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

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

1.Expand and simplify: (x − 1)(x − 5)

Answer: x2 − 6x + 5

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

Answer: x2 + 4x − 21

  1. x × x = x2
  2. x × −3 + 7 × x = 4x
  3. 7 × −3 = −21
3.Expand and simplify: (x − 1)(x − 2)

Answer: x2 − 3x + 2

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

Answer: x2 − 11x + 18

  1. x × x = x2
  2. x × −2 + −9 × x = −11x
  3. −9 × −2 = 18
6.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
7.Expand and simplify: (x + 1)(x − 2)

Answer: x2 − x − 2

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

Answer: x2 + 4x + 3

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

Answer: x2 − 16

  1. x × x = x2
  2. x × 4 + −4 × x = 0
  3. −4 × 4 = −16
10.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
11.Expand and simplify: (x + 8)(x − 9)

Answer: x2 − x − 72

  1. x × x = x2
  2. x × −9 + 8 × x = −x
  3. 8 × −9 = −72
12.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
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