Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line

We included HMH Into Math Grade 7 Answer Key PDF Module 3 Lesson 1 Add or Subtract a Positive Integer on a Number Line to make students experts in learning maths.

HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line

I Can add or subtract positive integers on a number line.

Spark Your Learning

John has an account balance of $20. He receives his weekly paycheck for work at his part-time job in the amount of $110. He can’t find a bike he wants, so he buys some comic books for $40. Then John finds his dream bike priced as shown. If he buys the bike now, what will his account balance be?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 1
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 2
Answer:
Given that,
John has an account balance of $20.
For the part time job he gets $110
He buys some comic books for $40.
The cost of the bike is $80.
The total balance is $20 + $110 = $130.
After buying the comic books the balance is $130 – $40 = $90
After buying the bike the balance is $90 – $80 = $10
The balance is $10.

Turn and Talk What happens when you subtract a greater positive number from a lesser positive number?
Answer: when we subtract a greater positive number from the lesser positive number then we get the positive number.

Build Understanding

1. Use the thermometer as a number line to answer the following questions.
A. On Monday morning, it was 35 °F outside. Plot this on the thermometer.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 3
Answer:
Given that,
Plot 35 °F on the temperature.
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-3

B. By afternoon, the temperature rose 20 degrees. What distance will you move on the thermometer? ____ In which direction will you move? ____
Answer:
Given that,
Monday morning the temperature is 35 °F
The temperature rises 20 degrees on Monday afternoon.
The distance will you move on the thermometer is 55 degrees. You can move in upward direction.

C. Show the change in temperature on the thermometer. What was the temperature Monday afternoon? ____________
Answer:
After a change in temperature on the thermometer.
The temperature on Monday afternoon was 55 degrees.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 4
D. Tuesday’s high temperature was 25 °F. The temperature dropped by 30 °F overnight. What direction on the number line is this? _____
Show this on the number line. 20 °F
What is the resulting temperature? ____________
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 5
Answer:
Tuesday’s high temperature was 25 °F.
The temperature dropped by 30 °F overnight.
The direction on the number line is downwards.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_1D
The resulting temperature is -5

E. Explain why Tuesday’s temperature drop resulted in a negative temperature.
__________________
__________________
Answer:
The Tuesday evening the temperature is reduced. So, the temperature is negative.

Turn and Talk Is it possible to start with a positive temperature and then have a rise in temperature which leads to a negative temperature? Explain.
Answer:
Start with a positive temperature and then have a rise in temperature in positive only.
When the temperature is positive and then a decrease in temperature only leads to the negative temperature.

2. Use a number line to answer the following questions. Thursday
A. Thursday’s low temperature was —5 °F and rose 20 degrees by mid-afternoon. Show this on a number
line. At what point do you start on the number line? _______
What distance do you move?____
In which direction do you move?____
Show this on the number line. What is the temperature
Thursday afternoon? _____
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 8
Given that,
Thursday’s low temperature is – 5 °F
The temperature rises to 20 degrees by mid-afternoon.
The distance moved is 20 degrees from -5 degrees.
I moved in the upward direction.
The temperature on Thursday afternoon is 15 degrees.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_2A

B. Friday’s low temperature is —10 °F. During the day, the temperature rises by 5 degrees. Show the movement on the number line for Friday and give the result. ______
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 9
Answer:
Given that,
Friday’s low temperature is -10 °F.
The temperature rises by 5 degrees.
Therefore the temperature is -10 + 5 = -5 degrees.
The movement on the number line for Friday is upwards.
The result is -5 degrees.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_2B

C. Sunday’s high temperature is —10 °F. During the day, the temperature drops 2 degrees. What is the temperature Sunday afternoon? ____
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 10
Answer:
Given that,
Sunday’s high temperature is -10 °F.
The temperature drops 2 degrees.
Therefore the temperature on Sunday afternoon is -10 – (-2) = -8.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_2C
The temperature on Sunday afternoon is = -8.

D. Explain why the temperatures on Friday and Sunday afternoons are both negative, even though one is the result of an increase in temperature and one is the result of a decrease in temperature.
__________________
__________________
__________________
__________________
Answer:
The temperatures on Friday and Sunday started negative. So, after decreasing or increasing the change in the negative temperature it will results from the negative temperatures.

Turn and Talk How can you predict whether the sum of a positive and a negative number will be positive or negative by comparing the two numbers?
Answer:
The sum of positive numbers is 2 + 3 = 5
The sum of negative numbers is -2 + (-3) = -5
The sum of positive numbers is positive and the sum of negative numbers is negative.

