Chapter 15 · CBSE Class 7 Maths (NCERT Ganita Prakash Part 2)

Finding the Unknown

Bring together everything you've learned to solve linear equations — the final chapter of your Class 7 journey!

🔍 Chapter 15

15.1

Solving Equations Step by Step

To solve an equation, isolate the unknown by performing the same operation on both sides, working in reverse order of how the expression was built.

1

Solve: 3x + 7 = 22

3x = 15, so x = 5

2

Solve: 2(x + 4) = 18

x + 4 = 9, so x = 5

15.2

Setting Up Equations from Word Problems

Real situations become solvable once translated into an equation — assign a letter to the unknown, then write an equation matching the relationships described.

1

A number increased by 12 equals 30. Find the number.

x + 12 = 30, so x = 18

2

Twice a number, decreased by 9, equals 15. Find the number.

2x − 9 = 15, so 2x = 24, x = 12

Practice

Exercises

1. Solve: 5x − 6 = 19

2. Solve: 4(x − 2) = 20

3. A number decreased by 15 equals 27. Find the number.

4. Three times a number, increased by 8, equals 32. Find the number.

5. A rectangle's length is twice its width, and its perimeter is 36cm. Find the width.

🏆🎉 Incredible! You've completed all 15 chapters of CBSE Class 7 Ganita Prakash! 🎉🏆

From Large Numbers Around Us to Finding the Unknown — the entire Class 7 Maths book, both Part 1 and Part 2, is done. Onwards to new challenges!

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