Praxis 5003 Practice Question
Which of the following expressions is equivalent to 3(2x + 5) + 4x +7?
Correct Answer: B
Rationale: To simplify the expression 3(2x + 5) + 4x + 7, start by distributing the 3:
3(2x) + 3(5) = 6x + 15.
Next, combine this with the remaining terms:
6x + 15 + 4x + 7.
Combine like terms:
6x + 4x = 10x and 15 + 7 = 22.
Thus, the expression simplifies to 10x + 22, matching option B.
Option A (6x + 12) incorrectly simplifies the expression, missing key terms. Option C (10x + 12) miscalculates the constant. Option D (25x + 7) mistakenly adds the coefficients, leading to an incorrect total.
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