Success TutoringWorksheets

8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 4 — Answers

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

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Algebraic Expressions

8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 4 — Answers

Multiply every term inside the parentheses. Then collect like terms.

1.Expand: −5(x + 4)

Answer: −5x − 20

  1. −5 × x = −5x
  2. −5 × 4 = −20
2.Expand: −3(x + 2)

Answer: −3x − 6

  1. −3 × x = −3x
  2. −3 × 2 = −6
3.Expand: −1(4x − 9)

Answer: −4x + 9

  1. −1 × 4x = −4x
  2. −1 × −9 = 9
4.Expand: −2(4x − 6)

Answer: −8x + 12

  1. −2 × 4x = −8x
  2. −2 × −6 = 12
5.Expand: 6(3x + 2)

Answer: 18x + 12

  1. 6 × 3x = 18x
  2. 6 × 2 = 12
6.Expand: 2(5x + 1)

Answer: 10x + 2

  1. 2 × 5x = 10x
  2. 2 × 1 = 2
7.Expand: −4(5x + 3)

Answer: −20x − 12

  1. −4 × 5x = −20x
  2. −4 × 3 = −12
8.Expand: 7(6x + 1)

Answer: 42x + 7

  1. 7 × 6x = 42x
  2. 7 × 1 = 7
9.Expand: 4(x + 5)

Answer: 4x + 20

  1. 4 × x = 4x
  2. 4 × 5 = 20
10.Expand: 4(4x + 5)

Answer: 16x + 20

  1. 4 × 4x = 16x
  2. 4 × 5 = 20
11.Expand: 1(x + 9)

Answer: x + 9

  1. 1 × x = x
  2. 1 × 9 = 9
12.Expand: −5(2x + 4)

Answer: −10x − 20

  1. −5 × 2x = −10x
  2. −5 × 4 = −20
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.

Great work. Here's what to try next: