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Year 9 Expanding Brackets Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.

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Year 9 · Mathematics · Algebraic Expressions

Year 9 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 + 3)(x − 7)

Answer: x2 − 4x − 21

  1. x × x = x2
  2. x × −7 + 3 × x = −4x
  3. 3 × −7 = −21
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 − 5)(x − 4)

Answer: x2 − 9x + 20

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

Answer: x2 − 4x − 45

  1. x × x = x2
  2. x × −9 + 5 × x = −4x
  3. 5 × −9 = −45
5.Expand and simplify: (x − 7)(x − 3)

Answer: x2 − 10x + 21

  1. x × x = x2
  2. x × −3 + −7 × x = −10x
  3. −7 × −3 = 21
6.Expand and simplify: (x + 6)(x − 4)

Answer: x2 + 2x − 24

  1. x × x = x2
  2. x × −4 + 6 × x = 2x
  3. 6 × −4 = −24
7.Expand and simplify: (x − 3)(x + 8)

Answer: x2 + 5x − 24

  1. x × x = x2
  2. x × 8 + −3 × x = 5x
  3. −3 × 8 = −24
8.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
9.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
10.Expand and simplify: (x + 6)(x + 4)

Answer: x2 + 10x + 24

  1. x × x = x2
  2. x × 4 + 6 × x = 10x
  3. 6 × 4 = 24
11.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
12.Expand and simplify: (x + 5)(x − 3)

Answer: x2 + 2x − 15

  1. x × x = x2
  2. x × −3 + 5 × x = 2x
  3. 5 × −3 = −15
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