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

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?

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.

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.

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?

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?

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

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?

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.

Bev fills 10 baskets of pears.

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

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.

b = 27.

Explanation:
The equation is 32-b = 5 where b is
b = 32-5
= 27.

C. How many baskets does Bev deliver? ____

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.
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.

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?

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?
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?
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.

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?
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?

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?
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?
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.