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High School Math Lesson Plan: Solving Multi-Step Equations

written by: Ginean Royal • edited by: Carly Stockwell • updated: 2/24/2014

This lesson plan will demonstrate to students how to solve multi-step equations.

  • slide 1 of 2

    Prior Knowledge

    Before this lesson your students should have previously learned how to write equations. This involves:

    (a) translating Multi Step Algebra Problems sentences into equations,

    (b) translating equations into sentences,

    (c) solving one-step equations using addition and subtraction and

    (d) solving simple equations using multiplication or division. Now students will learn how to solve multi-step equations.

    Common Core State Standards

    A.REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

    A.REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

    Mathematical Practice(s)

    Look for and express regularity in repeated reasoning.

    Learning Target(s)

    • Applying order of operations and inverse operations to solve equations
    • Constructing an argument to justify my solution process

    Essential Question(s)

    What is one problem-solving strategy used to solve multi-step equations?

    Answer: Working backwards or using the order of operations in reverse.


    Inverse operation, isolate, variable, constant, reciprocal, coefficient

  • slide 2 of 2



    • Instruct that minus and negative are equivalent
    • GOAL: To isolated the specified variable
    • Instruct that what is done on one side of the equation (= sign), must be done on the other side of the = sign.

    Utilize for the lesson today. There are two pages to view. Use all of the examples or as many as you choose.

    * Reminder for students: that –x is the same as -1x & x is the same as 1x.

    Guided Practice

    3-6 practice problems. You can do 1or 2 problems with the students at the board (Smart Board, Elmo, etc.) and then put them in small groups of no more than 3 to do the rest. These problems can be pulled from any textbook or other resource.

    Independent Practice

    Approximately 5 problems to be done alone.


    Ask 1-3 questions relating to today’s lesson to be answered by the class as a whole. This will give you a general idea of the class’ understanding of today’s topic.

    Exit Ticket

    This is to be done the last 3-5 minutes of class and given to you (by hand or in a designated area of your room) as they leave class. Possible question(s):

    Solve this problem: 5k + 3 = 23

    (Answer: k = 4)

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