Solve equations with one-step
1. What is a One-Step Equation?

An equation is like a balanced scale. It says that the value on the left side is exactly the same as the value on the right side. A 'one-step' equation means you only need to perform one mathematical operation to find the value of the missing variable (usually x).

The Golden Rule of Algebra: Whatever you do to one side of the equation, you MUST do to the other side to keep it balanced.

2. Inverse Operations

To solve an equation, we use the 'opposite' or inverse operation to isolate the variable (get it by itself).

Operation in Equation

Inverse (Opposite) Operation

Addition (+)

Subtraction (-)

Subtraction (-)

Addition (+)

Multiplication (x)

Division (÷)

Division (÷)

Multiplication (x)

3. Step-by-Step Examples

Example 1: Addition

Equation: x + 8 = 15

Step: Subtract 8 from both sides.

Result: x = 7

Example 2: Subtraction

Equation: y - 5 = 12

Step: Add 5 to both sides.

Result: y = 17

Example 3: Multiplication

Equation: 4m = 20

Step: Divide both sides by 4.

Result: m = 5

Example 4: Division

Equation: z / 3 = 6

Step: Multiply both sides by 3.

Result: z = 18

5. Helpful Resources for Students:

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