, -3) and (0, 3)
2076Question Number 20	Points: 0.00/5.00
2077Question Text
2078What are the vertices of the following graph?
2079hyperbola with center at (3, negative 5), opening left and right, vertical axis has length 4 and horizontal axis has length 4
2080Your Answer
2081A. (1, -5) and (-5, -5)
2082Question Number 21	Points: 0.00/5.00
2083Question Text
2084Given the hyperbola [(x + 3)2/4] – [(y – 1)2 /9] = 1, find the center.
2085Your Answer
2086B. (–1, 1)
2087Question Number 22	Points: 0.00/5.00
2088Question Text
2089What is the equation of the parabola with a directrix at y = -4 and focus (0, 4)?
2090Your Answer
2091B. y equals negative one-sixteenth times x squared
2092Question Number 23	Points: 0.00/5.00
2093Question Text
2094What is the center and radius of the following circle: (x – 5)2 + (y + 2)2 = 16
2095Your Answer
2096B. C (5, 2), r = 4
2097
2098Question Number 1	Points: 5.00/5.00
2099Question Text
2100Find the 20th term of the arithmetic sequence 7, 3, -1, -5, …
2101Your Answer
2102B. -69
2103Question Number 2	Points: 5.00/5.00
2104Question Text
2105Find S25 for 1/2 + 1 + 3/2 + 2 +...
2106Your Answer
2107D. 162.5
2108Question Number 3	Points: 0.00/5.00
2109Question Text
2110Find the first arithmetic mean between 100 and 135 given the following sequence: 
2111..., 100, ___, ___, ___, ___, 135, ...
2112Your Answer
2113C. 121
2114Question Number 4	Points: 5.00/5.00
2115Question Text
2116Find S10 for 2 + 5 + 8 +...
2117Your Answer
2118A. 155
2119Question Number 5	Points: 5.00/5.00
2120Question Text
2121Find S10 for (-1) + (-7) + (-13) + (-19) +...
2122Your Answer
2123B. -280
2124Question Number 6	Points: 5.00/5.00
2125Question Text
2126What are the next four terms in the following arithmetic sequence? (-7), (-2), 3, 8,...
2127Your Answer
2128B. 13, 18, 23, 28
2129Question Number 7	Points: 5.00/5.00
2130Question Text
2131Find the 11th term of the arithmetic sequence 7, 4.4, 1.8, -0.8, … 
2132Your Answer
2133B. -19
2134Question Number 8	Points: 5.00/5.00
2135Question Text
2136Find the first four terms of the given sequence tn = n/(n+1).
2137Your Answer
2138A. ½, 2/3, ¾, 4/5
2139Question Number 9	Points: 5.00/5.00
2140Question Text
2141What is the d value in the following arithmetic sequence? (-7), (-2), 3, 8,...
2142Your Answer
2143A. 5
2144Question Number 10	Points: 5.00/5.00
2145Question Text
2146Find the 26th term of the arithmetic sequence 16, 20, 24…
2147Your Answer
2148C. 116
2149Question Number 11	Points: 5.00/5.00
2150Question Text
2151Find the four arithmetic means between (-21) and (-36).
2152Your Answer
2153D. (-24), (-27), (-30), (-33)
2154Question Number 12	Points: 5.00/5.00
2155Question Text
2156Find S25 for (-7) + (-2) + 3 + 8 +...
2157Your Answer
2158B. 1,325
2159Question Number 13	Points: 5.00/5.00
2160Question Text
2161What is the 20th term in the following arithmetic sequence? 1/2, 1, 3/2, 2,...
2162Your Answer
2163B. 10
2164Question Number 14	Points: 5.00/5.00
2165Question Text
2166Find the three arithmetic means between 5 and 17.
2167Your Answer
2168B. 8, 11, 14
2169Question Number 15	Points: 5.00/5.00
2170Question Text
2171What is the 25th term in the following arithmetic sequence? (-7), (-2), 3, 8,...
2172Your Answer
2173C. 113
2174
2175Question Number 1	Points: 5.00/5.00
2176Question Text
2177Find the 10th term of the sequence whose nth term is given by the formula tn = (-1)n+1/n.
2178Your Answer
2179A. -1/10
2180Question Number 2	Points: 5.00/5.00
2181Question Text
2182Quin makes $500 plus 2.5% commission each month at a clothing store. Brittany works at a different clothing store making $400 plus 3.0% commission each month. Use the graphs to compare their earnings.
2183
2184
2185Your Answer
2186B. Quin earns more initially, but as the amount of sales increases, Brittany's earnings surpass Quin's.
2187Question Number 3	Points: 0.00/5.00
2188Question Text
2189Which of the following is not a geometric sequence? 
