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10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 10th Grade algebraic expressions worksheet.

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10th 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 + 9)

Answer: x2 + 7x − 18

  1. x × x = x2
  2. x × 9 + −2 × x = 7x
  3. −2 × 9 = −18
2.Expand and simplify: (x − 4)(x + 1)

Answer: x2 − 3x − 4

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

Answer: x2 + 2x − 3

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

Answer: x2 − 10x + 16

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

Answer: x2 + 10x + 16

  1. x × x = x2
  2. x × 8 + 2 × x = 10x
  3. 2 × 8 = 16
7.Expand and simplify: (x + 8)(x + 5)

Answer: x2 + 13x + 40

  1. x × x = x2
  2. x × 5 + 8 × x = 13x
  3. 8 × 5 = 40
8.Expand and simplify: (x + 2)(x + 4)

Answer: x2 + 6x + 8

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

Answer: x2 + 4x + 3

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

Answer: x2 − 4x − 21

  1. x × x = x2
  2. x × −7 + 3 × x = −4x
  3. 3 × −7 = −21
11.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
12.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
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