MathsFreePrintable
One-Step Linear Equations
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One-Step Linear Equations
🎯 Part 1: Understanding Inverse Operations
1. Match each operation with its inverse operation:
1. Addition (+)
2. Subtraction (−)
3. Multiplication (×)
4. Division (÷)
A. Division (÷)
B. Addition (+)
C. Multiplication (×)
D. Subtraction (−)
2. Circle the correct inverse operation needed to solve x + 8 = 15:
Add 8 to both sides
Subtract 8 from both sides
Multiply both sides by 8
Divide both sides by 8
📝 Part 2: Solving Addition and Subtraction Equations
3. Solve: x + 9 = 17
4. Solve: y − 6 = 14
5. Solve: m + 12 = 25
6. Solve: n − 8 = 13
✖️➗ Part 3: Solving Multiplication and Division Equations
7. Solve: 4x = 28
8. Solve: y ÷ 5 = 7 (or y/5 = 7)
9. Solve: 6m = 42
10. Solve: p ÷ 3 = 9
🔍 Part 4: Check Your Solutions
11. Check if x = 7 is the correct solution for x + 5 = 12. Show your working:
12. Check if y = 4 is the correct solution for 3y = 15. Show your working:
13. Fill in the blanks to complete the solution steps:
To solve x − 7 = 15:
Step 1: x − 7 = 15
Step 2: x − 7 _______ = 15 _______
Step 3: x = _______
🌟 Part 5: Real-Life Applications
14. Sarah has some stickers. After giving away 8 stickers, she has 15 left. How many stickers did she start with?
Write the equation: ________________
15. A packet of lollies costs $3. If Tom spent $21 on lollies, how many packets did he buy?
Write the equation: ________________
16. The temperature increased by 8°C during the day. If the final temperature was 23°C, what was the starting temperature?
Write the equation: ________________
💭 Part 6: Reflection
17. Which type of one-step equation do you find easiest to solve? Explain why:
18. What is the most important thing to remember when solving one-step linear equations?
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