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Equations and Balance Basics

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Equations and Balance Basics worksheet preview

Equations and Balance Basics

📚 Part 1: Understanding Equation Parts

1. Circle the variable (unknown) in each equation:

a) x + 3 = 7

b) 5 - y = 2

c) 4 + z = 9

2. What does each part mean? Match by drawing lines:
Variable
Constant
Operator
A fixed number like 3 or 7
Signs like + or -
A number we don't know yet
3. Fill in the missing numbers to balance these equations:

a) 2 + ____ = 5

b) ____ - 1 = 3

c) 6 + ____ = 10

d) 8 - ____ = 5

⚖️ Part 2: Balance and Problem Solving

4. Draw counters or blocks to show how you would solve x + 3 = 7:
5. Which equations are balanced? Tick the correct ones:

4 + 2 = 6

3 + 5 = 9

7 - 2 = 5

6 + 1 = 8

6. Create your own equation using the numbers 2, 5, and 7. Show that both sides balance:
7. Explain in your own words: What does it mean for an equation to be "balanced"?

🌟 Part 3: Challenge Activities

8. Extension: Can you solve this trickier equation? Show your working:

x + 4 = 2 + 5

9. Write a word problem that matches the equation 3 + x = 8:

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