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

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

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9th 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 + 9)(x + 6)

Answer: x2 + 15x + 54

  1. x × x = x2
  2. x × 6 + 9 × x = 15x
  3. 9 × 6 = 54
2.Expand and simplify: (x + 6)(x + 5)

Answer: x2 + 11x + 30

  1. x × x = x2
  2. x × 5 + 6 × x = 11x
  3. 6 × 5 = 30
3.Expand and simplify: (x − 3)(x − 9)

Answer: x2 − 12x + 27

  1. x × x = x2
  2. x × −9 + −3 × x = −12x
  3. −3 × −9 = 27
4.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
5.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
6.Expand and simplify: (x − 9)(x − 4)

Answer: x2 − 13x + 36

  1. x × x = x2
  2. x × −4 + −9 × x = −13x
  3. −9 × −4 = 36
7.Expand and simplify: (x − 7)(x + 9)

Answer: x2 + 2x − 63

  1. x × x = x2
  2. x × 9 + −7 × x = 2x
  3. −7 × 9 = −63
8.Expand and simplify: (x + 6)(x − 1)

Answer: x2 + 5x − 6

  1. x × x = x2
  2. x × −1 + 6 × x = 5x
  3. 6 × −1 = −6
9.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
10.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
11.Expand and simplify: (x + 1)(x − 4)

Answer: x2 − 3x − 4

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

Answer: x2 − 3x − 54

  1. x × x = x2
  2. x × −9 + 6 × x = −3x
  3. 6 × −9 = −54
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