Year 8 Expanding Brackets Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Algebraic ExpressionsYear 8 Expanding Brackets Worksheet — Level 2 — Practice Set 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x + 8)(x − 4)
Answer: x2 + 4x − 32
- x × x = x2
- x × −4 + 8 × x = 4x
- 8 × −4 = −32
2.Expand and simplify: (x − 6)(x − 7)
Answer: x2 − 13x + 42
- x × x = x2
- x × −7 + −6 × x = −13x
- −6 × −7 = 42
3.Expand and simplify: (x + 9)(x + 8)
Answer: x2 + 17x + 72
- x × x = x2
- x × 8 + 9 × x = 17x
- 9 × 8 = 72
4.Expand and simplify: (x − 2)(x − 5)
Answer: x2 − 7x + 10
- x × x = x2
- x × −5 + −2 × x = −7x
- −2 × −5 = 10
5.Expand and simplify: (x − 8)(x − 2)
Answer: x2 − 10x + 16
- x × x = x2
- x × −2 + −8 × x = −10x
- −8 × −2 = 16
6.Expand and simplify: (x + 1)(x − 5)
Answer: x2 − 4x − 5
- x × x = x2
- x × −5 + 1 × x = −4x
- 1 × −5 = −5
7.Expand and simplify: (x − 2)(x + 9)
Answer: x2 + 7x − 18
- x × x = x2
- x × 9 + −2 × x = 7x
- −2 × 9 = −18
8.Expand and simplify: (x + 1)(x − 1)
Answer: x2 − 1
- x × x = x2
- x × −1 + 1 × x = 0
- 1 × −1 = −1
9.Expand and simplify: (x + 6)(x + 8)
Answer: x2 + 14x + 48
- x × x = x2
- x × 8 + 6 × x = 14x
- 6 × 8 = 48
10.Expand and simplify: (x − 5)(x − 2)
Answer: x2 − 7x + 10
- x × x = x2
- x × −2 + −5 × x = −7x
- −5 × −2 = 10
11.Expand and simplify: (x − 9)(x + 9)
Answer: x2 − 81
- x × x = x2
- x × 9 + −9 × x = 0
- −9 × 9 = −81
12.Expand and simplify: (x − 4)(x + 8)
Answer: x2 + 4x − 32
- x × x = x2
- x × 8 + −4 × x = 4x
- −4 × 8 = −32
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