1.   Which of the following is the correct matrix representation of the October Inventory of small and large t-shirts and pants? Inventory for August Inventory for September Inventory for October Small Large Small Large Small Large T-Shirts 2 3 4 6 7 8 Pants 1 4 3 5 5 6 Answer 1.   If   find -2A. Answer 1.   If   and    find A - B. Answer 1.   If     find 2A. Answer 1.   Matrix A has dimensions 2 x 3. Matrix B has dimensions 3 x 6. These two matrices can be multiplied to find the product AB. Answer True  False 1.   Evaluate    Answer Does not exist. 1.   Evaluate    Answer Does not exist 1.   Evaluate    Answer Does not exist. 1.   Find the determinant of    Answer 14 -14 1 -1 1.   Find the determinant of    Answer -48 -56 56 48 1.   What is the determinant of the following matrix? Answer -10 -14 -20 -25 1.   What is the determinant of the following matrix?  Does the matrix have an inverse? Answer 5; no 5; yes 1; no 1; yes 1.   Is the following system consistent or inconsistent? 8x + y + 4 = 0 y = -8x - 4  Answer consistent inconsistent 1.   Is the following system consistent or inconsistent? 7x + 6 = -2y -14x -4y + 2 = 0  Answer consistent inconsistent 1.   Is the following system consistent or inconsistent? -2x - 2y = 6 10x + 10y = -30  Answer consistent inconsistent 1.   Is the following system consistent or inconsistent? 2y = x - 7 -2x - 6y = -14  Answer consistent inconsistent 1.   Is the following system consistent or inconsistent? y = 2x + 5 -2x + y = -2  Answer consistent inconsistent If a system has exactly one solution it is called _______________. Answer consistent inconsistent independent dependent 1.   Does the following system of equations have a solution?    Answer Yes No 1.   What is the approximate solution of the following system of equations?    Answer (2, -7) (-7, 2) (7, 2) (-7, -2) 1.   Solve the following system of equations by using the substitution method. 3y – 2x = 11 y + 2x = 9 Answer (2, 5) (-2, -5) (4, 5) Inconsistent 1.   Solve the following system of equations by using the substitution method. y = -3x + 5 5x – 4y = -3 Answer (-1, -2) (2, 1) (3, 4) (1, 2) 1.   Solve the following system of equations by using the elimination method. x – y = 11 2x + y = 19 Answer (1, 10) (-1, -1) (12, 2) (10, -1) 1.   Solve the following system of equations by using the elimination method.  -4x – 2y = -12 4x + 8y = -24 Answer (5, 3) (-6, -6) (3, 1) (6, -6) 1.   Solve the following system of equations using matrices. 3x – 2y = 31 3x + 2y = -1 Answer (5, -8) (3, 5) (-3, 9) (2, 8) 1.   Solve the following system of equations using matrices. 4x + 5y = -7 3x – 6y = 24 Answer (1, 4) (2, -3) (5, 6) (3, 4) 1.   The sum of two numbers is 7. Four times the first number is one more than 5 times the second. Find the two numbe ...

1. 1.
Which of the following is the correct matrix representation of
the October Inventory of small and large t-shirts and pants?
Inventory for August
Inventory for September
Inventory for October
Small
Large
Small
Large
Small
Large
T-Shirts
2
3
4
6
7
8
Pants
1
4
3
5
5
6
Answer

2. 1.
If find -2A.
Answer
1.
If and find A - B.
Answer

3. 1.
If find 2A.
Answer
1.
Matrix A has dimensions 2 x 3. Matrix B has dimensions 3 x 6.
These two matrices can be multiplied to find the product AB.
Answer True False
1.
Evaluate
Answer

4. Does not exist.
1.
Evaluate
Answer
Does not exist
1.
Evaluate
Answer
Does not exist.

5. 1.
Find the determinant of
Answer
14
-14
1
-1
1.
Find the determinant of
Answer
-48
-56
56
48
1.
What is the determinant of the following matrix?

