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Algebra Mastery Assessment
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Algebra Mastery Assessment
📚 Part 1: Algebraic Concepts and Linear Equations
1. Which of the following is an equation?
3x + 5
3x + 5 = 14
3x + 5 ≡ 3(x + 1) + 2
3x + 5 > 10
2. Solve: 4x - 7 = 2x + 9
3. Expand: (x + 4)(x - 3)
4. Solve the inequality: 5x + 3 < 18
🔢 Part 2: Factorisation and Quadratic Equations
5. Factorise completely: x² + 7x + 12
6. Solve by factorisation: x² - 5x - 6 = 0
7. Factorise: 3x² - 12x
8. Make h the subject of the formula: A = πr²h
🎯 Part 3: Problem Solving
9. A rectangle has length (2x + 3) metres and width (x - 1) metres. If the area is 35 square metres, find the value of x.
10. Sarah thinks of a number. She multiplies it by 3, then subtracts 8. Her answer is the same as twice the number plus 7. What number did Sarah think of?
11. Explain the difference between an expression and an equation. Give an example of each.
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