2190Your Answer
2191C. ½, ¼, 1/8, 1/16
2192Question Number 4	Points: 5.00/5.00
2193Question Text
2194Steven wants to open a savings account with $750. He is looking at 2 different accounts. The first account will earn 7% interest monthly. The second account will earn 9% interest monthly. Use the graphs to compare the amounts for each savings account.
2195
2196Your Answer
2197D. Steven will earn more in the account with 9% interest, and as time increases, the amount will become increasingly more.
2198Question Number 5	Points: 5.00/5.00
2199Question Text
2200Find the sum of the first 5 terms of the geometric series -2, -6, -18, …
2201Your Answer
2202A. -242
2203Question Number 6	Points: 5.00/5.00
2204Question Text
2205What is the common ratio of the following geometric sequence? 5, 15, 45...
2206Your Answer
2207A. 3
2208Question Number 7	Points: 5.00/5.00
2209Question Text
2210Find S11 for 1 + 2 + 4 + 8 +...
2211Your Answer
2212D. 2,047
2213Question Number 8	Points: 5.00/5.00
2214Question Text
2215Find the 7th term of the sequence whose nth term is given by the formula tn = n(n + 2).
2216Your Answer
2217D. 63
2218Question Number 9	Points: 5.00/5.00
2219Question Text
2220Find the sum of the terms of the infinite geometric series: 4 + 0.4 + 0.04 + ...
2221Your Answer
2222C. 40/9
2223Question Number 10	Points: 0.00/5.00
2224Question Text
2225Find the sum of the following infinite geometric series if it exists. (2/5) + (12/25) + (72/125) +...
2226Your Answer
2227D. 6/5
2228Question Number 11	Points: 5.00/5.00
2229Question Text
2230A ball that dropped from a height of 729 cm rebounds on each bounce one-third of the distance from which it fell. How high does it go on the 7th rebound?
2231Your Answer
2232A. 0.33 cm
2233Question Number 12	Points: 5.00/5.00
2234Question Text
2235Find S15 for 1 + 1.5 + 2.25 + 3.375 +...
2236Your Answer
2237D. 873.79
2238Question Number 13	Points: 5.00/5.00
2239Question Text
2240Eric is looking at getting a credit card. The limit on the first card is $1,000, and it earns 15% interest each month. The second card has a $1,500 limit and earns 10% interest monthly. Use the graphs to compare each card's balance if it is at its limit and no payments are being made.
2241
2242Your Answer
2243C. The second card with $1,500 limit and 10% interest has the higher initial balance, and as time increases, each account's balance will become approximately equal to each other.
2244Question Number 14	Points: 5.00/5.00
2245Question Text
2246Find the sum of the following infinite geometric series if it exists. 1/2 + (-1/4) + 1/8 + (-1/16) +...
2247Your Answer
2248A. 1/3
2249Question Number 15	Points: 5.00/5.00
2250Question Text
2251What are the next four terms in the following geometric sequence? 5, 15, 45...
2252Your Answer
2253B. 135; 405; 1,215; 3,645
2254
2255Question Number 1	Points: 0.00/10.00
2256Question Text
2257Using the information collected on the exploration guide for the Arithmetic Sequences and Series Gizmo, write a sentence that describes the effect on the graph of varying the value of a1, using words such as horizontal or vertical and translation or transformation.
2258Your Answer
2259n our function a represents vertical stretch or compression transformation we are multiplying a number (a) to the function.
2260Teacher Remarks 
2261******* January 4, 2017 Hi Brayden, This is true for a function, but not for the graph of an arithmetic sequence. Be sure to adjust the a1 values in the gizmo to see the affect it has on the graph of the sequence. If you would like to improve your grade, please contact me or any math teacher in chat using the Talk to Teacher button in the upper right corner of your screen or give us a call at (866) 235-3276. Total 0pts/10pts Sincerely, Mrs. Austin
2262Question Number 2	Points: 10.00/10.00
2263Question Text
2264Using the information collected on the exploration guide for the Arithmetic Sequences and Series Gizmo, write a sentence describing how the slope of the line passing through the points is effected by changing the value of d.
2265Your Answer
2266The slope of the line is affected by changing the value of d, the common difference effects how it is graphed either making a positive slope depending on if the common difference is positive or negative.
2267Question Number 3	Points: 10.00/10.00
2268Question Text
2269Using the information collected on the exploration guide for the Arithmetic Sequences and Series Gizmo, describe the connection between the values in the table and the terms in the sequence. Describe the connection between the terms in the sequence and the points on the graph.
