We included **HMH Into Math Grade 4 Answer Key**** PDF** **Module 5 Lesson 7 Use Equations to Solve Multistep Problems** to make students experts in learning maths.

## HMH Into Math Grade 4 Module 5 Lesson 7 Answer Key Use Equations to Solve Multistep Problems

I Can Use equations to solve multistep problems.

**Spark Your Learning**

The apple trees grew so many apples that Lia filled 7 baskets with 13 apples each to take to the school picnic. Once there, Lia gave apples to everyone who passed by. At the end of the day, she had 46 apples left. How many apples did she pass out?

Answer:

Explanation:

Lia passed out 45 apples.

**Turn and Talk** How were your steps for solving the problem alike or different?

**Build Understanding**

1. Malik collects stamps in an album that has 48 pages. He puts 8 stamps on each of the first 6 pages. He puts 15 stamps on each of the next 9 pages. How many stamps are in Malik’s album?

A. How can you show what is happening in the problem?

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Answer:

We can show what is happening in the problem by solving it step by step.

B. Is there any extra information in the problem that you do not need?

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Answer:

The total number of pages is not needed to solve the problem.

C. What will the answer tell us?

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Answer:

The answer tells us the number of stamps in Malik’s album.

D. What do you need to do first to solve the problem?

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Answer:

First i need to multiply number of pages with number of stamps put on them.

E. About how many stamps do you think there are? Why?

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Answer:

I think there are about 200 stamps.

F. Show how you can solve the problem.

Answer:

Multiply 8 stamps with 6 pages = 8 x 6 = 48 stamps

Multiply 15 stamps with 9 pages = 15 x 9 = 135 stamps

135 + 48 = 183

G. There are ___ stamps in Malik’s album.

Answer:

There are 183 stamps in Malik’s album.

**Turn and Talk** How does your answer compare with your estimate?

**Step It Out**

2. On Monday and Tuesday, Anne bikes to the beach and back home. On Thursday and Friday, Anne bikes to the park and back home. How many miles does Anne ride her bike?

A. Underline the information you need to solve the problem.

B. Write an equation to model the number of miles Anne bikes to and from each location.

C. How can you write an equation to find the number of miles Anne bikes? Use the order of operations to solve the problem. Let t = the total number of miles Anne bikes.

D. Anne rides her bike ___.

Answer:

The number of miles Anne bikes on Monday and Tuesday to and from home to beach is

Beach = 2 x 2 x 12 = 48 miles

The number of miles Anne bikes on Thursday and Friday to and from home to park is

Park = 2 x 2 x 8 = 32 miles

Total number of miles Anne bikes = t = 48 + 32 = 80.

Anne rides her bike 32 miles.

**Connect to Vocabulary**

The order of operations is a set of rules that gives the order in which calculations are done From left to right first multiply and divide, and then add and subtract.

**Check Understanding Math Board**

**Find the product. Show your work.**

Question 1.

Corey goes to a store with $25 to spend. He buys 3 packages of baseball cards. Each package costs $6. How much money does Corey have now? ___

Let c = the money Corey has left.

Answer:

$7 is the money Corey has left

Explanation:

Corey goes to a store with $25 to spend.

He buys 3 packages of baseball cards.

Each package costs $6

3 packages costs 3 x $6 = $18

Let c = the money Corey has left

c = $25 – $18 = $7.

**On Your Own**

Question 2.

**Model with Mathematics** Evan has 4 pieces of rope that are the same length. He needs 75 feet of rope to build a bridge. How much more rope does Evan need?

- What do you need to do first to solve the problem?

__________________________________ - Write an equation to find the answer to the first step. Then solve. Let f = the total length of rope Evan already has.

__________________________________ - About how much more rope does Evan need?

__________________________________ - Write an equation to find exactly how much more rope Evan needs. Then solve. Let n = the length of rope Evan needs.

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Evan needs ____ more feet of rope. - Explain why your answer is reasonable.

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Answer:

I need to find the length of the rope Evan need.

The equation that tells the length of the rope Evan already has is f = 13 x 4

Evan need 75 feet of rope

The equation that tells the length of the rope Evan need is n = 75 – 13 x 4

75 – 52 = 23

Evan needs 23 more feet of rope.

**Use the order of operations and find the value of n.**

Question 3.

40 × 8 – 7 × 3 = n

___ = n

Answer:

299

Explanation:

(40 x 8) – (7 x 3)

= 320 – 21

299 = n.

Question 4.

32 + 2 × 35 – 8 = n

___ = n

Answer:

n = 94

Explanation:

32 + (2 x 35) – 8

= (32 + 70) – 8

= 102 – 8

= 92 = n.

**I’m in a Learning Mindset!**

What do I do when I do not know what to do?

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