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Linear Equations Practice

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Linear Equations Practice worksheet preview
Linear Equations Practice

Linear Equations Practice

Linear equations illustration

📊 Part 1: Solving One-Step Linear Equations

1. Solve: t + 7 = 12

Check your answer: ________________

2. Solve: 2s = 14

Check your answer: ________________

3. Solve: x - 4 = 9

Check your answer: ________________

4. Solve: 3y = 21

Check your answer: ________________

5. Solve: b ÷ 2 = 7

Check your answer: ________________

🔢 Part 2: Solving Two-Step Linear Equations

6. Solve: 5s + 3 = 18

Check your answer: ________________

7. Solve: 4a - 5 = 11

Check your answer: ________________

8. Solve: 6c + 2 = 20

Check your answer: ________________

9. Solve: 7e = 35

Check your answer: ________________

10. Challenge: Solve: d - 3 = 2d + 5

Check your answer: ________________

📝 Part 3: Word Problems to Equations

11. Sarah has some stickers. After giving away 8 stickers, she has 15 left. How many stickers did she start with?

Write the equation: ________________

Answer: Sarah started with _______ stickers.

12. A taxi ride costs $3.50 plus $2.20 per kilometre. If the total cost was $14.30, how many kilometres was the trip?

Write the equation: ________________

Answer: The trip was _______ kilometres.

13. Jake bought 4 identical books and paid $6 for postage. The total cost was $38. How much did each book cost?

Write the equation: ________________

Answer: Each book cost $________.

🎯 Part 4: Understanding Linear Equations

14. Which of these are linear equations? Check all that apply:

3x + 5 = 14

x² + 2 = 10

2y - 7 = 9

5/x = 15

4z = 20

15. What does the equal sign (=) represent in an equation?

Addition

Balance or "the same as"

Greater than

Subtraction

16. Match each equation with its inverse operation for checking:
1. x + 5 = 12
2. 3y = 15
3. z - 4 = 8
4. w ÷ 2 = 6
A. Multiply by 2
B. Subtract 5
C. Divide by 3
D. Add 4

💭 Part 5: Reflection

17. Explain in your own words how to solve a two-step linear equation:
18. Why is it important to check your answer using inverse operations?
19. Create your own word problem that can be solved using a linear equation:

Write the equation for your problem: ________________

Solution: ________________

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