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

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

1.Expand and simplify: (x − 1)(x − 6)

Answer: x2 − 7x + 6

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

Answer: x2 − 9x + 18

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

Answer: x2 + 11x + 18

  1. x × x = x2
  2. x × 9 + 2 × x = 11x
  3. 2 × 9 = 18
4.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
5.Expand and simplify: (x − 4)(x + 8)

Answer: x2 + 4x − 32

  1. x × x = x2
  2. x × 8 + −4 × x = 4x
  3. −4 × 8 = −32
6.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
7.Expand and simplify: (x − 6)(x + 6)

Answer: x2 − 36

  1. x × x = x2
  2. x × 6 + −6 × x = 0
  3. −6 × 6 = −36
8.Expand and simplify: (x − 3)(x − 8)

Answer: x2 − 11x + 24

  1. x × x = x2
  2. x × −8 + −3 × x = −11x
  3. −3 × −8 = 24
9.Expand and simplify: (x − 5)(x + 2)

Answer: x2 − 3x − 10

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

Answer: x2 + 5x + 4

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

Answer: x2 + 4x − 45

  1. x × x = x2
  2. x × −5 + 9 × x = 4x
  3. 9 × −5 = −45
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