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Hanger Diagrams & Balanced Equations — Easy Worksheet 1
Grade 7 · MathSheets Name: ____________________ Date: __________
The hanger is balanced, so both sides weigh the same. Write the equation in your head and find x.
How to solve
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Example
The tape diagram shows 2 parts of x and 10 more, making 14. Find x.
Answer: 2
✓ Correct!
Not quite. The answer is
💡 How to solve: Hanger Diagrams & Balanced Equations
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Try a similar one
Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Hanger Diagrams & Balanced Equations
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Try a similar one
Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Hanger Diagrams & Balanced Equations
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Try a similar one
Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Hanger Diagrams & Balanced Equations
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Try a similar one
The tape diagram shows 3 parts of x and 4 more, making 10. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Hanger Diagrams & Balanced Equations
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Try a similar one
Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Hanger Diagrams & Balanced Equations
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Try a similar one
The tape diagram shows 4 parts of x and 3 more, making 39. Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Hanger Diagrams & Balanced Equations
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Try a similar one
Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Hanger Diagrams & Balanced Equations
A balanced hanger means both sides are equal. Take the same amount off both sides and it stays balanced. For 3x + 4 = 19, take 4 off both sides: 3x = 15. Split both sides into 3 equal groups: x = 5. For 2(x + 3) = 16, split into 2 groups first: x + 3 = 8, so x = 5.
Try a similar one
Find x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Hanger Diagrams & Balanced Equations — Easy Worksheet 1
The hanger is balanced, so both sides weigh the same. Write the equation in your head and find x.