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1. |
Suppose you want to solve x2 + 5x + 1 = 0 by completing the square. What is the first step? |
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A. |
Square 1, the constant term in the expression. |
B. |
Square 5, the coefficient of x. |
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C. |
Subtract 1 from each side of the equation. |
D. |
Find one half of 5, the coefficient of x. |
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Hint |
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2. |
The length of a flower garden is 8 feet less than twice the width. The total area of the garden is 300 square feet. Find the dimensions of the garden to the nearest tenth of a foot. |
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A. |
14.1 feet by 22.1 feet |
B. |
14.4 feet by 36.8 feet |
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C. |
14.1 feet by 20.2 feet |
D. |
14.4 feet by 20.8 feet |
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Hint |
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3. |
Find the value of c that makes x2 – 18 + c a perfect square. |
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A. |
-3 |
B. |
-81 |
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C. |
81 |
D. |
3 |
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Hint |
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4. |
Solve x2 – 4x – 32 = 0 by completing the square. |
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A. |
x = -6, x = 3 |
B. |
x = -8, x= 4 |
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C. |
x = 6, x = -3 |
D. |
x = 8, x = -4 |
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Hint |
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5. |
Solve x2 – 10x + 21 = 0 by completing the square. |
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A. |
x = -4, x = -2 |
B. |
x = 4, x= 2 |
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C. |
x= -7, x= -3 |
D. |
x = 7, x = 3 |
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Hint |
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