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Algebra Practice Worksheet
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Algebra Practice Worksheet
Part 1: Algebraic Thinking
1. Simplify: 3x + 5x − 2.
8x − 2
8x + 2
15x − 2
3x + 3
2. Expand: 4(2x − 3).
8x − 3
8x − 12
6x − 12
8x + 12
3. Factorise fully: 6x + 18.
6(x + 3)
3(2x + 18)
6(x + 18)
18(x + 6)
4. If y = 3x − 2, find y when x = 5.
10
13
15
17
Part 2: Solve and Show Your Working
5. Solve: 3x + 7 = 25.
6. Solve: 5(2x − 1) = 35.
7. Solve: 4x − 3 < 17. Write your answer as an inequality.
8. Solve simultaneously: y = x + 2 and y = 3x − 4.
Part 3: Algebra in Context
9. A rectangle has a length of (x + 4) cm and a width of x cm. Write an expression for its perimeter and simplify it.
10. A taxi fare costs $4.50 plus $2.20 per kilometre. Write a formula for the cost, C, for k kilometres. Then find the cost of a 7 km journey.
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