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1. |
Find the solution set for  if the replacement set is
{ 0, 1, 2, 3, 5, 7 }. |
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A. |
{0, 1, 2, 3, 5, 7} |
B. |
{0, 1, 2, 3} |
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C. |
{0, 1} |
D. |
{0, 1, 2} |
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Hint |
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2. |
Use the distributive property to rewrite 3(5 + y) without parentheses. |
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A. |
8 + y |
B. |
15 + 3y |
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C. |
15 + y |
D. |
8 + 3y |
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Hint |
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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. |
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A. |
3(x + y) + 5(3xy) |
B. |
3(x + y) + 5(x + 3y) |
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C. |
3(xy) + 5(x + 3y) |
D. |
3x + y + 5x(3y) |
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Hint |
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4. |
Find cos 42° to the nearest thousandth. |
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A. |
0.900 |
B. |
-0.399 |
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C. |
0.669 |
D. |
0.743 |
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Hint |
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5. |
Find the polynomial that represents the measure of the perimeter of the triangle. |
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A. |
7x3y6 + 10x2 – 2y |
B. |
5xy2 + 10x |
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C. |
15xy2 |
D. |
7xy2 + 10x – 2y |
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Hint |
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6. |
Which of the following values is prime? |
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A. |
96 |
B. |
72 |
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C. |
53 |
D. |
81 |
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Hint |
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7. |
Find the prime factorization of 324. |
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A. |
22 · 33 |
B. |
22 · 32 · 9 |
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C. |
34 · 4 |
D. |
22 · 34 |
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Hint |
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8. |
Factor 54x3y2 |
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A. |
2 · 33 · x · x · x · y · y |
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B. |
2 · 27 · x · x · x · y · y |
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C. |
23 · 3 · x · x · x · y · y |
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D. |
2 · 33 · x · x · y · y · y |
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Hint |
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9. |
Factor 10x2 + 24x + 8. |
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A. |
(x + 2)(5x + 2) |
B. |
(2x + 4)(5x + 2) |
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C. |
2(x + 4)(5x + 1) |
D. |
2(x + 2)(5x + 2) |
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Hint |
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10. |
The equation x2 + 1 = -3x does not have integral roots. State the consecutive integers between which the roots lie. |
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A. |
between 0 and 1 and between 2 and 3 |
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B. |
between -3 and -2 and between 0 and 1 |
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C. |
between -1 and 0 and between 0 and 1 |
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D. |
between -3 and -2 and between -1 and 0 |
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Hint |
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11. |
Which equation represents exponential decay? |
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A. |
y = 1.7(1.06)x |
B. |
y = 1.05(0.95)x |
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C. |
y = 2.62(1.22)x |
D. |
y = 0.86(1.46)x |
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Hint |
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12. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
-4, 5 |
B. |
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C. |
-5, 4 |
D. |
 |
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Hint |
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13. |
Write an algebraic expression for the verbal expression. the sum of 4 and one half of the number x |
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A. |
4 -  ÷ x |
B. |
4 + ÷ x |
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C. |
4 + x |
D. |
4 - x |
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Hint |
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14. |
Write the inverse of the relation
{(-6, 1), (-3, 2), (0, 3), (3, 4), (6, 5)} |
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A. |
{(-1, 6), (-2, 3), (-3, 0), (-4, -3), (-5, -6)} |
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B. |
{(6, -1), (3, -2), (0, -3), (-3, -4), -6, -5)} |
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C. |
{(1, -6), (2, -3), (3, 0), (4, 3), (5, 6)} |
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D. |
{(-1, -6), (-2, -3), (-3, 0), (-4, -3), (-5, -6)} |
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Hint |
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15. |
From the set {(-5, 4), (0, 2), (1, 6), (4, -4)}, which ordered pairs are a part of the solution set for  |
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A. |
{(-5, 4), (0, 2), (1, 6)} |
B. |
{(-5, 4), (1, 6), (4, -4)} |
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C. |
{(0, 2), (4, -4)} |
D. |
{(1, 6), (4, -4)} |
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Hint |
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16. |
Find the product (2x + 3)(3x – 2). |
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A. |
6x2 + 9x – 6 |
B. |
6x2 + 5x – 6 |
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C. |
6x2 + 9x – 5 |
D. |
6x2 + 5x – 5 |
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Hint |
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17. |
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? |
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A. |
 |
B. |
2 ft. |
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C. |
4 ft. |
D. |
 |
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Hint |
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18. |
Solve the following: (q + 2)2 = 25. |
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A. |
{–3, 3} |
B. |
{–7, 3} |
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C. |
{3} |
D. |
{–7} |
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Hint |
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19. |
Solve 0.25x2 – 7x – 15 = 0. |
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A. |
{3, 15} |
B. |
{–5, 3} |
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C. |
{–2, 30} |
D. |
{4, 30} |
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Hint |
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20. |
If Dale Jarrett drives his car 1760 feet on the racetrack in 6 seconds, about how long will it take him to drive 2640 feet, a half mile? |
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A. |
9 seconds |
B. |
18 minutes |
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C. |
18 seconds |
D. |
6 minutes, 40 seconds |
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Hint |
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