Praxis 5003 Practice Question
Which of the following expressions are equivalent to 2(4f + 2g) ? Select ALL that apply.
Correct Answer: A,F
Rationale: To determine which expressions are equivalent to 2(4f + 2g), we first simplify this expression:
2(4f + 2g) = 8f + 4g.
Option A, 4(2f + g), simplifies to 8f + 4g, making it equivalent. Option F also simplifies to 8f + 4g, confirming its equivalence.
Option B, 4(2f + 2g), simplifies to 8f + 8g, which is not equivalent.
Option C, 2f(4 + 2g), simplifies to 8f + 4fg, which introduces an additional variable factor, thus not equivalent.
Option D simplifies to 16f + 4g, which changes the coefficient of f, making it incorrect.
Option E simplifies to 8f + 2g, which alters the coefficient of g, rendering it non-equivalent.
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