| |
| |
1. |
Evaluate 7[32 - 2(1 + 2)] ÷ 7 + 52. |
| |
|
A. |
30 |
B. |
28 |
| |
|
C. |
26 |
D. |
25 |
| |
|
Hint |
|
| |
2. |
Find the solution set for if the replacement set is { 0, 1, 2, 3, 5, 7 }. |
| |
|
A. |
{0, 1, 2} |
B. |
{0, 1, 2, 3, 5, 7} |
| |
|
C. |
{0, 1, 2, 3} |
D. |
{0, 1} |
| |
|
Hint |
|
| |
3. |
Write an algebraic expression for the verbal expression: three times the sum of x and y increased by five times the product of x and 3y. |
| |
|
A. |
3(x + y) + 5(x + 3y) |
B. |
3x + y + 5x(3y) |
| |
|
C. |
3(x + y) + 5(3xy) |
D. |
3(xy) + 5(x + 3y) |
| |
|
Hint |
|
| |
4. |
If y varies directly as x and y = 21 when x = 5, find x when y = 42. |
| |
|
A. |
4.2 |
B. |
21 |
| |
|
C. |
5 |
D. |
10 |
| |
|
Hint |
|
| |
5. |
Determine the slope of the line graphed below. |
| |
|
 |
| |
|
A. |
0 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
A direct variation equation has (-2, 4) and (n, -8) as solutions. Find the missing value. |
| |
|
A. |
4 |
B. |
1 |
| |
|
C. |
16 |
D. |
-2 |
| |
|
Hint |
|
| |
7. |
Solve  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Simplify (4x2y) (2xy2z3)3. |
| |
|
A. |
32x6y6z9 |
B. |
24x5y7z9 |
| |
|
C. |
32x5y7z9 |
D. |
8x5y7z9 |
| |
|
Hint |
|
| |
9. |
Express 0.034 × 107 in scientific notation. |
| |
|
A. |
0.34 × 106 |
B. |
3.4 × 109 |
| |
|
C. |
3.4 × 105 |
D. |
34 × 104 |
| |
|
Hint |
|
| |
10. |
Factor 14x2 - 28y2 + 56 |
| |
|
A. |
(2x + 7y + 2)(7x - 4y + 2) |
B. |
14xy(x - 2y + 4) |
| |
|
C. |
14(x2 - 2y2 + 4) |
D. |
14(x2 - 14y2 + 42) |
| |
|
Hint |
|
| |
11. |
Solve y = 7x – 7 if the domain is {-2, -1, 0, 1}. |
| |
|
A. |
{-21, -14, -7, 0} |
B. |
{-28, -14, 14, 28} |
| |
|
C. |
{-19, -13, -7, -1} |
D. |
{7, 14, 21, 28} |
| |
|
Hint |
|
| |
12. |
Select the linear equation. |
| |
|
A. |
5x2 + 2y2 = 1 |
B. |
3xy – 2y = 7 |
| |
|
C. |
= -2 |
D. |
y = -5x + 1 |
| |
|
Hint |
|
| |
13. |
Find h(-2.5) if h(z) = z² + 3.5z – 2.75. |
| |
|
A. |
-17.75 |
B. |
12.25 |
| |
|
C. |
0.25 |
D. |
-5.25 |
| |
|
Hint |
|
| |
14. |
Which equation describes the line that contains the points (-5, 2) and (3, 7)? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Solve  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
A boat travels 30 miles upstream in 4 hours. The trip downstream takes 2.5 hours. Find the rate of the boat in still water. |
| |
|
A. |
9.23 mph |
B. |
2.25 mph |
| |
|
C. |
6.92 mph |
D. |
9.75 mph |
| |
|
Hint |
|
| |
17. |
Suppose the perimeter of a triangle is given by P = 13x + 5y, and two of its sides have lengths of 2x + y and 8x + 4y. What is the length of the third side? |
| |
|
A. |
23x + 5y |
B. |
6x + 3y |
| |
|
C. |
3x + y |
D. |
3x |
| |
|
Hint |
|
| |
18. |
Simplify 5(2k2 – 3k) – 6k(–k2 + k – 7). |
| |
|
A. |
–6k3 + 4k2 + 27k |
B. |
6k3 + 4k2 + 27k |
| |
|
C. |
–6k3 + 4k2 – 5k |
D. |
6k3 + 4k2 – 5k |
| |
|
Hint |
|
| |
19. |
Factor x2 + 6x – 7. |
| |
|
A. |
(x + 3)(x + 3) |
B. |
(x + 1)(x – 7) |
| |
|
C. |
(x – 1)(x + 7) |
D. |
(x – 3)(x – 3) |
| |
|
Hint |
|
| |
20. |
Solve . |
| |
|
A. |
no solution |
B. |
19 |
| |
|
C. |
13 |
D. |
–13 |
| |
|
Hint |
|
|
|