Q. What is the solution to the equation 5x + 2 = 3x + 10?
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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
Step 1: Subtract 3x from both sides: 2x + 2 = 10. Step 2: Subtract 2 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.
Correct Answer:
A
— x = 4
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Q. Which of the following is the result of factoring 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 polynomial factors to (x + 2)(x + 3) since 2 and 3 multiply to 6 and add to 5.
Correct Answer:
A
— (x + 2)(x + 3)
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Q. Which of the following is the solution set for the inequality x^2 - 4 > 0?
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A.
(-∞, -2) ∪ (2, ∞)
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B.
(-2, 2)
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C.
[-2, 2]
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D.
[2, ∞)
Solution
Factor: (x - 2)(x + 2) > 0. The solution is x < -2 or x > 2.
Correct Answer:
A
— (-∞, -2) ∪ (2, ∞)
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