CLASS 7 · FREE LEARNING CORNER

Integers, equations & percentages

Connect operations with signs, fractions, proportions and simple equations.

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अपना Maths Level जानें

Five questions. No timer, no registration. Keep a notebook nearby and show your working. This is a small practice snapshot, not a full assessment or rank prediction.

CLASS 7 · SAMPLE MODULE

Understand. Work it out. Check.

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One idea to remember

An equation is a balance. Adding, subtracting, multiplying or dividing both sides by the same allowed value keeps it balanced. First undo addition or subtraction, then multiplication or division.

Worked example: Solve 3x + 4 = 19.

Subtract 4 from both sides: 3x = 15.
Divide both sides by 3: x = 5.
Check in the original equation: 3 × 5 + 4 = 19.

Your turn

Write your method before opening the answer. These original questions are for practice, not official past-exam papers.

1. A ₹500 item is discounted by 20%. Find the new price.

Show answer & explanation

₹400

Discount = 20/100 × 500 = ₹100. New price = ₹500 − ₹100 = ₹400.

2. Solve 5y + 2 = 27.

Show answer & explanation

Subtract 2: 5y = 25. Divide by 5: y = 5.

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