Lesson 4
Practice Solving Equations and Representing Situations with Equations
Problem 1
Select all the equations that describe each situation and then find the solution.
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Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?
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\(x+3=14\)
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\(3x=14\)
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\(x = 14 -3\)
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\(x = 14 \div 3\)
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Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre’s notebooks contain?
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\(y = 60 \div 5\)
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\( y = 5 \boldcdot 60\)
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\(\frac{y}{5} = 60\)
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\(5y = 60\)
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Solution
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Problem 2
Solve each equation.
- \(2x = 5\)
- \(y + 1.8 = 14.7\)
- \(6 = \frac{1}{2} z\)
- \(3\frac{1}{4} = \frac{1}{2} + w\)
- \(2.5t = 10\)
Solution
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Problem 3
For each equation, draw a tape diagram that represents the equation.
- \(3\boldcdot x = 18\)
- \(3+x=18\)
- \(17 - 6 = x\)
Solution
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(From Unit 6, Lesson 1.)Problem 4
Find each product.
\((21.2)\boldcdot (0.02)\)
\((2.05)\boldcdot (0.004)\)
Solution
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(From Unit 5, Lesson 8.)Problem 5
For a science experiment, students need to find 25% of 60 grams.
- Jada says, “I can find this by calculating \(\frac{1}{4}\) of 60.”
- Andre says, “25% of 60 means \(\frac{25}{100} \boldcdot 60\).”
Do you agree with either of them? Explain your reasoning.
Solution
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(From Unit 3, Lesson 13.)