Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c

Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c

In this section, we will look at linear equation questions which involve two kinds of operations: addition and subtraction. We will deal with two-step linear equations modeled by diagrams as a start. Then, we will learn how to solve algebraic equations and related word problems.

Lessons

  • 1.
    Find x in the equation modelled by each diagram.
    a)

    Solving two-step linear equations using addition

    b)

    Solving two-step linear equations using addition and subtraction


  • 2.
    Find x in the equation modelled by algebra tiles.
    a)

    model and solve two-step linear equations addition and subtraction

    b)

    Solving two-step linear equations using addition and subtraction


  • 3.
    Solve.
    a)
    7x+9=217x + 9 = 21

    b)
    982x=1498 - 2x = 14

    c)
    35=6x+49 - 35 = 6x + 49

    d)
    4x11=109 - 4x - 11 = 109


  • 4.
    The total admission fee of an aquarium for 30 students is $240 after a group discount of $3 for each person. What is the original admission fee before the discount?