Success TutoringWorksheets

8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Practice Set 3 — 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 2 — Practice Set 3 — Answers

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

1.Expand and simplify: (x − 2)(x − 6)

Answer: x2 − 8x + 12

  1. x × x = x2
  2. x × −6 + −2 × x = −8x
  3. −2 × −6 = 12
2.Expand and simplify: (x + 3)(x + 8)

Answer: x2 + 11x + 24

  1. x × x = x2
  2. x × 8 + 3 × x = 11x
  3. 3 × 8 = 24
3.Expand and simplify: (x + 5)(x − 3)

Answer: x2 + 2x − 15

  1. x × x = x2
  2. x × −3 + 5 × x = 2x
  3. 5 × −3 = −15
4.Expand and simplify: (x + 3)(x − 2)

Answer: x2 + x − 6

  1. x × x = x2
  2. x × −2 + 3 × x = x
  3. 3 × −2 = −6
5.Expand and simplify: (x − 3)(x − 6)

Answer: x2 − 9x + 18

  1. x × x = x2
  2. x × −6 + −3 × x = −9x
  3. −3 × −6 = 18
6.Expand and simplify: (x + 8)(x + 9)

Answer: x2 + 17x + 72

  1. x × x = x2
  2. x × 9 + 8 × x = 17x
  3. 8 × 9 = 72
7.Expand and simplify: (x + 4)(x − 7)

Answer: x2 − 3x − 28

  1. x × x = x2
  2. x × −7 + 4 × x = −3x
  3. 4 × −7 = −28
8.Expand and simplify: (x − 7)(x − 7)

Answer: x2 − 14x + 49

  1. x × x = x2
  2. x × −7 + −7 × x = −14x
  3. −7 × −7 = 49
9.Expand and simplify: (x + 3)(x − 8)

Answer: x2 − 5x − 24

  1. x × x = x2
  2. x × −8 + 3 × x = −5x
  3. 3 × −8 = −24
10.Expand and simplify: (x − 5)(x − 7)

Answer: x2 − 12x + 35

  1. x × x = x2
  2. x × −7 + −5 × x = −12x
  3. −5 × −7 = 35
11.Expand and simplify: (x − 8)(x − 2)

Answer: x2 − 10x + 16

  1. x × x = x2
  2. x × −2 + −8 × x = −10x
  3. −8 × −2 = 16
12.Expand and simplify: (x − 1)(x + 4)

Answer: x2 + 3x − 4

  1. x × x = x2
  2. x × 4 + −1 × x = 3x
  3. −1 × 4 = −4
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: