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8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Practice Set 4 — Answers

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

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8th 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 − 4)(x − 8)

Answer: x2 − 12x + 32

  1. x × x = x2
  2. x × −8 + −4 × x = −12x
  3. −4 × −8 = 32
2.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
3.Expand and simplify: (x + 4)(x − 6)

Answer: x2 − 2x − 24

  1. x × x = x2
  2. x × −6 + 4 × x = −2x
  3. 4 × −6 = −24
4.Expand and simplify: (x + 7)(x + 3)

Answer: x2 + 10x + 21

  1. x × x = x2
  2. x × 3 + 7 × x = 10x
  3. 7 × 3 = 21
5.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
6.Expand and simplify: (x + 1)(x − 9)

Answer: x2 − 8x − 9

  1. x × x = x2
  2. x × −9 + 1 × x = −8x
  3. 1 × −9 = −9
7.Expand and simplify: (x + 5)(x + 6)

Answer: x2 + 11x + 30

  1. x × x = x2
  2. x × 6 + 5 × x = 11x
  3. 5 × 6 = 30
8.Expand and simplify: (x − 3)(x − 2)

Answer: x2 − 5x + 6

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

Answer: x2 + 10x + 21

  1. x × x = x2
  2. x × 7 + 3 × x = 10x
  3. 3 × 7 = 21
10.Expand and simplify: (x − 7)(x + 7)

Answer: x2 − 49

  1. x × x = x2
  2. x × 7 + −7 × x = 0
  3. −7 × 7 = −49
11.Expand and simplify: (x − 8)(x + 5)

Answer: x2 − 3x − 40

  1. x × x = x2
  2. x × 5 + −8 × x = −3x
  3. −8 × 5 = −40
12.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
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