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9th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers

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

1.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
2.Expand and simplify: (x − 3)(x + 5)

Answer: x2 + 2x − 15

  1. x × x = x2
  2. x × 5 + −3 × x = 2x
  3. −3 × 5 = −15
3.Expand and simplify: (x + 7)(x − 4)

Answer: x2 + 3x − 28

  1. x × x = x2
  2. x × −4 + 7 × x = 3x
  3. 7 × −4 = −28
4.Expand and simplify: (x − 5)(x + 4)

Answer: x2 − x − 20

  1. x × x = x2
  2. x × 4 + −5 × x = −x
  3. −5 × 4 = −20
5.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
6.Expand and simplify: (x − 2)(x + 5)

Answer: x2 + 3x − 10

  1. x × x = x2
  2. x × 5 + −2 × x = 3x
  3. −2 × 5 = −10
7.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
8.Expand and simplify: (x − 7)(x + 6)

Answer: x2 − x − 42

  1. x × x = x2
  2. x × 6 + −7 × x = −x
  3. −7 × 6 = −42
9.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
10.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
11.Expand and simplify: (x − 2)(x − 2)

Answer: x2 − 4x + 4

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

Answer: x2 + x − 12

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