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

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

1.Expand and simplify: (x − 9)(x − 8)

Answer: x2 − 17x + 72

  1. x × x = x2
  2. x × −8 + −9 × x = −17x
  3. −9 × −8 = 72
2.Expand and simplify: (x − 4)(x + 5)

Answer: x2 + x − 20

  1. x × x = x2
  2. x × 5 + −4 × x = x
  3. −4 × 5 = −20
3.Expand and simplify: (x + 8)(x + 9)

Answer: x2 + 17x + 72

  1. x × x = x2
  2. x × 9 + 8 × x = 17x
  3. 8 × 9 = 72
4.Expand and simplify: (x − 4)(x + 7)

Answer: x2 + 3x − 28

  1. x × x = x2
  2. x × 7 + −4 × x = 3x
  3. −4 × 7 = −28
5.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
6.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
7.Expand and simplify: (x + 6)(x + 2)

Answer: x2 + 8x + 12

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

Answer: x2 − 3x + 2

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

Answer: x2 − 64

  1. x × x = x2
  2. x × −8 + 8 × x = 0
  3. 8 × −8 = −64
12.Expand and simplify: (x − 9)(x + 2)

Answer: x2 − 7x − 18

  1. x × x = x2
  2. x × 2 + −9 × x = −7x
  3. −9 × 2 = −18
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