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1. |
Factor 12a2b + 30ab2 |
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A. |
6ab(2a + 5b) |
B. |
6ab(6a + 24b) |
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C. |
ab(12a + 30b) |
D. |
6(2a2b + 5ab2) |
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Hint |
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2. |
Factor 14x2 - 28y2 + 56 |
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A. |
14(x2 - 14y2 + 42) |
B. |
14(x2 - 2y2 + 4) |
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C. |
(2x + 7y + 2)(7x - 4y + 2) |
D. |
14xy(x - 2y + 4) |
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Hint |
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3. |
Factor 7xy2 - 28x3 |
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A. |
7x2y2(1 + x) |
B. |
(7xy + x)(y – 28x2) |
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C. |
prime |
D. |
7x(y + 2x)(y - 2x) |
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Hint |
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4. |
Solve x2 – x – 72 = 0. |
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A. |
x = -8 |
B. |
x = -8 or x = 9 |
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C. |
x = 9 |
D. |
x = 8 or x = -9 |
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Hint |
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5. |
Find the prime factorization of -198. |
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A. |
2 · 32 · 10 |
B. |
–1 · 2 · 32 · 11 |
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C. |
2 · 32 · 11 |
D. |
–1 · 2 · 32 · 10 |
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Hint |
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6. |
Is 79 prime or composite? If it is composite, what is its factorization? |
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A. |
composite, 7 × 11 |
B. |
composite, 13 × 6 |
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C. |
prime |
D. |
composite, 3 × 23 |
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Hint |
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7. |
Joanne has a garden that is 9 feet long by 6 feet wide. She wants to increase the dimensions of the garden by the same amount, and have the area of the new garden be 5 times the area of the present garden. What should the new dimensions be? |
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A. |
length = 15 ft
width = 18 ft |
B. |
length = 30 ft
width = 24ft |
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C. |
length = 24 ft
width = 30 ft |
D. |
length = 18 ft
wideth = 15ft |
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Hint |
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8. |
Factor 4x2 – 14x – 8. |
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A. |
2(2x + 1)(x – 4) |
B. |
(2x + 1)(x – 4) |
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C. |
(2x + 1)(x – 2) |
D. |
2(2x + 1)(x – 2) |
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Hint |
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9. |
Solve 6x2 + 3x – 12 = 2 – 2x. |
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A. |
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B. |
{–1.77, 0.94} |
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C. |
{–1.61, 1.45} |
D. |
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Hint |
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10. |
Solve 27x3 = 147x. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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11. |
Solve the equation x2 –  x +  = 0. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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12. |
Solve the following: y2 + 6y + 9 = 49. |
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A. |
{10, –4} |
B. |
{7, –7} |
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C. |
{7} |
D. |
{–10, 4} |
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Hint |
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