2270Your Answer
2271with a sequence like 5, 10, 15, 20, In table form, you will put 1, 2, 3, 4 for the term number. Then the value will follow
2272n | a(n)
22731 | 5
22742 | 10
22753 | 15
22764 | 20 
2277When this table is turned into a graph, you think of these like coordinates. The horizontal axis will be the values 1, 2, 3, 4... and the vertical axis will be the values of the sequence (5, 10, 15, 20)
2278Question Number 4	Points: 0.00/10.00
2279Question Text
2280Using the information collected on the exploration guide for the Arithmetic Sequences and Series Gizmo, explain why a recursive rule alone does not define only one sequence.
2281Your Answer
2282The recursive rule does not define only one sequence because it effects the proceding terms in a sequence.
2283Teacher Remarks 
2284******* January 4, 2017 Hi Brayden, This doesn't explain why a specific recursive rule can define multiple sequences. For example, the sequences -2, 3, 8, 13... and 4, 9, 14, 19... both have the recursive rule of +5. Why are they different? If you would like to improve your grade, please contact me or any math teacher in chat using the Talk to Teacher button in the upper right corner of your screen or give us a call at (866) 235-3276. Total 0pts/10pts Sincerely, Mrs. Austin
2285Question Number 5	Points: 10.00/10.00
2286Question Text
2287Given the arithmetic sequence 3, 7, 11, 15, …, what is a1, the first term? What is d, the common difference? Find the 151st term of this sequence. What formula did you use? Be sure to show your work.
2288Your Answer
2289A1 is 3.
2290D value is7-3=4
2291To find the 151st value you use
2292An=a1+(n-p)d
2293A151=3+(151-1)x4
2294A151=3+150x4
2295A151=3+600
2296A151=603
2297Question Number 6	Points: 10.00/10.00
2298Question Text
2299Using the information collected on the exploration guide for the Geometric Sequences and Series Gizmo, is the pattern of points formed by the graph of the geometric sequence linear? If not, how would you describe it?
2300Your Answer
2301A geometric sequence is not a line. It curves upward at a steeper and steeper slope.
2302Question Number 7	Points: 5.00/10.00
2303Question Text
2304Use the Geometric Sequences and Series Gizmo to answer the following question. The points in the graph of a sequence are called (n, an) instead of (x, y). For each point, what do n and an mean?
2305Your Answer
2306"n" is a variable representing the number of the term to find. a-n is the number of terms .
2307Teacher Remarks 
2308******* January 4, 2017 Hi Brayden, The "n" is the number of the term to find, but a(n) is not the number of terms. Look at the table or graph to determine what a(n) represents. If you would like to improve your grade, please contact me or any math teacher in chat using the Talk to Teacher button in the upper right corner of your screen or give us a call at (866) 235-3276. Total 5pts/10pts Sincerely, Mrs. Austin
2309Question Number 8	Points: 5.00/10.00
2310Question Text
2311Using the Geometric Sequences and Series Gizmo, click on the Controls tab and vary r by moving the r slider to the left. Notice the pattern on the graph. Explain what happens when r is negative. Also, explain why you think this happens.
2312Your Answer
2313Two different sloped sections are plotted rather than just one positive one. i personally believe this is to measure the lose and the gain from the graph.
2314Teacher Remarks 
2315******* January 4, 2017 Hi Brayden, There will be two sections, one positive and one negative. To explain why a negative r-value causes this pattern, think of the fact that a geometric sequence is exponential, with the r-value being the base. Look at what happens to the result when the base is negative and it is raised to even powers and odd powers. If you would like to improve your grade, please contact me or any math teacher in chat using the Talk to Teacher button in the upper right corner of your screen or give us a call at (866) 235-3276. Total 5pts/10pts Sincerely, Mrs. Austin
2316Question Number 9	Points: 10.00/10.00
2317Question Text
2318Using the information collected on the exploration guide for the Geometric Sequences and Series Gizmo, which formula, recursive or explicit, is better for finding terms that are later in the sequence, like a20? Explain your reasoning.
2319Your Answer
2320an explicit formula is better cause you can just plug in your n and get the value of the term where as with the recursive you have to get each term and go to the next..having to make it all the way to 19t just to get twentyth.
2321Question Number 10	Points: 10.00/10.00
2322Question Text
2323Given the geometric sequence 3, 6, 12, 24, …, what is a1, the first term? What is r, the common ratio? Find the 8th term of this sequence. What formula did you use? Be sure to show your work.
2324Your Answer
2325a1 = 3 , to get from 3-6-12-24 we multiply the previous term to get the next. .....either repeat this eight time from three or input it like this..r=2,a_n=2^{n-1} . 3 the 8th term being 384
2326
2327Question Number 1	Points: 5.00/5.00
2328Question Text
2329Find a formula for tn so that the first four terms are 15, 25, 35, 45.
