We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 8 Lesson 5 Practice with One- and Two-Step Problems** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 8 Lesson 5 Answer Key Practice with One- and Two-Step Problems

I Can write equations with unknowns using the four operations to solve one- and two-step word problems.

**Step It Out**

1. Bev has 3 large bags with 8 apples in each bag and a smaller bag with some more apples. She has 31 apples. How many apples are in the smaller bag?

Answer:

Bev has 7 apples in a smaller bag.

Explanation:

Given that Bev has 3 large bags with 8 apples which is 3×8 = 24 apples in each bag and a smaller bag with some more apples. As she has 31 apples, so the number of apples in a small bag is 31-24 which is 7 apples in the smaller bag.

A. Complete the bar model and the equation to show the number of apples in the large bags. Use n for the unknown number.

Answer:

n = 24.

Explanation:

The bar model for large apples and the equation is 3×8 = n where n = 24.

B. Complete the bar model to show how many apples are in the smaller bag. Use s for the unknown number.

Answer:

s = 7 apples.

Explanation:

The equation is 24+s = 31 where s = 31-24 which is 7 apples in a smaller bag.

C. How many apples are in the smaller bag?

Answer:

7 apples.

Explanation:

The number of apples in the smaller bag is 7 apples.

**Turn and Talk** How can you check your answer to know if it is reasonable?

**Step It Out**

2. Bev buys 30 pears to put in fruit baskets. Each basket has 3 pears. How many baskets of pears does Bev fill?

Answer:

Bev fills 10 baskets.

Explanation:

Given that Bev bought 30 pears to put in fruit baskets and each basket has 3 pears. So the number of baskets of pears does Bev fill is 30÷3 which is 10 baskets.

A. Write a division equation to represent the problem. Use b for the unknown number.

___ ÷ __ = 3

Answer:

b = 10.

Explanation:

The division equation to represent the problem is 30÷b = 3 where b is 10.

B. What amount is b equal to? b = ___

Think: 3 times what number is equal to 30?

Answer:

b = 10.

Explanation:

The amount b is equal to 10, as 3 times the number 10 is equal to 30.

C. Bev fills ___ baskets of pears.

Answer:

Bev fills 10 baskets of pears.

3. Bev buys 32 plums for fruit baskets. She puts 4 plums in each basket. After she delivers some baskets, Bev has 5 baskets left. How many baskets does Bev deliver?

A. Write an equation to show the number of baskets Bev makes.

Answer:

The number of baskets does Bev delivered is 8 baskets.

Explanation:

Given that Bev bought 32 plums for fruit baskets and she puts 4 plums in each basket. So the equation will be 32÷4 = n where n = 8.

B. Write an equation to show the number of baskets Bev delivers.

Answer:

b = 27.

Explanation:

The equation is 32-b = 5 where b is

b = 32-5

= 27.

C. How many baskets does Bev deliver? ____

Answer:

The number of baskets does Bev delivered is 27 baskets.

**Turn and Talk** How can you use mental math to check if your answer is reasonable?

**Check Understanding Math Board**

Question 1.

At a theater, one section of seats has 4 rows with 9 seats in each row. Some seats are reserved. There are 30 seats not reserved. How many seats are reserved? Write and solve two equations. Use letters for the unknowns.

____________________

___ seats are reserved.

Answer:

6 seats are reserved.

Explanation:

Given that at a theater, one section of seats has 4 rows with 9 seats in each row, so the total number of seats are 4×9 which is 36 seats. And in that 30 seats are not reserved, so the number of seats reserved are 36-30 which is 6 seats. So the equation will be 36-30 = n where n = 6 and the other equation is 4×9 = r where r is 36.

**On Your Own**

**Model with Mathematics Write equations. Use letters for the unknowns. Solve.**

Question 2.

A marching band has 42 people arranged in 6 rows. Each row has the same number of people. How many people are in each row?

Answer:

The number of people in each row is 7.

Explanation:

GIven that a marching band has 42 people arranged in 6 rows and each row has the same number of people. So the number of people in each row are 42÷6 which is 7.

Question 3.

David has a pipe for a plumbing project that is 20 inches long. He cuts the pipe into 2 equal-sized pieces. Then he cuts some inches off one of the pieces, leaving 7 inches. What length does he cut off from one of the pieces?

Answer:

The length does he cut off from one of the pieces is 3 inches.

Explanation:

Given that David has pipe with 20 inches long and he cuts the pipe into 2 equal-sized pieces which is 20÷2 = 10 inches and then he cuts some inches off one of the pieces leaving 7 inches which is 10-7 = 3 inches. So the length does he cut off from one of the pieces is 3 inches.

Question 4.

Clara has 3 packages of party favors. Each package has 7 favors. She also has some loose party favors. Clara has 25 party favors in all. How many loose party favors does she have?

Answer:

The loose party favors does she had is 4 favors.

Explanation:

Given that Clara has 3 packages of party favors and each package has 7 favors which is 7×3 = 21 favors. As Clara has 25 party favors in all, so the loose party favors does she had is 25-21 which is 4 favors.

**On Your Own**

**Model with Mathematics Write equations. Use letters for the unknowns. Solve.**

Question 5.

Greta and Angela each buy the same-sized box of water bottles. There are 12 bottles altogether.

How many water bottles are in each box?

Answer:

The number of bottles are in each box is 6 bottles.

Explanation:

Given that Greta and Angela each bought the same-sized box of water bottles and there are 12 bottles altogether. So the number of bottles are in each box is 12÷2 which is 6 bottles.

Question 6.

There are 8 rows of tomato plants with 6 plants in each row. Some plants are damaged. There are 43 healthy plants. How many plants are damaged?

Answer:

The number plants damaged are 5 plants.

Explanation:

Given that there are 8 rows of tomato plants with 6 plants in each row which is 8×6 = 48 plants. And there are 43 healthy plants, so the damaged plants are 48-43 which is 5 plants.

Question 7.

Jim swims 9 laps each day for 5 days. On the sixth day, he swims some more laps. He swims a total of 55 laps. How many laps does he swim on the sixth day?

Answer:

On sixth day he swims 10 laps.

Explanation:

Given that Jim swims 9 laps each day for 5 days which is 9×5= 45 laps. As he swims a total of 55 laps, so the number of laps does he swim on the sixth day is 55-45 which is 10 laps.

Question 8.

Kimberly earns $8 each on Wednesday, Thursday, and Friday. Over the weekend, she earns $34. How much money does Kimberly earn?

Answer:

Kimberly earns $10 for remaining days.

Explanation:

Given that Kimberly earns $8 each on Wednesday, Thursday, and Friday by the weekend she earns $34. So for 3 days she earns $8×3 which is $24 and for remaining days she earns $34-$24 which is $10.

Question 9.

**Open Ended** Write a two-step word problem with unknown numbers. Write two equations to represent and solve the problem.

Answer:

Problem:

Tom reads 7 pages in a week and the book has 140 pages. In how many weeks can Tom complete to read the book?

Explanation:

Given that Tom reads 7 pages in a week and the book has 140 pages. So Tom can complete 140÷7 = b where b is b = 20. Tom can complete reading in 20 days.