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Exploring Equations
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Exploring Equations
📚 Part 1: Equation Types
1. Which of these is a linear equation?
x² + 3x = 10
2x + 5 = 11
x³ - 4 = 0
x² - 9 = 0
2. Which of these is a quadratic equation?
3x + 7 = 16
x² - 5x + 6 = 0
2x - 3 = 9
x + 8 = 12
3. Check all the characteristics of linear equations:
The variable has a power of 1
The variable has a power of 2
They have one solution
They can have two solutions
✏️ Part 2: Solving Linear Equations
4. Solve: 2x + 3 = 11
x = _______
5. Solve: x + 4 = 8
x = _______
6. Solve: 3x - 6 = 15
x = _______
7. Solve: 5x + 2 = 17
x = _______
🎯 Part 3: Quadratic Equations
8. Solve by factorising: x² - 5x + 6 = 0
x = _______ or x = _______
9. What are the 'roots' of a quadratic equation?
10. Reflection: How do equations help us make sense of patterns in maths and beyond?
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