6. Answer
-10
-14
-20
-25
1.
What is the determinant of the following matrix? Does the
matrix have an inverse?
Answer
5; no
5; yes
1; no
1; yes
1.
Is the following system consistent or inconsistent?
8x + y + 4 = 0
y = -8x - 4

7. Answer
consistent
inconsistent
1.
Is the following system consistent or inconsistent?
7x + 6 = -2y
-14x -4y + 2 = 0
Answer
consistent
inconsistent
1.
Is the following system consistent or inconsistent?
-2x - 2y = 6
10x + 10y = -30
Answer
consistent
inconsistent
1.
Is the following system consistent or inconsistent?
2y = x - 7
-2x - 6y = -14
Answer

8. consistent
inconsistent
1.
Is the following system consistent or inconsistent?
y = 2x + 5
-2x + y = -2
Answer
consistent
inconsistent
If a system has exactly one solution it is called
_______________.
Answer
consistent
inconsistent
independent
dependent
1.
Does the following system of equations have a solution?

9. Answer
Yes
No
1.
What is the approximate solution of the following system of
equations?
Answer
(2, -7)
(-7, 2)
(7, 2)
(-7, -2)
1.
Solve the following system of equations by using the
substitution method.
3y – 2x = 11
y + 2x = 9
Answer
(2, 5)

10. (-2, -5)
(4, 5)
Inconsistent
1.
Solve the following system of equations by using the
substitution method.
y = -3x + 5
5x – 4y = -3
Answer
(-1, -2)
(2, 1)
(3, 4)
(1, 2)
1.
Solve the following system of equations by using the
elimination method.
x – y = 11
2x + y = 19
Answer
(1, 10)

11. (-1, -1)
(12, 2)
(10, -1)
1.
Solve the following system of equations by using the
elimination method.
-4x – 2y = -12
4x + 8y = -24
Answer
(5, 3)
(-6, -6)
(3, 1)
(6, -6)
1.
Solve the following system of equations using matrices.
3x – 2y = 31
3x + 2y = -1
Answer
(5, -8)

12. (3, 5)
(-3, 9)
(2, 8)
1.
Solve the following system of equations using matrices.
4x + 5y = -7
3x – 6y = 24
Answer
(1, 4)
(2, -3)
(5, 6)
(3, 4)
1.
The sum of two numbers is 7. Four times the first number is one
more than 5 times the second. Find the two numbers.
Answer
2 and 1
4 and 3

13. 5 and 7
2 and 3
1.
Which of the following is a solution to the following system of
inequalities?
Answer
(2, 2)
(0, 1)
(-1, 0)
(4, -4)
1.
Which of the following is a solution to the following system of
inequalities?
Answer
(1, 1)
(-4, 0)

14. (3, 2)
(5, 0)
1.
One possible solution of this system of inequalities is (1, 4).
Answer
TRUE
FALSE
1.
What is the system of equations that describes the following
graph?
Answer
x + 3y > 4;
3x – y > 2
x + 3y < 4;
3x – y > 2
x + 3y < 4;
3x – y < 2

15. x + 3y = 4;
3x – y ≥ 2
1.
What is the system of equations that describes the following
graph?
Answer
x + y < 3;
x – y > -2;
y ≥ 0
x + y > 3;
x – y < -2;
x ≥ 0
x + y < 3;
x – y > -2;
y ≤ 0
x + y < 3;
x – y > -2;
x ≥ 0

16. 1.
What is the system of equations that describes the following
graph?
Answer
x + y < 3;
x – y ≥ 2
2x + 3y ≥ 1;
x – y ≥ 2
2x – y ≥ 13;
x + y = 2
x + y ≥ 32;
x – y = 2
1.
What is the system of equations that describes the following
graph?
Answer
y ≥ 0;
x ≤ 3
x > 0;
y < 3

17. x ≥ 0;
y ≤ 3
x ≤ 0;
y ≥ 3
1.
What is the system of equations that describes the following
graph?
Answer
x + 2y ≥ 4;
x ≥ 2
x + 2y ≥ 4;
y ≥ 2
x + 2y > 4;
y > 2
x + 2y > 4;
x > 2
1.
What is the system of equations that describes the following
graph?
Answer

