# Solving Linear Equations - Algebra Math Review

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## An algebraic equation contains at least one variable (e.g. x, y or z) and an equal sign.

In a **linear equation** the variable has a power of 1.

To solve a linear equation you need to *find the value of the variable* which
makes the equation true.

## Solving difficult linear equations.

- When an operation is performed on one side of the equation, the same operation must be performed on the other side of the equation.
- Start with the numbers furthest from the variable, and work towards
the variable.

- The equation may need to be rearranged to have all the variables
on one side of the equal sign and all the numbers on the other.

- Check your solution by substituting your answer into the equation.

## Algebra problems for you to try.

1. –3x + 5 = 41

2. 7x – 8 = 20

3. 4x – 5 = x + 10

*Solutions*: 1. x = -12 2. x = 4 3. x = 5

## Things to remember.

Rules for multiplying and dividing integers apply. When multiplying or dividing a pair of numbers, like signs (+ and +, or – and - ) give a positive answer and unlike signs (+ and -) give a negative answer.