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

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

1.Expand and simplify: (x − 1)(x + 5)

Answer: x2 + 4x − 5

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

Answer: x2 − 7x + 12

  1. x × x = x2
  2. x × −3 + −4 × x = −7x
  3. −4 × −3 = 12
3.Expand and simplify: (x − 9)(x − 6)

Answer: x2 − 15x + 54

  1. x × x = x2
  2. x × −6 + −9 × x = −15x
  3. −9 × −6 = 54
4.Expand and simplify: (x − 9)(x + 8)

Answer: x2 − x − 72

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

Answer: x2 + x − 12

  1. x × x = x2
  2. x × 4 + −3 × x = x
  3. −3 × 4 = −12
6.Expand and simplify: (x + 5)(x + 1)

Answer: x2 + 6x + 5

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

Answer: x2 − 81

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

Answer: x2 − 7x + 10

  1. x × x = x2
  2. x × −5 + −2 × x = −7x
  3. −2 × −5 = 10
9.Expand and simplify: (x − 4)(x + 8)

Answer: x2 + 4x − 32

  1. x × x = x2
  2. x × 8 + −4 × x = 4x
  3. −4 × 8 = −32
10.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
11.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
12.Expand and simplify: (x − 3)(x − 5)

Answer: x2 − 8x + 15

  1. x × x = x2
  2. x × −5 + −3 × x = −8x
  3. −3 × −5 = 15
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