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Algebra Expressions Practice Test

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Algebra Expressions Practice Test worksheet preview

Algebra Expressions Practice Test

📚 Part 1: Expanding Brackets

Instructions: Expand each expression. Show your working clearly.

1. Expand: 3(x + 7)
2. Expand: -2(4y - 5)
3. Expand: 5x(2x + 3)
4. Expand and simplify: 4(x + 2) + 3(x - 1)

🔍 Part 2: Highest Common Factor (HCF)

5. Find the HCF of the following terms:

a) 12x and 18y

b) 15a²b and 25ab²

c) 8xy, 12x²y, and 20xy²

⚡ Part 3: Factorising Expressions

Instructions: Factorise each expression completely. Show your working.

6. Factorise: 6x + 9
7. Factorise: 4y² - 8y
8. Factorise: 15ab - 10a
9. Factorise: 12x²y + 18xy² - 6xy
10. Challenge: Expand 2(x + 4) - 3(x - 1), then factorise your answer.

Step 1 - Expand and simplify:

Step 2 - Factorise:

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