Q. What is the factored form of x^2 - 9?
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A.
(x - 3)(x + 3)
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B.
(x - 9)(x + 1)
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C.
(x - 1)(x + 1)
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D.
(x + 3)(x + 3)
Solution
This is a difference of squares: x^2 - 9 = (x - 3)(x + 3).
Correct Answer:
A
— (x - 3)(x + 3)
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Q. What is the range of the function y = -x^2 + 4?
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A.
y ≤ 4
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B.
y ≥ 4
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C.
y < 4
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D.
y > 4
Solution
The vertex is at (0, 4) and opens downwards, so the range is y ≤ 4.
Correct Answer:
A
— y ≤ 4
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Q. What is the solution set for the equation 4x + 1 = 2x + 9?
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A.
x = 4
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B.
x = 3
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C.
x = 2
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D.
x = 1
Solution
Subtract 2x from both sides: 2x + 1 = 9. Then subtract 1: 2x = 8. Finally, divide by 2: x = 4.
Correct Answer:
A
— x = 4
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Q. What is the solution set for the equation 4x + 8 = 0?
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A.
x = -2
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B.
x = 2
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C.
x = 0
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D.
x = 4
Solution
Subtract 8 from both sides: 4x = -8. Then divide by 4: x = -2.
Correct Answer:
A
— x = -2
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Q. What is the solution set for the inequality x + 2 > 5?
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A.
x < 3
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B.
x > 3
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C.
x < 7
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D.
x > 7
Solution
Subtract 2 from both sides: x > 3.
Correct Answer:
B
— x > 3
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Q. What is the value of x in the quadratic equation x^2 - 5x + 6 = 0?
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A.
x = 1 or x = 6
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B.
x = 2 or x = 3
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C.
x = 3 or x = 2
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D.
x = 0 or x = 5
Solution
Factor the equation: (x - 2)(x - 3) = 0. Thus, x = 2 or x = 3.
Correct Answer:
B
— x = 2 or x = 3
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Q. What is the y-intercept of the line represented by the equation y = -3x + 7?
Solution
The y-intercept is the constant term when x = 0, which is 7.
Correct Answer:
A
— 7
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Q. Which of the following represents the factored form of x^2 + 5x + 6?
-
A.
(x + 2)(x + 3)
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B.
(x - 2)(x - 3)
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C.
(x + 1)(x + 6)
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D.
(x - 1)(x - 6)
Solution
Factor the polynomial: x^2 + 5x + 6 = (x + 2)(x + 3).
Correct Answer:
A
— (x + 2)(x + 3)
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