3. Jane wants to buy a new tablet that costs $100. She keeps a record of the money she earns and spends as shown. Will Jane have enough money to buy the tablet on Sunday? Follow the steps using the number line below.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 11
A. Jane’s starting balance is ____. Plot the amount on the number line.
Answer:
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_3A

B. Jane earns ____ babysitting. Draw an arrow from the starting amount to represent the amount Jane earns by babysitting. How much money does Jane have now? ______
Answer:
Hane earns on babysitting is $25.
Jane have now is $60 + $25 = $85
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_3B

C. Jane received ___ for a weekly allowance. Draw another arrow from the end of the arrow from Step B to represent Jane’s allowance.
How much money does Jane have now? ____
Answer:
Jane received $20 for the weekly allowance
The Jane have now is $85 + $20 = $105
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_3C

D. Jane spent ___ at the football game. Draw another arrow to represent the amount Jane spent at the football game. How much money does Jane have now? ____
Answer:
Jane spent $10 at the football game.
Hane have now is $105 – $10 = $95
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_3D

E. The tablet costs ___. Draw an arrow to represent the amount Jane would spend on the tablet. Does she have enough money? Explain.
Answer:
The table cost is $95.
The cost of a new tablet is $100.
There Jane has not enough money to buy a tablet.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_3E

Check Understanding

Question 1.
A business has $10,000 in its bank account. In order to build an addition onto its office, it takes out a loan for $30,000. What is its new account balance once the loan is deposited?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 12
Answer:
Given that,
A business has $10,000 in its bank account.
In addition, he took a loan of $30,000.
The total amount in the bank is $10,000 + $30,000 = $40,000.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_1

Question 2.
If the amount required to build the addition is actually $45,000, will the business in Problem 1 have enough to do it? Explain.
Answer:
Given that,
A business has $10,000 in its bank account.
In addition, he has taken a loan of $30,000.
The total amount in the bank is $10,000 + $30,000 = $40,000.
But the amount required to build the addition is actually $45,000.
Therefore $45000 – $40,000 = $5000
The Business has no enough money to build.

On Your Own

Use the number line for Problems 3 and 4.

HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 13

Question 3.
It is first down in the football game, your team has the ball at your 25-yard marker, and the play is a successful run for 6 yards. Where does the ball end up? Where is the ball relative to where it started?
Answer:
Given that,
The team has the ball at your 25-yard marker.
The play is a successful run for 6 yards.
The ball is started at 25 yards
25 yards + 6 yards = 31 yards.
The ball ends up with 31 yards.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_3

Question 4.
On second down, your quarterback drops back to pass but is sacked for a 10-yard loss. Where does the ball end up?
Answer:
Given that,
The team has the ball at your 25-yard marker.
The team lost 10 yards.
The ball is started at 25 yards.
The game ends at 25 -10 = 15.
The ball ends up with 15 yards.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line_4

Question 5.
Reason Review the actions covered in Problems 3 and 4. Over these two plays, has your team gained or lost total ground? How much? Explain.
Answer:
In the two plays the first team with 31 yards
The second ream with 15 yards.
The first team is gained and the second team is lost.

Question 6.
What is the sum of 18 and 20?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 14
Answer:
sum of 18 and 20
18 + 20 = 38
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-14

Question 7.
What is the result of subtracting 35 from 25?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 15
Answer:
subtracting 35 from 25
25 – 35 = -10
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-15

Question 8.
What is the result of subtracting 35 from 40?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 16
Answer:
subtracting 35 from 40
40 – 35 = 5
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-16

Use the thermometers provided for Problems 9—11.

Question 9.
Your home feels cold to you at 60 °F. You turn up the heat in order to raise the temperature by 15 degrees. What will the resulting temperature be?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 17
Answer:
Given,
Your home feels cold to you at 60 °F.
You turn up the heat in order to raise the temperature by 15 degrees.
60 + 15 = 75 degrees
The resulting temperature will be 75°F.

Question 10.
You have a beaker of water that is currently at 70 °F. You add some ice to lower the temperature by 15 degrees. What temperature do you want the water to go down to?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 19
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 18
Answer:
Given,
You have a beaker of water that is currently at 70 °F.
You add some ice to lower the temperature by 15 degrees.
70 – 15 = 55 degrees

Question 11.
John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns, earning $10 each. He puts that money in the bank. Then John spends $45 on a video game. How much money does he have after that purchase?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 20
Answer:
Given,
John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns, earning $10 each.
50 + 20 + 10 + 10 = $90
Then John spends $45 on a video game.
90 – 45 = $45
Thus $45 left after that purchase.

Use the number line for Problems 12—15.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 21

Question 12.
What is the result of 20 plus 30 minus 60?
Answer:
(20 + 30) – 60
50 – 60 = -10
So, the result is -10.
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-21

Question 13.
What is the result of -10 plus 30?
Answer:
-10 plus 30
-10 + 30 = 20
So, the result is 20.
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-21

Question 14.
What is the result of 70 minus 50 plus 20?
Answer:
70 minus 50 plus 20
(70 – 50) + 20
20 + 20 = 40
So, the result is 40.
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-21

Question 15.
What is the result of 20 minus 50?
Answer:
20 minus 50
20 – 50 = -30
So, the result is -30.
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-21

I’m in a Learning Mindset!

