Q. What is the solution set for the inequality 2x + 3 ≥ 7?
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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 3 from both sides: 2x ≥ 4. Then divide by 2: x ≥ 2.
Correct Answer:
B
— x ≥ 2
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Q. What is the solution to the inequality 2x + 1 ≥ 3?
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A.
x ≤ 1
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B.
x ≥ 1
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C.
x < 1
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D.
x > 1
Solution
Subtract 1 from both sides: 2x ≥ 2. Divide by 2: x ≥ 1.
Correct Answer:
B
— x ≥ 1
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Q. What is the value of x in the equation 3(x + 2) = 21?
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A.
x = 5
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B.
x = 7
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C.
x = 3
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D.
x = 1
Solution
Divide both sides by 3: x + 2 = 7. Then subtract 2: x = 5.
Correct Answer:
A
— x = 5
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Q. Which expression represents the factored form of x^2 + 5x + 6?
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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
The expression factors to (x + 2)(x + 3) since 2 and 3 add to 5 and multiply to 6.
Correct Answer:
A
— (x + 2)(x + 3)
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Q. Which expression represents the factored form of x^2 - 16?
-
A.
(x - 4)(x + 4)
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B.
(x - 8)(x + 2)
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C.
(x - 2)(x + 2)
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D.
(x + 4)(x + 4)
Solution
This is a difference of squares: x^2 - 4^2 = (x - 4)(x + 4).
Correct Answer:
A
— (x - 4)(x + 4)
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