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Year 11 Expanding Brackets Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 11 algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Algebraic Expressions

Year 11 Expanding Brackets Worksheet — Level 3 — Answers

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

1.Expand and simplify: (2x + 4)(x − 6)

Answer: 2x2 − 8x − 24

  1. 2x × x = 2x2
  2. 2x × −6 + 4 × x = −12x + 4x = −8x
  3. 4 × −6 = −24
2.Expand and simplify: (2x + 4)(x − 5)

Answer: 2x2 − 6x − 20

  1. 2x × x = 2x2
  2. 2x × −5 + 4 × x = −10x + 4x = −6x
  3. 4 × −5 = −20
3.Expand and simplify: (3x − 6)(2x + 6)

Answer: 6x2 + 6x − 36

  1. 3x × 2x = 6x2
  2. 3x × 6 + −6 × 2x = 18x + −12x = 6x
  3. −6 × 6 = −36
4.Expand and simplify: (4x − 3)(3x + 1)

Answer: 12x2 − 5x − 3

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

Answer: 2x2 + 2x − 4

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

Answer: 8x2 + 10x + 2

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

Answer: 2x2 − 2x − 12

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

Answer: 6x2 − 15x − 21

  1. 3x × 2x = 6x2
  2. 3x × −7 + 3 × 2x = −21x + 6x = −15x
  3. 3 × −7 = −21
9.Expand and simplify: (3x + 6)(x − 1)

Answer: 3x2 + 3x − 6

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

Answer: 2x2 − 10x + 8

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

Answer: 4x2 − 4

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

Answer: 8x2 + 14x + 6

  1. 4x × 2x = 8x2
  2. 4x × 2 + 3 × 2x = 8x + 6x = 14x
  3. 3 × 2 = 6
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