Solving linear equations using multiplication and division

Solving linear equations using multiplication and division

In the previous lessons, we have learned what a linear relationship is and its graphs and tables. In this lesson here, we will then learn how to solve one-step linear equations by multiplication and division.

Lessons

  • 1.
    Solve the following equations.
    a)
    97=3x - \frac{9}{7} = 3x

    b)
    x3=57\frac{x}{3} = \frac{5}{7}

    c)
    314=112x3\frac{1}{4} = 1\frac{1}{2}x

    d)
    65x=98 - \frac{6}{5}x = - \frac{9}{8}


  • 2.
    Solve.
    a)
    0.25=x1.2 - 0.25 = \frac{x}{{ - 1.2}}

    b)
    6.3=4.7x6.3 = - 4.7x

    c)
    2.2x=6.6\frac{{2.2}}{x} = - 6.6

    d)
    4.5x=8.14.5x = 8.1


  • 3.
    A laptop is on sale at 35% off. The sale price is $342.99 less than the original price. What is the sale price of the laptop?