| |
| |
1. |
Translate 3x + 5y = 7 into a verbal sentence. |
| |
|
A. |
The sum of 3 times x and 5 times y is 7. |
| |
|
B. |
3 times the sum of x and y is 7. |
| |
|
C. |
x to the third power plus y to the fifth power is 7. |
| |
|
D. |
The sum of 3 and x plus the product of 5 and y is 7. |
| |
|
Hint |
|
| |
2. |
Solve the proportion  for the value of z to the nearest hundredth. |
| |
|
A. |
2.10 |
B. |
1.34 |
| |
|
C. |
2.56 |
D. |
0.39 |
| |
|
Hint |
|
| |
3. |
Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20. |
| |
|
A. |
y = 2x + 8 |
B. |
 |
| |
|
C. |
y = -2x |
D. |
 |
| |
|
Hint |
|
| |
4. |
Which is the graph of the solution to the inequality
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
5. |
Simplify  . Assume the denominator is not equal to zero. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
-b2 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Find the quotient  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Solve  . |
| |
|
A. |
5 |
B. |
-2 or  |
| |
|
C. |
-2 |
D. |
-2 or 7 |
| |
|
Hint |
|
| |
8. |
Evaluate 2 × 17 × 5. |
| |
|
A. |
170 |
B. |
180 |
| |
|
C. |
190 |
D. |
160 |
| |
|
Hint |
|
| |
9. |
Which values are a counterexample to the given statement?
If x × y = 0, then x must be 0. |
| |
|
A. |
x = 0, y = 0 |
B. |
x = 0, y = 1 |
| |
|
C. |
x = -1, y = 1 |
D. |
x = 5, y = 0 |
| |
|
Hint |
|
| |
10. |
Solve  |
| |
|
A. |
All Real Numbers |
B. |
No Solution |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Triangle DEF has vertices D(-6, -1), E(-4, -8), and F(-2, -5). Find the coordinates of the image of triangle DEF after it is rotated 180° about the origin. |
| |
|
A. |
D´(6, 1), E´(4, 8), F´(2, 5) |
| |
|
B. |
D´(1, -6), E´(8, -4), F´(5, -2) |
| |
|
C. |
D´(1, 6), E´(8, 4), F´(5, 2) |
| |
|
D. |
D´(-1, -6), E´(-8, -4), F´(-5, -2) |
| |
|
Hint |
|
| |
12. |
Find the solution set for y =  x – 3, given the replacement set {(-8, -7), (-5, -5), (0, 3), (4, 5)} |
| |
|
A. |
{(-5, -5)} |
B. |
{(-8, -7), (0, 3)} |
| |
|
C. |
{(-5, -5), (4, 5)} |
D. |
{(-8, -7)} |
| |
|
Hint |
|
| |
13. |
Graph the solution of q – 27 < -19. |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
14. |
Suppose that we have a 3 ft. × 3 ft. piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square? |
| |
|
A. |
4 ft. |
B. |
2 ft. |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Nancy invests $100 in one account for ten years at a 9% interest rate compounded annually, and she invests $150 in an account for 10 years at a 6% interest rate compounded semi-annually. How much money will she have in the accounts after 10 years? |
| |
|
A. |
$507.65 |
B. |
$236.74 |
| |
|
C. |
$505.36 |
D. |
$270.92 |
| |
|
Hint |
|
| |
16. |
Suppose a man that is 6 feet tall is standing near a street light that is 10 feet high. If the shadow that is cast extends 20 feet away from the light, how far away from the light is the man? |
| |
|
A. |
14 feet |
B. |
6 feet |
| |
|
C. |
8 feet |
D. |
12 feet |
| |
|
Hint |
|
| |
17. |
Using the figure, which expression is equal to cos 38°? |
| |
|
 |
| |
|
A. |
tan 38° |
B. |
sin 52° |
| |
|
C. |
sin 38° |
D. |
tan 52° |
| |
|
Hint |
|
| |
18. |
A builder wants the kitchen to have an area of x2 – 2x – 24, and a length of x + 4. What is the width? |
| |
|
A. |
x + 6 |
B. |
– 6 |
| |
|
C. |
x – 6 |
D. |
6 |
| |
|
Hint |
|
| |
19. |
Juan and Sam have to complete 4 home repair jobs this week. If Juan works by himself, he can do the repairs in 7 days. With Sam helping him, they completed them in 3 days. How long would it take Sam to complete the repairs alone? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
20. |
Solve -15 = k - 12. |
| |
|
A. |
k = -27 |
B. |
k = -3 |
| |
|
C. |
k =  |
D. |
k = 27 |
| |
|
Hint |
|
|
|