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1. |
Factor 8ac + 12ad + 10bc + 15bd. |
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A. |
4a(2c + 3d) + 5b(2c + 3d) |
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B. |
(2c + 3d) + (4a + 5b) |
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C. |
(8ac + 12ad) + (10bc + 15bd) |
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D. |
(2c + 3d)(4a + 5b) |
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Hint |
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2. |
An expression for the area of a rectangle is xy – 2x + 3y – 6. Express this area in factored form. |
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A. |
x(y – 2) + 3(y – 2) |
B. |
(x – 2)(y + 3) |
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C. |
(x + 3)(y – 2) |
D. |
(xy – 2x)( 3y – 6) |
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Hint |
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3. |
Factor x2 + 5x + 6. |
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A. |
(x + 2)(x + 3) |
B. |
prime |
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C. |
(x + 1)(x + 6) |
D. |
(x + 1)(x + 5) |
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Hint |
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4. |
Factor 4y2 – 3y – 1. |
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A. |
(4y + 1)(y – 1) |
B. |
(2y + 1)(2y – 1) |
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C. |
prime |
D. |
(4y – 1)(y + 1) |
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Hint |
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5. |
Factor 6y2 + 22y – 8. |
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A. |
(6y – 1)(y + 8) |
B. |
2(3y – 2)(y + 2) |
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C. |
2(3y – 1)(y + 4) |
D. |
(2y– 4)(3y + 2) |
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Hint |
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6. |
Solve x2 – x – 72 = 0. |
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A. |
x = 9 |
B. |
x = 8 or x = -9 |
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C. |
x = -8 or x = 9 |
D. |
x = -8 |
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Hint |
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7. |
Find the prime factorization of -198. |
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A. |
2 · 32 · 10 |
B. |
–1 · 2 · 32 · 11 |
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C. |
–1 · 2 · 32 · 10 |
D. |
2 · 32 · 11 |
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Hint |
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8. |
Is 79 prime or composite? If it is composite, what is its factorization? |
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A. |
composite, 13 × 6 |
B. |
composite, 3 × 23 |
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C. |
composite, 7 × 11 |
D. |
prime |
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Hint |
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9. |
Solve 27x3 = 147x. |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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10. |
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. |
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B. |
4 ft. |
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C. |
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D. |
2 ft. |
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Hint |
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11. |
Solve the following: (q + 2)2 = 25. |
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A. |
{–3, 3} |
B. |
{3} |
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C. |
{–7} |
D. |
{–7, 3} |
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Hint |
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12. |
Solve the following: y2 + 6y + 9 = 49. |
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A. |
{7} |
B. |
{–10, 4} |
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C. |
{7, –7} |
D. |
{10, –4} |
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Hint |
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