| |
| |
1. |
Name the multiplicative inverse of 5. |
| |
|
A. |
50 |
B. |
-5 |
| |
|
C. |
20 |
D. |
0.2 |
| |
|
Hint |
|
| |
2. |
Which is the standard form of a linear equation? |
| |
|
A. |
3x2 + y = 5 |
B. |
 |
| |
|
C. |
4x - 9y = 1 |
D. |
y = 2x - 3 |
| |
|
Hint |
|
| |
3. |
Find the slope-intercept form of an equation of the line that has a slope of and passes through (8,2). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
The scatter plot below shows the women's winning marathon times and the high temperatures on the marathon days. Which prediction equation best shows how marathon times and temperature are related? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Solve the system of equations by using the elimination method. 

|
| |
|
A. |
(4, 2) |
B. |
(2, 3) |
| |
|
C. |
(34, -13) |
D. |
(12, -2) |
| |
|
Hint |
|
| |
6. |
Use Cramer's rule to solve the system of equations. 

|
| |
|
A. |
(-0.4, -0.2) |
B. |
(0.2, 0.4) |
| |
|
C. |
(0.4, 0.2) |
D. |
(0.011, 0.0055) |
| |
|
Hint |
|
| |
7. |
Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region. |
| |
|
 |
| |
|
A. |
-28 |
B. |
14 |
| |
|
C. |
-14 |
D. |
27 |
| |
|
Hint |
|
| |
8. |
Solve . |
| |
|
A. |
(-2, -8) |
B. |
 |
| |
|
C. |
 |
D. |
(2, 8) |
| |
|
Hint |
|
| |
9. |
Find the dimensions of A6 × 3 · B3 × 1. |
| |
|
A. |
3 × 3 |
B. |
3 × 1 |
| |
|
C. |
6 × 1 |
D. |
6 × 3 |
| |
|
Hint |
|
| |
10. |
Does the inverse of exist? If it does not exist, explain why not. |
| |
|
A. |
Yes |
| |
|
B. |
No; the elements of the principal diagonal are not 1. |
| |
|
C. |
No; the determinant equals 0. |
| |
|
D. |
No; the matrix is not square. |
| |
|
Hint |
|
| |
11. |
Solve using inverse matrices. |
| |
|
A. |
(-4, 4) |
B. |
(4, -4) |
| |
|
C. |
(4, 4) |
D. |
(-4, 0) |
| |
|
Hint |
|
| |
12. |
Name the property illustrated by the equation 5 ·? (-2 – 7) = 5 ·? -2 – 5 ·? 7. |
| |
|
A. |
Inverse Property |
B. |
Distributive Property |
| |
|
C. |
Associative Property |
D. |
Commutative Property |
| |
|
Hint |
|
| |
13. |
What is the slope of the line with equation  |
| |
|
A. |
-7 |
B. |
 |
| |
|
C. |
7 |
D. |
 |
| |
|
Hint |
|
| |
14. |
What type of function is shown in the graph? |
| |
|
 |
| |
|
A. |
piecewise function |
B. |
absolute value function |
| |
|
C. |
step function |
D. |
constant function |
| |
|
Hint |
|
| |
15. |
What is the inequality represented in the graph? |
| |
|
 |
| |
|
A. |
x + 2y 4 |
B. |
x + 2y 4 |
| |
|
C. |
x + 2y > 4 |
D. |
x + 2y > 4 |
| |
|
Hint |
|
| |
16. |
What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5? |
| |
|
A. |
(2, 2, –2) |
B. |
(2, 2, 1) |
| |
|
C. |
infinite |
D. |
no solution |
| |
|
Hint |
|
| |
17. |
If and find 3A + 2B. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
What translation matrix should be used to translate a figure with five vertices up 3 units and right 2 units? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
19. |
Find the value of the determinant of  |
| |
|
A. |
64 |
B. |
–32 |
| |
|
C. |
2 |
D. |
6 |
| |
|
Hint |
|
| |
20. |
Vince and Brian each need two kinds of items at the store. Vince bought 10 of item A and 14 of item B, and spent $97. Brian bought 8 of item A and 25 of item B, and spent $119. How much did each item cost? |
| |
|
A. |
item A = $5.50 item B = $3 |
B. |
item A = $2.10 item B = $1.14 |
| |
|
C. |
item A = $3 item B = $5.50 |
D. |
item A = $1.14 item B = $2.10 |
| |
|
Hint |
|
|
|