18. x + y ≤ 1;
x – y ≥ 4
x + y > 1;
x – y ≥ 4
x + y ≤ 1;
x – y < 4
x + y ≤ 1;
x – y > 4
1.
What is the system of equations that describes the following
graph?
Answer
x > 2;
x ≥ -5;
y ≤ 6;
y > -1
x ≤ 2;

19. x < -5;
y > 6;
y ≥ -1
x ≤ 2;
x ≥ -5;
y ≤ 6;
y ≥ -1
x ≤ 2;
x ≥ -5;
y ≤ 6;
y ≤ -1
1.
Solve 3x – y + 2z = 6
-x + y = 2
x – 2z = -5
Answer
(-1, -3, -3)
(1, 3, 3)
(1, -3, -3)
(1, 3, -3)
1.

20. Solve x + y = 9
y + z = 7
x – z = 2
Answer
Infinite number of solutions
no solutions
(9, 7, 2)
(3, 6, 1)
1.
Solve x + 3y + z = 1
2x – y – z = 6
5x + y + z = 1
Answer
(1, 6, 1)
(1, 2, -6)
(2, 1, -4)
(-1, -2, 6)
1.
Solve 4x + y – 2z = 0
2x – 3y + 3z = 9

21. -6x – 2y + z = 0
Answer
(0, 9, 0)
(0, -9, 0)
1.
Solve x – 2y – 3z = 3
3x + y + z = 12
3x – 2y – 4z = 15
Answer
(0, 0, -1)
(3, 12, 15)
(3, 9, -6)
(-3, -9, 6)
1.
Solve 4x + y + z = 1
8x – 4y – 7z = 2
5y – 9z = 3
Answer

22. 1.
Solve x + 3y + 4z = 0
x – 2z = 8
y + z = 3
Answer
1.
In her wallet, Ms. Thompson has one-dollar, five-dollar, and
ten-dollar bills, totally $171. She has the same number of five-
dollar bills as one-dollar and ten-dollar bills put together. If she
has 30 bills in all, how many bills of each denomination does
she have?
Answer

23. 11 one-dollar bills, 10 five-dollar bills, 9 ten-dollar bills
6 one-dollar bills, 17 five-dollar bills, 8 ten-dollar bills
11 one-dollar bills, 16 five-dollar bills, 8 ten-dollar bills
6 one-dollar bills, 15 five-dollar bills, 9 ten-dollar bills
1.
Twice the first number is eleven more than the sum of the other
two numbers. The sum of twice the first number and three times
the third number is one more than the second number. The
second number is equal to the sum of the first number and the
third number. Find the three numbers.
Answer
1st number = -6, 2nd number = 3.5, 3rd number = 2.5
1st number = 8, 2nd number = 4, 3rd number = 1
1st number = -8, 2nd number = -4, 3rd number = -1
1st number = 6, 2nd number = 3.5, 3rd number = -2.5
1.
What is the correct matrix for the inventory of boots in sizes 10
and 12.

24. Boots
Flats
Sneakers
Blue
Gray
Blue
Gray
Blue
Gray
Shoes Size 10
3
5
9
10
1
4
Shoes Size 12
2
0
2
7
4
0
Answer

25. 1.
Evaluate
Answer
1.
Evaluate
Answer
1.
Matrix A has dimensions 3 x 2. Matrix B has dimensions 3 x 2.

26. A x B will have dimensions 3 x 2.
Answer
TRUE
FALSE
1.
Evaluate
Answer
1.
Evaluate
Answer

27. 1.
Find the determinant of
Answer
0
6
-10
-5
1.
Find the determinant of
Answer
0
20
-10
-20

28. 1.
The following system of equations is consistent.
Answer
TRUE
FALSE
The following system of equations has a solution.
Answer True False
1.
What is the solution to this system of equations?
Answer
(-4, 4)
(4, -4)
(2, 4)
(4, 2)
1.

