Using the Distributive Property when Solving Equations

So far you've learned how to solve one step equations and two-step equations. Now we are going to take a minute to combine our knowledge of solving equations, the distributive property, and combining like terms.



It seems pretty easy to learn all of these skills in isolation, but using them together to solve one problem is the key in Algebra 1!

So, how does this work? Here are a few steps to take when you come across an algebra equation that looks a little more challenging!





Steps for Solving Algebra Equations


  • If you see parenthesis, with more than one term inside, use the distributive property first!

  • Rewrite your equations with like terms together. Take the sign in front of each term!

  • Combine like terms

  • Continue solving the one or two-step equation!




    • Let's look at a couple of examples to clarify those steps for you!



    Example 1

    distributive property with equations


    That example was pretty easy, I know! Let's look at one that requires a few more steps!



    Are You Completely Stumped by the Distributive Property?

    If you are stumped and don't know where to turn, try the Algebra Class E-course. You will have access to several more examples on video, plus lots of practice problems with detailed, step-by-step solutions. It's like having your very own tutor - I promise!


    Example 2



    equations with distributive property


    Ok... just one more example. This one is a little more difficult. You will have to distribute twice!




    Example 3


    distributive property equation


    Ok... ready to practice a couple on your own?



    Practice Problems



    1. 3(x -2) + 5 = 17

    2. -2(2x -4) + 3(x + 2) = 15







    Answer Key


    Problem 1

    distributive property solutions


    Problem 2

    distributive property answers


    So, how did you do? Are you ready to move onto equations with fractions?


    Solving Equations Unit

  • Balancing Equations

  • Solving one-step equations (Addition).

  • Solving one-step equations (Subtraction).

  • Solving one-step equations (Multiplication).

  • Solving one-step division equations.

  • Solving two-step equations.

  • Solving Equations with the Distributive Property You Are Here!

  • Solving equations with fractions The Next Lesson!

  • Solving Literal Equations

  • Solving equations with variables on both sides

  • Writing equations given a word problem



    • Return to Algebra Class Home Page.

    Like Us on Facebook



    Algebra Class E-course Members

    Username:
    Password:

    Sign Up for Algebra Class E-courses

    Search This Site

    Custom Search

    Do You Need Help With Your Basic Algebra Skills?

    Get access to your FREE Algebraic Expressions E-course. You'll have instant access to video lessons, practice problems, quizzes, and read more....

    It's FREE, so try it today!

    sign up


    Having Trouble with Your Homework?

    algebrator


    Looking to Improve Your Algebra Skills Instantly?

    Algebra Class E-courses provide you with the instruction and resources you need to be successful in Algebra 1. Video Lessons, practice problems, detailed solutions, and read more.....

    [ ?] Subscribe To This Site

    XML RSS
    Add to Google
    Add to My Yahoo!
    Add to My MSN
    Add to Newsgator
    Subscribe with Bloglines


    Homeschool Top Sites - Best Homeschool Sites on the Internet
    Enjoy This Site?
    Then why not use the button below, to add us to your favorite bookmarking service?

    Copyright© Algebra-class.com 2009.