2330Your Answer
2331C. tn = 10n + 5
2332Question Number 2	Points: 5.00/5.00
2333Question Text
2334Find the common difference, d, for the arithmetic sequence -4, -2, 0, 2, …
2335Your Answer
2336B. 2
2337Question Number 3	Points: 5.00/5.00
2338Question Text
2339Find the sum of the first 50 counting numbers.
2340Your Answer
2341C. 1,275
2342Question Number 4	Points: 5.00/5.00
2343Question Text
2344Find the sixth term of a geometric sequence with t5 = 24 and t8 = 3.
2345Your Answer
2346D. 12
2347Question Number 5	Points: 5.00/5.00
2348Question Text
2349Which term is -401 in the arithmetic sequence -5, -9, -13…?
2350Your Answer
2351B. 100th
2352Question Number 6	Points: 5.00/5.00
2353Question Text
2354Pencils are stacked as the arithmetic sequence with 1 at the top, 120 at the bottom. Find the total number of pencils in the stack.
2355Your Answer
2356C. 7,260
2357Question Number 7	Points: 5.00/5.00
2358Question Text
2359Find the sum of the first 5 terms of the geometric series 7, 21, 63, …
2360Your Answer
2361C. 847
2362Question Number 8	Points: 5.00/5.00
2363Question Text
2364Find the common difference, d, for the arithmetic sequence 35, 22, 9, -4, …
2365Your Answer
2366A. -13
2367Question Number 9	Points: 0.00/5.00
2368Question Text
2369Find the first four terms of the given sequence tn = (-1)n(n).
2370Your Answer
2371C. 1, ½, 2/3, ¾
2372Question Number 10	Points: 5.00/5.00
2373Question Text
2374Find the four arithmetic means between 40 and 10.
2375Your Answer
2376C. 34, 28, 22, 16
2377Question Number 11	Points: 5.00/5.00
2378Question Text
2379Write the formula for finding the nth term of the geometric series 4, 2, 1, …
2380Your Answer
2381A. tn=4(12)n-1
2382Question Number 12	Points: 5.00/5.00
2383Question Text
2384Find the three arithmetic means between -5 and -25.
2385Your Answer
2386A. -10, -15, -20
2387Question Number 13	Points: 5.00/5.00
2388Question Text
2389Given the arithmetic sequence with t1= 76 and t3 = 70, find t101.
2390Your Answer
2391D. -224
2392Question Number 14	Points: 0.00/5.00
2393Question Text
2394Find the four arithmetic means between 3 and 28.
2395Your Answer
2396B. 8, 14, 18, 24
2397Question Number 15	Points: 5.00/5.00
2398Question Text
2399Jeannette's starting salary is $25,000 a year. She will get a 4% raise annually. How much money will she have made after 7 years?
2400Your Answer
2401B. $197,457.36
2402Question Number 16	Points: 0.00/5.00
2403Question Text
2404Given t1 = -23, n = 25, and tn = 57, find the sum of the arithmetic series.
2405Your Answer
2406C. 325
2407Question Number 17	Points: 5.00/5.00
2408Question Text
2409Find the 83rd term of the arithmetic sequence 6, 6.5, 7, ... 
2410Your Answer
2411C. 47
2412Question Number 18	Points: 5.00/5.00
2413Question Text
2414Given the arithmetic sequence with a3 = 8 and a5 = 14, find a50.
2415Your Answer
2416D. 149
2417Question Number 19	Points: 5.00/5.00
2418Question Text
2419Which of the following is not a geometric sequence? 
2420Your Answer
2421B. 3, 1, -1,-3
2422Question Number 20	Points: 5.00/5.00
2423Question Text
2424What is the common ratio of the following geometric sequence? 5, 15, 45...
2425Your Answer
2426A. 3
2427Question Number 21	Points: 5.00/5.00
2428Question Text
2429List the next four terms of a geometric sequence with t1 = 4 and tn = -3tn-1.
2430Your Answer
2431C. -12, 36, -108, 324
2432Question Number 22	Points: 5.00/5.00
2433Question Text
2434What are the next four terms in the following geometric sequence? 5, 15, 45...
2435Your Answer
2436B. 135; 405; 1,215; 3,645
2437Question Number 23	Points: 0.00/5.00
2438Question Text
2439There are three geometric means between 1/2 and 8.  Find the third mean.
2440Your Answer
2441C. 6
2442Question Number 24	Points: 5.00/5.00
2443Question Text
2444Find the sum of the first 7 terms of the geometric series -3, 6, -12, …
2445Your Answer
2446B. -129
2447Question Number 25	Points: 0.00/5.00
2448Question Text
2449Assume there are three geometric means between 2 and 162. Find the first geometric mean.
2450Your Answer
2451B. 6