Year 10 Expanding Brackets Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic ExpressionsYear 10 Expanding Brackets Worksheet — Level 2 — Practice Set 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x + 4)(x − 7)
Answer: x2 − 3x − 28
- x × x = x2
- x × −7 + 4 × x = −3x
- 4 × −7 = −28
2.Expand and simplify: (x + 8)(x + 7)
Answer: x2 + 15x + 56
- x × x = x2
- x × 7 + 8 × x = 15x
- 8 × 7 = 56
3.Expand and simplify: (x + 9)(x + 5)
Answer: x2 + 14x + 45
- x × x = x2
- x × 5 + 9 × x = 14x
- 9 × 5 = 45
4.Expand and simplify: (x + 2)(x − 2)
Answer: x2 − 4
- x × x = x2
- x × −2 + 2 × x = 0
- 2 × −2 = −4
5.Expand and simplify: (x + 4)(x − 4)
Answer: x2 − 16
- x × x = x2
- x × −4 + 4 × x = 0
- 4 × −4 = −16
6.Expand and simplify: (x + 1)(x + 3)
Answer: x2 + 4x + 3
- x × x = x2
- x × 3 + 1 × x = 4x
- 1 × 3 = 3
7.Expand and simplify: (x − 3)(x − 8)
Answer: x2 − 11x + 24
- x × x = x2
- x × −8 + −3 × x = −11x
- −3 × −8 = 24
8.Expand and simplify: (x + 8)(x + 5)
Answer: x2 + 13x + 40
- x × x = x2
- x × 5 + 8 × x = 13x
- 8 × 5 = 40
9.Expand and simplify: (x − 4)(x − 6)
Answer: x2 − 10x + 24
- x × x = x2
- x × −6 + −4 × x = −10x
- −4 × −6 = 24
10.Expand and simplify: (x − 7)(x − 7)
Answer: x2 − 14x + 49
- x × x = x2
- x × −7 + −7 × x = −14x
- −7 × −7 = 49
11.Expand and simplify: (x − 5)(x − 5)
Answer: x2 − 10x + 25
- x × x = x2
- x × −5 + −5 × x = −10x
- −5 × −5 = 25
12.Expand and simplify: (x − 5)(x − 2)
Answer: x2 − 7x + 10
- x × x = x2
- x × −2 + −5 × x = −7x
- −5 × −2 = 10
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