# 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.

1. Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?

• $$x+3=14$$

• $$3x=14$$

• $$x = 14 -3$$

• $$x = 14 \div 3$$

2. Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre’s notebooks contain?

• $$y = 60 \div 5$$

• $$y = 5 \boldcdot 60$$

• $$\frac{y}{5} = 60$$

• $$5y = 60$$

### Solution

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### Problem 2

Solve each equation.

1. $$2x = 5$$
2. $$y + 1.8 = 14.7$$
3. $$6 = \frac{1}{2} z$$
4. $$3\frac{1}{4} = \frac{1}{2} + w$$
5. $$2.5t = 10$$

### Solution

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### Problem 3

For each equation, draw a tape diagram that represents the equation.

1. $$3\boldcdot x = 18$$
2. $$3+x=18$$
3. $$17 - 6 = x$$

### 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.)