Lesson 4: Practice Problems

Problem 1

Select all the equations that describe each situation and then find the solution.

Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh?
1. $x + 3 = 14$
2. $3 x = 14$
3. $x = 14 - 3$
4. $x = 14 \div 3$
Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre’s notebooks contain?
1. $y = 60 \div 5$
2. $y = 5 \cdot 60$
3. $\frac{y}{5} = 60$
4. $5 y = 60$

Problem 2

Solve each equation.

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

Problem 3 From Unit 4 Lesson 1

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

$3 x = 18$
$3 + x = 18$
$17 - 6 = x$

Problem 4

Find each product.

$(21.2) \cdot (0.02)$
$(2.05) \cdot (0.004)$

Problem 5 From Unit 2 Lesson 22

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 $\frac{25}{100} \cdot 60$ .”

Do you agree with either of them? Explain your reasoning.