Success TutoringWorksheets

9th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 9th Grade algebraic expressions worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Algebraic Expressions

9th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Expand and simplify: (x − 9)(x + 9)

Answer: x2 − 81

  1. x × x = x2
  2. x × 9 + −9 × x = 0
  3. −9 × 9 = −81
2.Expand and simplify: (x + 5)(x + 4)

Answer: x2 + 9x + 20

  1. x × x = x2
  2. x × 4 + 5 × x = 9x
  3. 5 × 4 = 20
3.Expand and simplify: (x + 4)(x − 2)

Answer: x2 + 2x − 8

  1. x × x = x2
  2. x × −2 + 4 × x = 2x
  3. 4 × −2 = −8
4.Expand and simplify: (x + 6)(x + 2)

Answer: x2 + 8x + 12

  1. x × x = x2
  2. x × 2 + 6 × x = 8x
  3. 6 × 2 = 12
5.Expand and simplify: (x + 5)(x − 5)

Answer: x2 − 25

  1. x × x = x2
  2. x × −5 + 5 × x = 0
  3. 5 × −5 = −25
6.Expand and simplify: (x + 7)(x + 8)

Answer: x2 + 15x + 56

  1. x × x = x2
  2. x × 8 + 7 × x = 15x
  3. 7 × 8 = 56
7.Expand and simplify: (x + 8)(x − 8)

Answer: x2 − 64

  1. x × x = x2
  2. x × −8 + 8 × x = 0
  3. 8 × −8 = −64
8.Expand and simplify: (x − 1)(x − 1)

Answer: x2 − 2x + 1

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

Answer: x2 − 6x + 8

  1. x × x = x2
  2. x × −2 + −4 × x = −6x
  3. −4 × −2 = 8
10.Expand and simplify: (x − 6)(x − 4)

Answer: x2 − 10x + 24

  1. x × x = x2
  2. x × −4 + −6 × x = −10x
  3. −6 × −4 = 24
11.Expand and simplify: (x + 6)(x + 8)

Answer: x2 + 14x + 48

  1. x × x = x2
  2. x × 8 + 6 × x = 14x
  3. 6 × 8 = 48
12.Expand and simplify: (x − 8)(x + 6)

Answer: x2 − 2x − 48

  1. x × x = x2
  2. x × 6 + −8 × x = −2x
  3. −8 × 6 = −48
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: