5003 Praxis Practice Test Practice Question
Which of the following expressions is equivalent to the expression 3(a-4)-2(b+8) for all values of a and 47
Correct Answer: D
Rationale: To determine the equivalent expression for \( 3(a-4)-2(b+8) \), we first simplify it. Distributing yields \( 3a - 12 - 2b - 16 \), which simplifies to \( 3a - 2b - 28 \).
Option A, \( 3a - 26 + 4 \), incorrectly simplifies to \( 3a - 22 \), missing the necessary components. Option B, \( 3a - 28 - 4 \), incorrectly combines terms, leading to \( 3a - 32 \). Option C, \( 34 - 26 - 20 \), simplifies to -12, which does not represent the original expression. Option D, \( 3a - 2b - 28 \), correctly matches the simplified expression, confirming its equivalence.
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