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Year 10 Expanding Brackets Worksheet — Level 2 (Set 2) — 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 2 (Set 2) — Answers

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

1.Expand and simplify: (x − 3)(x + 1)

Answer: x2 − 2x − 3

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

Answer: x2 − 3x − 54

  1. x × x = x2
  2. x × 6 + −9 × x = −3x
  3. −9 × 6 = −54
3.Expand and simplify: (x + 8)(x − 9)

Answer: x2 − x − 72

  1. x × x = x2
  2. x × −9 + 8 × x = −x
  3. 8 × −9 = −72
4.Expand and simplify: (x + 6)(x − 5)

Answer: x2 + x − 30

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

Answer: x2 − 49

  1. x × x = x2
  2. x × 7 + −7 × x = 0
  3. −7 × 7 = −49
6.Expand and simplify: (x + 7)(x − 7)

Answer: x2 − 49

  1. x × x = x2
  2. x × −7 + 7 × x = 0
  3. 7 × −7 = −49
7.Expand and simplify: (x + 6)(x + 8)

Answer: x2 + 14x + 48

  1. x × x = x2
  2. x × 8 + 6 × x = 14x
  3. 6 × 8 = 48
8.Expand and simplify: (x + 8)(x + 1)

Answer: x2 + 9x + 8

  1. x × x = x2
  2. x × 1 + 8 × x = 9x
  3. 8 × 1 = 8
9.Expand and simplify: (x − 6)(x + 5)

Answer: x2 − x − 30

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

Answer: x2 − x − 2

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

Answer: x2 − 8x − 9

  1. x × x = x2
  2. x × 1 + −9 × x = −8x
  3. −9 × 1 = −9
12.Expand and simplify: (x + 6)(x + 5)

Answer: x2 + 11x + 30

  1. x × x = x2
  2. x × 5 + 6 × x = 11x
  3. 6 × 5 = 30
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