Class 7 Mathematics

Chapter 4: Simple Equations

STAGE 0: Foundation

An equation is a mathematical statement that shows equality. Simple equations help us find unknown values.

In daily life, equations are used to:

• Find unknown numbers
• Solve puzzles
• Calculate missing values

STAGE 1: What is an Equation?

An equation has an equals sign (=).

Example:

• x + 5 = 12
• 2y = 10

Here, x and y are unknown values.

STAGE 2: Solving Simple Equations

To solve an equation means to find the value of the unknown.

Example:

x + 7 = 15

Subtract 7 from both sides:

x = 15 − 7 = 8

STAGE 3: Equations with Multiplication

Example:

3x = 18

Divide both sides by 3:

x = 18 ÷ 3 = 6

STAGE 4: Equations with Division

Example:

x ÷ 4 = 5

Multiply both sides by 4:

x = 5 × 4 = 20

STAGE 5: Word Problems

Example:

The sum of a number and 9 is 17. Find the number.

Let the number be x.

x + 9 = 17
x = 17 − 9 = 8

STAGE 6: Practice Questions

1. Solve: x + 6 = 14
2. Solve: 5x = 25
3. Solve: x ÷ 3 = 7
4. The difference between a number and 5 is 12. Find the number.
5. The product of a number and 4 is 36. Find the number.

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Shaktimatha CBSE Learning
Class 7 Mathematics – Chapter 4: Simple Equations

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