Solve one-step equations with multiplication and division.
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In this lesson, students encounter problems that draw on skills from the Number Sense domain, namely dividing by fractions and decimals. Students may need to review or recall these concepts in order to fully access this lesson.
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The following two diagrams represent the equation $${ 2x=8}$$. Explain how you can use each one to find the value of $$x$$.
How can you solve the equation $${3.4m=13.6}$$ without using a diagram?
Complete the tape diagram below to represent the equation $${{x\over5}=10}$$; then use it to find the value of x.
How can you solve the equation $${{p\over6}=9}$$ without using a diagram?
Three equations are shown below. For each one, identify all of the ways that equation could be solved.
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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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Ron solved the equation $${ {{{2\over3}}}r=12}$$ by multiplying both sides by $${{2\over3}}$$ and he got $${r=8}$$. Explain the error that Ron made and then find the correct value for $$r$$.
Lee filled several jars with $${{1\over4}}$$ cup of water in each jar. He used a total of 8 cups of water. Let $$j$$ represent the number of jars that Lee filled.
Write and solve an equation to find out how many jars Lee filled.
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