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Linear Equations Practice Worksheet

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Linear Equations Practice Worksheet

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📚 Part 1: Solving Linear Equations

1. Solve for x:

3x + 5 = 20

2. Solve for y:

2y - 8 = 16

3. Which equation is equivalent to 4x + 12 = 24?

x + 12 = 6

4x = 12

x = 3

4x = -12

✏️ Part 2: Word Problems

4. Sarah has $84 and saves $12 each week. Write an equation to find how many weeks (w) it will take her to save $180.

Equation:

5. The temperature drops 2°C every hour from a starting temperature of 15°C. Write and solve an equation to find how many hours (h) it will take to reach 5°C.

Equation:

Solution:

🎯 Part 3: Challenge Problem

6. A rectangle has a perimeter of 36 centimetres. Its length is 3 centimetres more than twice its width. Write and solve an equation to find the width (w).

Equation:

Width =

cm

Length =

cm

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