247SimpleTests
ASVAB · Algebra Basics and Equations

Solve: 2(x + 4) = 22

Reviewed by Jordan Morley, Editorial Lead at 247SimpleTests. Written by the 247SimpleTests Editorial Team from the official source material cited on every question.

Correct answer

7

  1. A 9
  2. B 7
  3. C 6
  4. D 5

Why this is the answer

Distribute: 2x + 8 = 22. Subtract 8: 2x = 14. Divide by 2: x = 7. Either distribute first, as shown, or divide both sides by 2 straight away: x + 4 = 11, so x = 7 — the second route is quicker when the number outside the bracket divides the other side evenly. Check: 2(7 + 4) = 2 × 11 = 22 ✓. The distractor 9 comes from forgetting to multiply the 4 by 2 (2x + 4 = 22), 5 from a subtraction slip, and 6 from dividing 22 by 2 and then subtracting 5 instead of 4.
Source: ASVAB MK, Distributive Property

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.

Take the Mathematics Knowledge practice test →

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.

Related questions

Algebra Basics and Equations

Solve for x: 3x + 7 = 22

 Algebra Basics and Equations

If 2(x − 4) = 14, what is the value of x?

 Algebra Basics and Equations

Simplify: 4(2x + 3) − 2(x − 5)

 Algebra Basics and Equations

Solve the system: x + y = 10 and x − y = 4

Recommended study materials

Study guide

ASVAB Total Prep (Kaplan)

Kaplan's complete ASVAB guide with 1,000+ practice questions, 6 full-length tests, and AFQT focus.

Check Price → Study guide

Barron's ASVAB with Online Tests 12th Ed.

Comprehensive ASVAB review for all nine subtests with full-length practice exams and online tools.

Check Price → Study guide

ASVAB for Dummies 4th Ed. (Wiley)

Accessible, thorough ASVAB prep covering all subtests with tips for boosting your AFQT score.

Check Price →

As an Amazon Associate, CJ Affiliate, and AWIN publisher we earn from qualifying purchases. Links above are affiliate links. Full disclosure →