Lesson 2: Practice Problems

Problem 1

Twenty pounds of strawberries are being shared equally by a group of friends. The equation $20 \div 5 = 4$ represents the division of strawberries.

If the 5 represents the number of people, what does the 4 represent?
If the 5 represents the pounds of strawberries per person, what does the 4 represent?

Problem 2

A sixth-grade science club needs $180 to pay for the tickets to a science museum. All tickets cost the same amount.

What could $180 \div 15$ mean in this context? Describe two interpretations of the expression. Then, find the quotient and explain what it means in each interpretation.

Problem 3

Write a multiplication equation that corresponds to each division equation.

$10 \div 5 = ?$
$4.5 \div 3 = ?$
$\frac{1}{2} \div 4 = ?$

Problem 4

Write a division or multiplication equation that represents each situation. Use a “?” for the unknown quantity.

2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?
A large bucket of 200 golf balls is divided into 4 smaller buckets. How many golf balls are in each small bucket?
Sixteen socks are put into pairs. How many pairs are there?

Problem 5 From Unit 4 Lesson 1

Find a value for $a$ that makes each statement true.

$a \div 6$ is greater than 1
$a \div 6$ is equal to 1
$a \div 6$ is less than 1
$a \div 6$ is equal to a whole number

Problem 6 From Unit 3 Lesson 14

Complete the table. Write each percentage as a percent of 1.

fraction	decimal	percentage
$\frac{1}{4}$	$0.25$	$25 % of 1$
	$0.1$
		$75 % of 1$
$\frac{1}{5}$
	$1.5$
		$140 % of 1$

Problem 7 From Unit 3 Lesson 8

Jada walks at a speed of 3 miles per hour. Elena walks at a speed of 2.8 miles per hour. If they both begin walking along a walking trail at the same time, how much farther will Jada walk after 3 hours? Explain your reasoning.