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10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Practice Set 4 — Answers

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10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2 — Practice Set 4 — Answers

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

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

Answer: x2 − 7x + 10

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

Answer: x2 + 15x + 56

  1. x × x = x2
  2. x × 7 + 8 × x = 15x
  3. 8 × 7 = 56
4.Expand and simplify: (x + 5)(x + 2)

Answer: x2 + 7x + 10

  1. x × x = x2
  2. x × 2 + 5 × x = 7x
  3. 5 × 2 = 10
5.Expand and simplify: (x − 4)(x − 7)

Answer: x2 − 11x + 28

  1. x × x = x2
  2. x × −7 + −4 × x = −11x
  3. −4 × −7 = 28
6.Expand and simplify: (x − 7)(x − 1)

Answer: x2 − 8x + 7

  1. x × x = x2
  2. x × −1 + −7 × x = −8x
  3. −7 × −1 = 7
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 − 6)(x − 7)

Answer: x2 − 13x + 42

  1. x × x = x2
  2. x × −7 + −6 × x = −13x
  3. −6 × −7 = 42
9.Expand and simplify: (x + 1)(x + 8)

Answer: x2 + 9x + 8

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

Answer: x2 − 7x + 12

  1. x × x = x2
  2. x × −4 + −3 × x = −7x
  3. −3 × −4 = 12
11.Expand and simplify: (x + 5)(x + 1)

Answer: x2 + 6x + 5

  1. x × x = x2
  2. x × 1 + 5 × x = 6x
  3. 5 × 1 = 5
12.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
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