29. Solve y = 2x - 4 by the substitution method.
7x – 5y = 14
Answer
1.
Solve 4x + 3y = 13 by the substitution method.
x + y = 4
Answer
1.
Solve 9x + 2y = 2 by the elimination methods.
21x + 6y = 4
Answer
1.
Solve –x + 2y = 12 using the elimination method.
x + 6y = 20
Answer

30. 1.
Solve 2x + y = 3 using matrices.
3x – 2y = 8
Answer
(2, 1)
(1, 1)
(4, -5)
(2, -1)
1.
Solve 3x – 7y = 25 using matrices.
5x – 8y = 27
Answer
(25, 27)
(27, 25)
(-1, -4)
(4, 1)
1.
The degree measure of one of two complementary angles is 30
less than twice that of the other. What are the degree measures

31. of the angles? (Remember that complimentary angles add to be
90 degrees)
Answer
45 degrees and 45 degrees
30 degrees and 60 degrees
27 degrees and 63 degrees
40 degrees and 50 degrees
1.
Which of the following is NOT a solution to the system of
inequalities?
Answer
(2, -2)
(2, 0)
(1, 0)
(4, -1)
1.
What is the system of inequalities associated with the following

32. graph?
Answer
y > -2
x + y ≥ 1
y < -2
x + y > 1
y < -2
x + y ≥ 1
y < -2
x + y < 1
1.
Solve 3x – y + 2z = 9 using matrices.
x – 2y – 3z = -1
2x – 3y + z = 10
Answer
(9, -1, 10)
(1, 2, 2)
(1, 2, -2)

33. (1, -2, 2)
Solve 3x – 2y + z = -5 using matrices.
-2x + 3y – 3z = 12
3x – 2y – 2z = 4
Answer
(1, 0, -3)
(1, -3, 0)
(0, 1, -3)
(0, -3, 1)
1.
Joe has a total of 14 pennies, dimes and quarters in his pocket,
which total $1.52. The number of dimes and quarters combined
is equal to the number of pennies. How many of each coin does
Joe have?
Answer
7 pennies, 5 dimes, 2 quarters
7 pennies, 2 dimes, 5 quarters
5 pennies, 7 dimes, 2 quarters
2 pennies, 7 dimes, 5 quarters

34. 1.
Evaluate
Answer
1.
Evaluate
Answer
1.
If matrix A has dimensions 3 x 2 and matrix B has dimensions 3
x 2, can matrix A and matrix B be multiplied?
Answer
yes
no
1.
If matrix A has dimensions 2 x 5 and matrix B has dimensions 5
x 5, can matrix A and matrix B be multiplied?
Answer
yes
no
Evaluate
Answer
1.

35. Evaluate
Answer
1.
Find the determinant of
Answer
1.
Find the determinant of
Answer
1.
Solve y – 3x = 5 by the substitution method.
y + x = 3
Answer
1.
Solve 3x – 5y = 15 by the substitution method.
y = 2x + 4
Answer
1.
Solve 3x – 2y = 1 using the elimination method.
4y = 6x – 2
Answer
1.
Solve x – 3y = -17 using the elimination method.
-x + 8y = 52
Answer
1.
Solve 4x + 5y = 40 using matrices.
x – y = 1
Answer

36. 1.
Solve 5x – 6y = 50 using matrices.
-x + 5y = -48
Answer
1.
Find the value of two numbers if their sum is 12 and their
difference is 4.
Answer
1.
What is the system of inequalities associated with the following
graph?
Answer
x – y ≥ -3
5x – y ≤ -3
x – y ≥ -3
5x + y ≤ -3
x – y ≥ 3
5x – y ≤ 3
x + y ≥ -3
5x – y ≤ -3
1.

37. What is the system of inequalities associated with the following
graph?
Answer
3x + y ≥ -3
x + 2y ≤ 4
-3x – y ≥ -3
x + 2y ≤ 4
3x + y ≥ -3
x – 2y ≥ 4
3x – y ≤ 3
x – 2y ≥ 4
Solve x – 3y + z = 10 using matrices.
x + y – 3z = -10
-3x – y + z = 2
Answer
1.
Which matrix represents the image of the triangle with vertices
at (-2, 0), (1, 5), and (4, -8) when reflected over the line, y = -
x?
Answer