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Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 7 algebraic expressions worksheet.

Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Algebraic Expressions

Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 2 — Answers

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

1.Simplify: −6x + 5x − 4x + 6x

Answer: −10x + 11x

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

Answer: −x + 8x

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

Answer: −10x − x

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

Answer: −6x − 8x

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

Answer: −8x + 6x

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

Answer: 10x + 6x

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

Answer: 16x + 8x

  1. x terms: 9x + 7x = 16x
  2. x terms: 7x + x = 8x
8.Simplify: 2x + 5x + 2x + 9x

Answer: 4x + 14x

  1. x terms: 2x + 2x = 4x
  2. x terms: 5x + 9x = 14x
9.Simplify: 7x − x − 5x − 2x

Answer: 2x − 3x

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

Answer: 3x + 3x

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

Answer: 9x + x

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

Answer: 11x + 11x

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

Answer: −3x + 14x

  1. x terms: −6x + 3x = −3x
  2. x terms: 7x + 7x = 14x
14.Simplify: 5x − 4x + 2x + 4x

Answer: 7x

  1. x terms: 5x + 2x = 7x
  2. x terms: −4x + 4x = 0
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