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Year 10 Expanding Brackets Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.

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Year 10 · Mathematics · Algebraic Expressions

Year 10 Expanding Brackets Worksheet — Level 2 — Answers

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

1.Expand and simplify: (x + 8)(x + 5)

Answer: x2 + 13x + 40

  1. x × x = x2
  2. x × 5 + 8 × x = 13x
  3. 8 × 5 = 40
2.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
3.Expand and simplify: (x + 7)(x + 8)

Answer: x2 + 15x + 56

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

Answer: x2 + 2x − 3

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

Answer: x2 − 4

  1. x × x = x2
  2. x × −2 + 2 × x = 0
  3. 2 × −2 = −4
6.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
7.Expand and simplify: (x + 7)(x + 5)

Answer: x2 + 12x + 35

  1. x × x = x2
  2. x × 5 + 7 × x = 12x
  3. 7 × 5 = 35
8.Expand and simplify: (x − 7)(x − 8)

Answer: x2 − 15x + 56

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

Answer: x2 + 11x + 28

  1. x × x = x2
  2. x × 4 + 7 × x = 11x
  3. 7 × 4 = 28
10.Expand and simplify: (x − 7)(x + 8)

Answer: x2 + x − 56

  1. x × x = x2
  2. x × 8 + −7 × x = x
  3. −7 × 8 = −56
11.Expand and simplify: (x − 9)(x − 9)

Answer: x2 − 18x + 81

  1. x × x = x2
  2. x × −9 + −9 × x = −18x
  3. −9 × −9 = 81
12.Expand and simplify: (x + 6)(x − 8)

Answer: x2 − 2x − 48

  1. x × x = x2
  2. x × −8 + 6 × x = −2x
  3. 6 × −8 = −48
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