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ASVAB · Algebra Basics and Equations

Simplify: 4(x + 3) − 2x

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Correct answer

2x + 12

  1. A 2x + 7
  2. B 2x + 12
  3. C 6x + 12
  4. D 2x + 3

Why this is the answer

Use the DISTRIBUTIVE property: 4(x + 3) = 4x + 12. Then subtract 2x: 4x + 12 − 2x = 2x + 12. ASVAB Mathematics Knowledge tests simplifying expressions. Strategy: (1) distribute the 4 across the parentheses: 4·x + 4·3 = 4x + 12; (2) combine like terms: 4x − 2x = 2x, and keep the +12. Result: 2x + 12.

Common error: forgetting to distribute the 4 to BOTH terms in the parentheses, or trying to combine 12 with the x-terms (you can't combine unlike terms).

Source: ASVAB Mathematics Knowledge — Simplifying Expressions

Practice more questions

This question is from our ASVAB Practice Tests practice test. Take the full practice test to test your knowledge across all Algebra Basics and Equations and other topics.

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About this topic: Algebra Basics and Equations

Algebra basics cover solving linear equations and inequalities, working with expressions, substitution and simple systems. Do the same operation to both sides, and check your answer by substituting it back. This is one of 17 Mathematics Knowledge questions on algebra basics and equations, each with a full explanation on a single study page.

New to this exam? Our ASVAB exam guide explains the format, scoring, and how to prepare.

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