Success TutoringWorksheets

Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Practice Set 2 — Answers

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

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Algebraic Expressions

Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Practice Set 2 — Answers

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

1.Simplify: 9x − 6x + 3

Answer: 3x + 3

  1. 9x − 6x = 3x
2.Simplify: 4x + 4x + 6

Answer: 8x + 6

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

Answer: −2x + 4

  1. 2x − 4x = −2x
4.Simplify: 4x − x + 1

Answer: 3x + 1

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

Answer: x + 9

  1. −6x + 7x = x
6.Simplify: −4x − 4x + 1

Answer: −8x + 1

  1. −4x − 4x = −8x
7.Simplify: x + 7x + 4

Answer: 8x + 4

  1. x + 7x = 8x
8.Simplify: −5x − 5x + 6

Answer: −10x + 6

  1. −5x − 5x = −10x
9.Simplify: −5x − 6x + 3

Answer: −11x + 3

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

Answer: −8x + 3

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

Answer: 6x + 3

  1. 3x + 3x = 6x
12.Simplify: 4x − 6x + 1

Answer: −2x + 1

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

Answer: 9x + 3

  1. 8x + x = 9x
14.Simplify: 3x + 9x + 7

Answer: 12x + 7

  1. 3x + 9x = 12x
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.