Funmaths for high school

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.

Linear equations


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


Solving linear equations


Solving difficult linear equations.

  1. When an operation is performed on one side of the equation, the same operation must be performed on the other side of the equation.
  2. Start with the numbers furthest from the variable, and work towards the variable.
    Difficult linear equations
  3. 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.
    Rearranging a linear equation
  4. Check your solution by substituting your answer into the equation.
    Checking your solution

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.