Solve one-step equations with addition and subtraction.
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Students first solve equations by using diagrams; they then generalize their actions to solve equations algebraically without diagrams. Though some students may find they can mentally solve these equations, encourage students to organize and show their thinking algebraically. This will support them later as the equations become more and more complex.
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The following three diagrams represent the equation $${x+2=6}$$. Explain how you can use each one to find the value of $$x$$.
How can you solve the equation $${m+3.6=9.2}$$ without using a diagram?
Draw a tape diagram to represent the equation $${d-5=7}$$; then use it to find the value of $$d$$.
How can you solve the equation $${p-{3\over4}=8}$$ without using a diagram?
Grade 6 Mathematics > Module 4 > Topic G > Lesson 26 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.At the grocery store, Martin uses some coupons and saves $5.75 off his total bill. His new bill comes to $21.36. Let $$x$$ represent the amount of Martin’s grocery bill before using the coupons.
Write and solve an equation to find the amount of Martin’s bill before using the coupons.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Solve the equations. Show or explain your thinking.
A large bowl holds $${5{2\over3}}$$ cups of punch. Some more punch is added to the bowl to make a total of 10 cups of punch. Let $$c$$ represent the number of cups of punch that are added to the bowl.
Write and solve an equation to find the number of cups of punch that are added to the bowl.
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