Q. What is the factored form of the polynomial x^2 - 4?
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A.
(x - 2)(x + 2)
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B.
(x - 4)(x + 4)
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C.
(x + 4)(x + 2)
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D.
(x - 1)(x + 1)
Solution
This is a difference of squares: x^2 - 4 = (x - 2)(x + 2).
Correct Answer:
A
— (x - 2)(x + 2)
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Q. What is the solution set for the inequality 2x + 1 ≥ 5?
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A.
x ≥ 2
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B.
x ≤ 2
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C.
x > 2
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D.
x < 2
Solution
Subtract 1 from both sides: 2x ≥ 4. Then divide by 2: x ≥ 2.
Correct Answer:
A
— x ≥ 2
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Q. What is the value of x in the equation 5x - 2 = 3x + 6?
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A.
x = 2
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B.
x = 3
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C.
x = 4
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D.
x = 5
Solution
Subtract 3x from both sides: 2x - 2 = 6. Then add 2: 2x = 8. Finally, divide by 2: x = 4.
Correct Answer:
A
— x = 2
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Q. Which of the following is the standard form of a linear equation?
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A.
y = mx + b
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B.
Ax + By = C
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C.
y = ax^2 + bx + c
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D.
x^2 + y^2 = r^2
Solution
The standard form of a linear equation is Ax + By = C.
Correct Answer:
B
— Ax + By = C
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