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 + 5)(x + 3)
Answer: x2 + 8x + 15
- x × x = x2
- x × 3 + 5 × x = 8x
- 5 × 3 = 15
2.Expand and simplify: (x − 5)(x + 8)
Answer: x2 + 3x − 40
- x × x = x2
- x × 8 + −5 × x = 3x
- −5 × 8 = −40
3.Expand and simplify: (x − 2)(x − 2)
Answer: x2 − 4x + 4
- x × x = x2
- x × −2 + −2 × x = −4x
- −2 × −2 = 4
4.Expand and simplify: (x − 7)(x − 1)
Answer: x2 − 8x + 7
- x × x = x2
- x × −1 + −7 × x = −8x
- −7 × −1 = 7
5.Expand and simplify: (x − 8)(x + 6)
Answer: x2 − 2x − 48
- x × x = x2
- x × 6 + −8 × x = −2x
- −8 × 6 = −48
6.Expand and simplify: (x + 5)(x − 8)
Answer: x2 − 3x − 40
- x × x = x2
- x × −8 + 5 × x = −3x
- 5 × −8 = −40
7.Expand and simplify: (x + 8)(x + 2)
Answer: x2 + 10x + 16
- x × x = x2
- x × 2 + 8 × x = 10x
- 8 × 2 = 16
8.Expand and simplify: (x − 5)(x + 3)
Answer: x2 − 2x − 15
- x × x = x2
- x × 3 + −5 × x = −2x
- −5 × 3 = −15
9.Expand and simplify: (x − 9)(x + 1)
Answer: x2 − 8x − 9
- x × x = x2
- x × 1 + −9 × x = −8x
- −9 × 1 = −9
10.Expand and simplify: (x + 7)(x − 9)
Answer: x2 − 2x − 63
- x × x = x2
- x × −9 + 7 × x = −2x
- 7 × −9 = −63
11.Expand and simplify: (x + 2)(x − 9)
Answer: x2 − 7x − 18
- x × x = x2
- x × −9 + 2 × x = −7x
- 2 × −9 = −18
12.Expand and simplify: (x + 6)(x − 6)
Answer: x2 − 36
- x × x = x2
- x × −6 + 6 × x = 0
- 6 × −6 = −36
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