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Year 9 Expanding Brackets Worksheet — Level 3 — Answers

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

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic Expressions

Year 9 Expanding Brackets Worksheet — Level 3 — Answers

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

1.Expand and simplify: (3x + 5)(2x − 6)

Answer: 6x2 − 8x − 30

  1. 3x × 2x = 6x2
  2. 3x × −6 + 5 × 2x = −18x + 10x = −8x
  3. 5 × −6 = −30
2.Expand and simplify: (4x − 1)(x − 2)

Answer: 4x2 − 9x + 2

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

Answer: 8x2 − 18x − 18

  1. 4x × 2x = 8x2
  2. 4x × −6 + 3 × 2x = −24x + 6x = −18x
  3. 3 × −6 = −18
4.Expand and simplify: (4x + 3)(3x + 4)

Answer: 12x2 + 25x + 12

  1. 4x × 3x = 12x2
  2. 4x × 4 + 3 × 3x = 16x + 9x = 25x
  3. 3 × 4 = 12
5.Expand and simplify: (4x − 3)(x + 1)

Answer: 4x2 + x − 3

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

Answer: 12x2 − 13x − 14

  1. 4x × 3x = 12x2
  2. 4x × 2 + −7 × 3x = 8x + −21x = −13x
  3. −7 × 2 = −14
7.Expand and simplify: (3x + 4)(3x + 6)

Answer: 9x2 + 30x + 24

  1. 3x × 3x = 9x2
  2. 3x × 6 + 4 × 3x = 18x + 12x = 30x
  3. 4 × 6 = 24
8.Expand and simplify: (3x + 4)(2x − 7)

Answer: 6x2 − 13x − 28

  1. 3x × 2x = 6x2
  2. 3x × −7 + 4 × 2x = −21x + 8x = −13x
  3. 4 × −7 = −28
9.Expand and simplify: (2x − 7)(3x + 6)

Answer: 6x2 − 9x − 42

  1. 2x × 3x = 6x2
  2. 2x × 6 + −7 × 3x = 12x + −21x = −9x
  3. −7 × 6 = −42
10.Expand and simplify: (3x + 5)(x + 2)

Answer: 3x2 + 11x + 10

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

Answer: 3x2 + 6x − 9

  1. 3x × x = 3x2
  2. 3x × 3 + −3 × x = 9x + −3x = 6x
  3. −3 × 3 = −9
12.Expand and simplify: (4x − 1)(2x − 1)

Answer: 8x2 − 6x + 1

  1. 4x × 2x = 8x2
  2. 4x × −1 + −1 × 2x = −4x + −2x = −6x
  3. −1 × −1 = 1
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