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Year 10 Expanding Brackets Worksheet — Level 3 — Practice Set 3 — Answers

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

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic Expressions

Year 10 Expanding Brackets Worksheet — Level 3 — Practice Set 3 — Answers

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

1.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
2.Expand and simplify: (3x − 4)(3x − 4)

Answer: 9x2 − 24x + 16

  1. 3x × 3x = 9x2
  2. 3x × −4 + −4 × 3x = −12x + −12x = −24x
  3. −4 × −4 = 16
3.Expand and simplify: (3x + 2)(3x − 5)

Answer: 9x2 − 9x − 10

  1. 3x × 3x = 9x2
  2. 3x × −5 + 2 × 3x = −15x + 6x = −9x
  3. 2 × −5 = −10
4.Expand and simplify: (4x − 3)(2x + 7)

Answer: 8x2 + 22x − 21

  1. 4x × 2x = 8x2
  2. 4x × 7 + −3 × 2x = 28x + −6x = 22x
  3. −3 × 7 = −21
5.Expand and simplify: (3x − 2)(2x + 3)

Answer: 6x2 + 5x − 6

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

Answer: 9x2 − 24x + 15

  1. 3x × 3x = 9x2
  2. 3x × −3 + −5 × 3x = −9x + −15x = −24x
  3. −5 × −3 = 15
7.Expand and simplify: (3x − 5)(x + 7)

Answer: 3x2 + 16x − 35

  1. 3x × x = 3x2
  2. 3x × 7 + −5 × x = 21x + −5x = 16x
  3. −5 × 7 = −35
8.Expand and simplify: (3x − 1)(3x − 2)

Answer: 9x2 − 9x + 2

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

Answer: 3x2 + 12x + 9

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

Answer: 12x2 + 27x + 6

  1. 4x × 3x = 12x2
  2. 4x × 6 + 1 × 3x = 24x + 3x = 27x
  3. 1 × 6 = 6
11.Expand and simplify: (4x − 6)(3x − 5)

Answer: 12x2 − 38x + 30

  1. 4x × 3x = 12x2
  2. 4x × −5 + −6 × 3x = −20x + −18x = −38x
  3. −6 × −5 = 30
12.Expand and simplify: (2x − 3)(x − 4)

Answer: 2x2 − 11x + 12

  1. 2x × x = 2x2
  2. 2x × −4 + −3 × x = −8x + −3x = −11x
  3. −3 × −4 = 12
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