📚 Part 1: Multiple Choice

1. Which expression is equivalent to 3x + 6?

3(x + 2)

3x + 3 + 3

x + 6

9x

2. What are the factors of x² - 9?

(x + 3)(x - 3)

(x - 9)(x + 1)

x(x - 9)

Cannot be factorised

3. If 2x + 5 = 13, what is the value of x?

x = 4

x = 6

x = 8

x = 9

4. Which inequality represents "x is greater than -2"?

x > -2

x < -2

x ≥ -2

x ≤ -2

✏️ Part 2: Problem Solving

5. Solve the quadratic equation: x² - 5x + 6 = 0

6. Factorise completely: 2x² + 8x + 6

7. Solve the inequality: 3x - 7 ≤ 14

8. A rectangle has a length of (x + 4) metres and a width of (x - 2) metres. Write an expression for the area of the rectangle in expanded form.

🎯 Part 3: Challenge Problems

9. If the area of a square garden is (x² + 10x + 25) square metres, what is the length of each side? (Hint: factorise first)

10. Sarah is x years old. Her brother is 3 years younger. The sum of their ages is greater than 25. Write and solve an inequality to find the possible values of x.

Advanced Algebra Practice

Advanced Algebra Practice

📚 Part 1: Multiple Choice

✏️ Part 2: Problem Solving

🎯 Part 3: Challenge Problems

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