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Year 9 Expanding Brackets Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

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

Answer: 3x2 + 14x − 49

  1. 3x × x = 3x2
  2. 3x × 7 + −7 × x = 21x + −7x = 14x
  3. −7 × 7 = −49
2.Expand and simplify: (4x + 7)(3x + 1)

Answer: 12x2 + 25x + 7

  1. 4x × 3x = 12x2
  2. 4x × 1 + 7 × 3x = 4x + 21x = 25x
  3. 7 × 1 = 7
3.Expand and simplify: (4x + 2)(x + 7)

Answer: 4x2 + 30x + 14

  1. 4x × x = 4x2
  2. 4x × 7 + 2 × x = 28x + 2x = 30x
  3. 2 × 7 = 14
4.Expand and simplify: (2x + 5)(3x + 2)

Answer: 6x2 + 19x + 10

  1. 2x × 3x = 6x2
  2. 2x × 2 + 5 × 3x = 4x + 15x = 19x
  3. 5 × 2 = 10
5.Expand and simplify: (4x − 4)(3x − 7)

Answer: 12x2 − 40x + 28

  1. 4x × 3x = 12x2
  2. 4x × −7 + −4 × 3x = −28x + −12x = −40x
  3. −4 × −7 = 28
6.Expand and simplify: (2x + 1)(2x + 4)

Answer: 4x2 + 10x + 4

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

Answer: 12x2 − 12

  1. 4x × 3x = 12x2
  2. 4x × 3 + −4 × 3x = 12x + −12x = 0
  3. −4 × 3 = −12
8.Expand and simplify: (3x + 2)(x + 6)

Answer: 3x2 + 20x + 12

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

Answer: 6x2 − 5x − 4

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

Answer: 12x2 − 13x + 3

  1. 4x × 3x = 12x2
  2. 4x × −1 + −3 × 3x = −4x + −9x = −13x
  3. −3 × −1 = 3
11.Expand and simplify: (2x − 7)(2x + 4)

Answer: 4x2 − 6x − 28

  1. 2x × 2x = 4x2
  2. 2x × 4 + −7 × 2x = 8x + −14x = −6x
  3. −7 × 4 = −28
12.Expand and simplify: (4x − 2)(x − 1)

Answer: 4x2 − 6x + 2

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