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

  • Introduction
    a)
    What is Reflexive property of equality?

    b)
    What is Transitive property of equality?

    c)
    What is Substitution property of equality?

    d)
    What is Symmetric property of equality?

    e)
    How to solve one-step equations?


  • 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=75\frac{x}{5} = - 75

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