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Solving Linear Equations

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Solving Linear Equations

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📚 Part 1: Solve These Equations

1. Solve for x: 3x + 5 = 20
2. Solve for y: 2y - 8 = 16
3. Solve: 4x + 3 = 15
4. Find x: -2x + 7 = -5

✏️ Part 2: Word Problems

5. Sarah has $84 and spends x dollars on lunch each day. After 7 days, she has $35 left. Write and solve an equation to find how much she spends on lunch each day.
6. The temperature in Auckland drops by 2°C each hour from a high of 24°C. Write an equation to find how many hours (h) it takes to reach 16°C.
7. A rectangle's length is 3 times its width. If the perimeter is 48 centimetres, write and solve an equation to find the width.

🤔 Part 3: Check Your Understanding

8. Which steps would you use to solve 5x - 3 = 12?

Add 3 to both sides, then divide by 5

Subtract 3 from both sides, then divide by 5

Add 3 to both sides, then multiply by 5

Subtract 3 from both sides, then multiply by 5

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