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!




    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




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