Year 8 Expanding Brackets Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x + 2)(x − 4)
Answer: x2 − 2x − 8
- x × x = x2
- x × −4 + 2 × x = −2x
- 2 × −4 = −8
2.Expand and simplify: (x − 4)(x − 6)
Answer: x2 − 10x + 24
- x × x = x2
- x × −6 + −4 × x = −10x
- −4 × −6 = 24
3.Expand and simplify: (x + 1)(x − 7)
Answer: x2 − 6x − 7
- x × x = x2
- x × −7 + 1 × x = −6x
- 1 × −7 = −7
4.Expand and simplify: (x − 1)(x − 4)
Answer: x2 − 5x + 4
- x × x = x2
- x × −4 + −1 × x = −5x
- −1 × −4 = 4
5.Expand and simplify: (x − 4)(x + 6)
Answer: x2 + 2x − 24
- x × x = x2
- x × 6 + −4 × x = 2x
- −4 × 6 = −24
6.Expand and simplify: (x + 8)(x − 2)
Answer: x2 + 6x − 16
- x × x = x2
- x × −2 + 8 × x = 6x
- 8 × −2 = −16
7.Expand and simplify: (x + 6)(x + 2)
Answer: x2 + 8x + 12
- x × x = x2
- x × 2 + 6 × x = 8x
- 6 × 2 = 12
8.Expand and simplify: (x − 6)(x + 7)
Answer: x2 + x − 42
- x × x = x2
- x × 7 + −6 × x = x
- −6 × 7 = −42
9.Expand and simplify: (x − 1)(x + 4)
Answer: x2 + 3x − 4
- x × x = x2
- x × 4 + −1 × x = 3x
- −1 × 4 = −4
10.Expand and simplify: (x − 5)(x − 4)
Answer: x2 − 9x + 20
- x × x = x2
- x × −4 + −5 × x = −9x
- −5 × −4 = 20
11.Expand and simplify: (x − 5)(x + 3)
Answer: x2 − 2x − 15
- x × x = x2
- x × 3 + −5 × x = −2x
- −5 × 3 = −15
12.Expand and simplify: (x + 5)(x + 4)
Answer: x2 + 9x + 20
- x × x = x2
- x × 4 + 5 × x = 9x
- 5 × 4 = 20
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