  # Solve Simple Equations Involving Decimals

In this worksheet, students will solve simple one-stage equations with decimals. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Solve Linear Equations (One Variable)

Popular topics:   Algebra worksheets, Year 7 Algebra worksheets

Difficulty level:   #### Worksheet Overview

When we solve algebraic equations, our aim is to end up with one letter on one side of the equals sign and one number on the other.  This is the solution.

We do this by using inverse operations to undo things that get in the way, but remember that we must do the same thing to both sides.

Example

Solve for a

5.2 - a = 10

5.2 - a + a = 10 + a

Simplify:

5.2 = 10 + a

Subtract 10 from both sides:

5.2 -10 = 10 - 10 + a

Simplify:

-4.8 = a

a = -4.8

Example

5b = 24

Divide both sides by 5:

5b ÷ 5 = 24 ÷ 5

Simplify:

b = 4.8

Example

b ÷ 5 = 20.2

Multiply both sides by 5:

b ÷ 5 x 5 = 20.2 x 5

Simplify:

b = 101

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