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

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

1.Expand and simplify: (x + 2)(x + 3)

Answer: x2 + 5x + 6

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

Answer: x2 − 4x − 45

  1. x × x = x2
  2. x × −9 + 5 × x = −4x
  3. 5 × −9 = −45
4.Expand and simplify: (x + 3)(x − 3)

Answer: x2 − 9

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

Answer: x2 + 12x + 27

  1. x × x = x2
  2. x × 3 + 9 × x = 12x
  3. 9 × 3 = 27
7.Expand and simplify: (x − 2)(x + 6)

Answer: x2 + 4x − 12

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

Answer: x2 − 36

  1. x × x = x2
  2. x × −6 + 6 × x = 0
  3. 6 × −6 = −36
9.Expand and simplify: (x + 6)(x − 3)

Answer: x2 + 3x − 18

  1. x × x = x2
  2. x × −3 + 6 × x = 3x
  3. 6 × −3 = −18
10.Expand and simplify: (x − 5)(x − 5)

Answer: x2 − 10x + 25

  1. x × x = x2
  2. x × −5 + −5 × x = −10x
  3. −5 × −5 = 25
11.Expand and simplify: (x + 8)(x − 7)

Answer: x2 + x − 56

  1. x × x = x2
  2. x × −7 + 8 × x = x
  3. 8 × −7 = −56
12.Expand and simplify: (x − 5)(x + 9)

Answer: x2 + 4x − 45

  1. x × x = x2
  2. x × 9 + −5 × x = 4x
  3. −5 × 9 = −45
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