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8th Grade Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 8th Grade algebraic expressions worksheet.

Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Algebraic Expressions

8th Grade Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 4 — Answers

Collect the like terms. Only terms with exactly the same letter and power can be added.

1.Simplify: 9x − 5x − 5x − 2x

Answer: 4x − 7x

  1. x terms: 9x − 5x = 4x
  2. x terms: −5x − 2x = −7x
2.Simplify: −3x + 8x + 6x + 5x

Answer: 3x + 13x

  1. x terms: −3x + 6x = 3x
  2. x terms: 8x + 5x = 13x
3.Simplify: 7x + 7x + 8x − 6x

Answer: 15x + x

  1. x terms: 7x + 8x = 15x
  2. x terms: 7x − 6x = x
4.Simplify: −5x + 8x − 4x + 4x

Answer: −9x + 12x

  1. x terms: −5x − 4x = −9x
  2. x terms: 8x + 4x = 12x
5.Simplify: −6x + 3x − 4x + 4x

Answer: −10x + 7x

  1. x terms: −6x − 4x = −10x
  2. x terms: 3x + 4x = 7x
6.Simplify: 9x + 8x − 5x − 6x

Answer: 4x + 2x

  1. x terms: 9x − 5x = 4x
  2. x terms: 8x − 6x = 2x
7.Simplify: 2x − 6x + 3x − 3x

Answer: 5x − 9x

  1. x terms: 2x + 3x = 5x
  2. x terms: −6x − 3x = −9x
8.Simplify: 5x + 8x + 2x − 6x

Answer: 7x + 2x

  1. x terms: 5x + 2x = 7x
  2. x terms: 8x − 6x = 2x
9.Simplify: 4x − x + 7x − 3x

Answer: 11x − 4x

  1. x terms: 4x + 7x = 11x
  2. x terms: −x − 3x = −4x
10.Simplify: 3x + 5x − 6x + 2x

Answer: −3x + 7x

  1. x terms: 3x − 6x = −3x
  2. x terms: 5x + 2x = 7x
11.Simplify: −2x + 4x + 5x − x

Answer: 3x + 3x

  1. x terms: −2x + 5x = 3x
  2. x terms: 4x − x = 3x
12.Simplify: −3x + 5x + 4x − 5x

Answer: x

  1. x terms: −3x + 4x = x
  2. x terms: 5x − 5x = 0
13.Simplify: −6x + 8x + 7x − 3x

Answer: x + 5x

  1. x terms: −6x + 7x = x
  2. x terms: 8x − 3x = 5x
14.Simplify: −2x + 5x + 9x + 8x

Answer: 7x + 13x

  1. x terms: −2x + 9x = 7x
  2. x terms: 5x + 8x = 13x
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