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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: (4x − 4)(x − 5)

Answer: 4x2 − 24x + 20

  1. 4x × x = 4x2
  2. 4x × −5 + −4 × x = −20x + −4x = −24x
  3. −4 × −5 = 20
2.Expand and simplify: (4x − 1)(x + 6)

Answer: 4x2 + 23x − 6

  1. 4x × x = 4x2
  2. 4x × 6 + −1 × x = 24x + −x = 23x
  3. −1 × 6 = −6
3.Expand and simplify: (4x + 7)(3x − 6)

Answer: 12x2 − 3x − 42

  1. 4x × 3x = 12x2
  2. 4x × −6 + 7 × 3x = −24x + 21x = −3x
  3. 7 × −6 = −42
4.Expand and simplify: (3x − 4)(x − 5)

Answer: 3x2 − 19x + 20

  1. 3x × x = 3x2
  2. 3x × −5 + −4 × x = −15x + −4x = −19x
  3. −4 × −5 = 20
5.Expand and simplify: (3x − 1)(3x + 4)

Answer: 9x2 + 9x − 4

  1. 3x × 3x = 9x2
  2. 3x × 4 + −1 × 3x = 12x + −3x = 9x
  3. −1 × 4 = −4
6.Expand and simplify: (2x − 5)(x − 6)

Answer: 2x2 − 17x + 30

  1. 2x × x = 2x2
  2. 2x × −6 + −5 × x = −12x + −5x = −17x
  3. −5 × −6 = 30
7.Expand and simplify: (3x − 7)(3x − 5)

Answer: 9x2 − 36x + 35

  1. 3x × 3x = 9x2
  2. 3x × −5 + −7 × 3x = −15x + −21x = −36x
  3. −7 × −5 = 35
8.Expand and simplify: (4x + 4)(x − 5)

Answer: 4x2 − 16x − 20

  1. 4x × x = 4x2
  2. 4x × −5 + 4 × x = −20x + 4x = −16x
  3. 4 × −5 = −20
9.Expand and simplify: (3x − 1)(2x + 1)

Answer: 6x2 + x − 1

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

Answer: 6x2 + 6x − 12

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

Answer: 3x2 − x − 10

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

Answer: 2x2 + 9x + 9

  1. 2x × x = 2x2
  2. 2x × 3 + 3 × x = 6x + 3x = 9x
  3. 3 × 3 = 9
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