  # Solve Two-Stage Equations

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

Curriculum topic:   Algebra

Curriculum subtopic:   Solve Linear Equations (One Variable)

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

5b + 3 = 23

Subtract 3 from both sides:

5b + 3 - 3 = 23 - 3

Simplify:

5b = 20

Divide both sides by 5:

5b ÷ 5 = 20 ÷ 5

Simplify:

b = 4

Example

b/5 - 3 = 17

b/5 - 3 + 3 = 17 + 3

Simplify:

b/5 = 20

Multiply both sides by 5:

b ÷ 5 x 5 = 20 x 5

Simplify:

b = 100

Example

Solve for a

5 - a = 10

5 - a + a = 10 + a

Simplify:

5 = 10 + a

Subtract 10 from both sides:

5 -10 = 10 - 10 + a

Simplify:

-5 = a

a = -5

Want a bit more help with this before you begin? Why not watch this short video?

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