Linear equations 1

Linear Equations

  • To solve a linear equation you need to get the letter on its own on one side
  • It is really important to write your working neatly when you are solving equations
      * 5x + 3 = 18
      * -3
      * 5x = 15
      * /5
      * x=3
        * Every line of working should have an equals sign in it
        * Start a new line for each step, do one operation at a time
        * Write down the operation you are carrying out, remember to do the same thing to both sides of the equation
        * Line up the equals signs

Letter on both sides

  • To solve an equation you have to get the letter on its own on one side of the equations
  • Start by collecting like terms so that all the letters are together
      * 2 - 2x = 26 + 4x
      * +2x
      * 2 = 26 + 6x
      * -26
      * -24 = 6x
      * /6
      * -4 = x

Equations with brackets

  • Always start by multiplying out the brackets then collecting like terms
      * 19 = 8 - 2(5 - 3y)
      * 19 = 8 - 10 + 6y
      * +2
      * 21 = 6y
      * 21/6 = y

Examiners report

  • Don’t use a trial and improvement method to solve an equation
  • You probably won’t find the correct answer, and you can’t get any method marks