Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b

Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b

Linear equations which can be solved with a single operation are called one-step linear equations. In this section, we will try to solve one-step linear equations represented in diagrams and in equation form.

Lessons

  • 1.
    What is the equation represented by each diagram?
    a)

    one-step linear equations represented as a diagram

    b)

    Model and solve one-step linear equations

    c)

    solve one-step linear equations using models

    d)

    solving one-step linear equations expressed as a model


  • 2.
    Solve.
    a)
    4x=56 - 4x = 56

    b)
    3x=243x = - 24

    c)
    x5=7\frac{x}{5} = - 7

    d)
    2=x10 - 2 = \frac{x}{{ - 10}}


  • 3.
    Betty is baking 5 cakes and has 2 cups of icing sugar to decorate the cakes. If there is 40 g of icing sugar in each cup, how much icing sugar can Betty use for each cake?
    a)
    What is the equation that represents the situation?

    b)
    Solve the equation.