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Year 9 Expanding Brackets Worksheet — Level 3 — Practice Set 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 — Practice Set 3 — Answers

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

1.Expand and simplify: (4x + 3)(x + 7)

Answer: 4x2 + 31x + 21

  1. 4x × x = 4x2
  2. 4x × 7 + 3 × x = 28x + 3x = 31x
  3. 3 × 7 = 21
2.Expand and simplify: (3x − 6)(2x − 1)

Answer: 6x2 − 15x + 6

  1. 3x × 2x = 6x2
  2. 3x × −1 + −6 × 2x = −3x + −12x = −15x
  3. −6 × −1 = 6
3.Expand and simplify: (2x − 5)(x − 7)

Answer: 2x2 − 19x + 35

  1. 2x × x = 2x2
  2. 2x × −7 + −5 × x = −14x + −5x = −19x
  3. −5 × −7 = 35
4.Expand and simplify: (4x − 6)(2x + 6)

Answer: 8x2 + 12x − 36

  1. 4x × 2x = 8x2
  2. 4x × 6 + −6 × 2x = 24x + −12x = 12x
  3. −6 × 6 = −36
5.Expand and simplify: (2x + 1)(x + 6)

Answer: 2x2 + 13x + 6

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

Answer: 6x2 − 27x + 21

  1. 2x × 3x = 6x2
  2. 2x × −3 + −7 × 3x = −6x + −21x = −27x
  3. −7 × −3 = 21
7.Expand and simplify: (2x − 7)(3x + 3)

Answer: 6x2 − 15x − 21

  1. 2x × 3x = 6x2
  2. 2x × 3 + −7 × 3x = 6x + −21x = −15x
  3. −7 × 3 = −21
8.Expand and simplify: (4x − 3)(2x − 3)

Answer: 8x2 − 18x + 9

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

Answer: 4x2 + 12x + 9

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

Answer: 2x2 − 9x + 10

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

Answer: 4x2 − 10x − 6

  1. 2x × 2x = 4x2
  2. 2x × 1 + −6 × 2x = 2x + −12x = −10x
  3. −6 × 1 = −6
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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