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Advanced Algebra Practice
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Advanced Algebra Practice
📚 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.
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