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Solving Multi-Step Word Problems with Linear Equations

This lesson focuses on solving multi-step word problems involving linear equations and inequalities in one variable. Students will learn to clear fractions and justify each step. Example problems and practice assignments are provided.

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Solving Multi-Step Word Problems with Linear Equations

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  1. CA Standards: 5.0:5. Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Objectives: (1) Students clear fractions and then solve multi-step equations Agenda 1.) Warm - Up 2.) Lesson Work Word Problems ppt. 3.) Assignment

  2. Work Word Problems Pencils Down Please: Mr. Love can paint a room in 3 hours. Mr. Sexton can paint the same room in 6 hours. How many hours will it take them to paint the room together?

  3. Let’s take a closer look • If Mr. Love can paint the room in 3 hours, then how many rooms can he paint in 1 hour? • And if Mr. Sexton can paint the room in 6 hours, then how much can he paint in 1 hour? • Therefore, if they work together, how much can they paint in one hour? +

  4. What does this mean? + How much of the room gets painted in one hour when they work together? At this rate, how long will it take them to paint the room?

  5. Mr. Love can paint a room in 3 hours. Mr. Sexton can paint the same room in 6 hours. How many hours will it take them to paint the room together? Example 1 Think of the problem in terms of hourly units… + =

  6. 18t ● 3 6 1 1 1 t # 6 3 9t 0

  7. You Try.Mr. Clark can mow the lawn in 20 minutes. Mr. Hunt can mow the same lawn in 5 minutes. How long will it take them to mow the lawn together? 20t ● 4 1 1 1 1 t # 1 4 5t 0

  8. You Try.One pipe can fill a tank in 20 minutes, while another one takes 30 minutes to fill the same tank. How long would it take the two pipes to fill the tank together? 60t ● 2 3 1 1 1 t # 3 2 5t 0

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