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Multi-Step Equations Practice

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Multi-Step Equations Practice worksheet preview
Multi-Step Equations Practice

Multi-Step Equations Practice

Mathematical operations illustration

🔢 Part 1: Understanding Operations

1. Look at this equation: 8 + 5 = 13

What operation is being used? Circle your answer:

Addition (putting together)

Subtraction (taking away)

Multiplication (groups of)

Division (sharing)

2. Match each operation with what it does:
1. Addition (+)
2. Subtraction (-)
3. Multiplication (×)
4. Division (÷)
A. Taking away or finding the difference
B. Sharing equally or making groups
C. Putting together or combining
D. Making equal groups or repeated addition

🎯 Part 2: Simple Multi-Step Equations

3. Solve this step by step: 15 - 6 + 4 = ____

Step 1: First, work from left to right

15 - 6 = ____

Step 2: Then add 4

____ + 4 = ____

4. Use the number line to help solve: 12 - 3 - 5 = ____

My answer: ____

5. Solve: 7 + 8 - 6 = ____

🧮 Part 3: Order of Operations (GEMA)

6. Remember GEMA: Grouping, Exponents, Multiplication/Division, Addition/Subtraction

Solve: (5 + 3) × 2 = ____

Step 1: Do the grouping first: 5 + 3 = ____

Step 2: Then multiply: ____ × 2 = ____

7. Which operation should you do first? Circle the correct answer:

In the equation: 4 + 6 × 2

Addition first (4 + 6)

Multiplication first (6 × 2)

8. Now solve: 4 + 6 × 2 = ____

💭 Part 4: Explain Your Thinking

9. Solve this equation and explain each step: 20 ÷ 4 + 3 × 2

My working:

Explain why you did each step:

10. Check all the operations you can see in this equation: 15 - (3 + 2) × 2

Addition

Subtraction

Multiplication

Division

Grouping (brackets)

🤝 Part 5: Peer Feedback Activity

11. Work with a partner. Create your own multi-step equation using addition and subtraction:

My equation: _________________ = ____

12. Swap with your partner and solve their equation. Show your working:
13. Give feedback to your partner:

What did they do well?

What could they improve?

🌟 Part 6: Real-World Problems

14. At the school tuck shop, Sarah buys a pie for $3, a drink for $2, then gets $1 change from her $10 note. Write an equation to show this:
15. The temperature was 18°C in the morning. It went up 7°C by lunch, then dropped 4°C by evening. What was the evening temperature?

My equation: _________________

My answer: ____ °C

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