Which is the equivalent expression of 4(x + 2)?

Prepare for the ASVAB MEPS Exam with flashcards and multiple choice questions, each with hints and explanations. Get exam-ready today!

The expression 4(x + 2) represents a distributive property scenario where a coefficient (in this case, 4) is multiplied by the terms inside the parentheses. To find the equivalent expression, you apply the distributive property, which states that a(b + c) = ab + ac.

In this case, you would multiply 4 by both x and 2:

  1. Multiply 4 by x, which gives you 4x.

  2. Multiply 4 by 2, which gives you 8.

Combining these results leads to 4x + 8. This process shows that the expression expands correctly, demonstrating how multiplication affects each term within the parentheses. Thus, 4(x + 2) simplifies precisely to 4x + 8, confirming that this is the accurate equivalent expression.

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