How effective was the number line as a tool for subtracting positive integers?

Lesson 3.1 More practice/Homework

Add or Subtract a Positive Integer on a Number Line

Question 1.
Ms. Howard buys a car for $500 and adds a music system that costs $200. Then she adds a pair of seat covers for the price shown. How much has Ms. Howard spent on the car so far?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 22
Answer:
Given,
Ms. Howard buys a car for $500 and adds a music system that costs $200.
500 + 200 = $700
The price of seat cover is $50
2 × 50 = 100
$700 + $100 = $800
Thus Ms. Howard spent $800 on the car.

Question 2.
At the beginning of the week, Tideland Manufacturing had an inventory of 60,000 screws. This week they received a shipment of 30,000 more screws. Then they used 50,000 screws to make their Tideland mowers. How many screws do they have left in inventory?
Answer:
Given,
Tideland Manufacturing had an inventory of 60,000 screws. This week they received a shipment of 30,000 more screws.
60,000 + 30,000 = 90,000 screws
Then they used 50,000 screws to make their Tideland mowers.
90,000 – 50,000 = 40,000 screws
Therefore 40,000 screws have left in inventory.

Question 3.
STEM A chemical reaction is endothermic if it absorbs heat from its surroundings. It is exothermic if it gives off heat to its surroundings. In her chemistry class, Lily is given a salt (ammonium nitrate) and a beaker of water at 60 °F. She dissolves the salt in the water and sees that the temperature of the solution is now 50 °F. Did the temperature of the solution increase or decrease? By how many degrees? What kind of reaction has occurred? Explain.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 23
Answer:
In her chemistry class, Lily is given a salt (ammonium nitrate) and a beaker of water at 60 °F.
She dissolves the salt in the water and sees that the temperature of the solution is now 50 °F.
60 °F – 50 °F = 10°F
Thus the temperature is decreased by 10°F.
Thus endothermic reaction has occurred.

Question 4.
At the beginning of the month, Joe has $180 in his bank account. He wants to buy a new gaming system for $250 in two weeks. His parents have offered to loan him money if he needs it. He gets $20 a week for an allowance. Will he have enough money at the end of two weeks to make the purchase on his own? If not, how much will he have to borrow from his parents? Explain.
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 24
Answer:
At the beginning of the month, Joe has $180 in his bank account. He wants to buy a new gaming system for $250 in two weeks.
180 – 250 = -70
He needs $70 more to buy a new gaming system.
His parents have offered to loan him money if he needs it. He gets $20 a week for an allowance.
20 × 2 = $40
180 + 40 = $220
HMH-Into-Math-Grade-7-Module-3-Lesson-1-Answer-Key-Add-or-Subtract-a-Positive-Integer-on-a-Number-Line-24
250 – 220 = 30
Thus he needs to borrow $30 from his parents.

Question 5.
Reason Can you ever add two positive integers and get a negative integer? Explain.
Answer:
No, when we add two positive integers the result will be a positive integer.
Example:
2 + 3 = 5 is a positive integer.

Question 6.
Reason Can yoú subtract a positive integer from a positive integer and get a negative result? Explain your answer.
Answer:
Yes, we can subtract a positive integer from a positive integer and get a negative result.
5 – 7= -2

Test Prep

Question 7.
Marcus owes his mother $10. He babysits his little sister and earns $25. Then he cleans the garage and earns $32. After he pays his mother, how much money does Marcus have?
Answer:
Given,
He babysits his little sister and earns $25.
Then he cleans the garage and earns $32.
25 + 32 = $57
His overall earnings is $57
Marcus owes his mother $10.
57 – 10 = $47
Therefore he has $47 after he pays his mother.

Question 8.
The water in a lake is 4 feet above its usual level. Then the level of the lake drops 7 feet. If 0 represents its usual level, which number line shows the final level of the water in the lake?
HMH Into Math Grade 7 Module 3 Lesson 1 Answer Key Add or Subtract a Positive Integer on a Number Line 25
Answer:
Given,
The water in a lake is 4 feet above its usual level.
Then the level of the lake drops 7 feet.
4 + (-7) = -3
So, the point should be placed on -3 on the number line.
So, option C is the correct answer.

Circle the word that best completes the sentence.

Question 9.
Donna subtracts a positive number from a greater positive number. The resulting difference will be (positive / negative)
Answer: Donna subtracts a positive number from a greater positive number. The resulting difference will be positive.

Question 10.
Devon subtracts a positive number from a lesser positive number. The resulting difference will be (positive / negative)
Answer: Devon subtracts a positive number from a lesser positive number. The resulting difference will be negative.

Spiral Review

Question 11.
Elena draws a scale drawing for a garden. The scale drawing is 3 inches by 6 inches. The garden will be 12 feet by 24 feet. What is the scale of the drawing in inches to feet?
Answer:
Elena draws a scale drawing for a garden. The scale drawing is 3 inches by 6 inches.
The garden will be 12 feet by 24 feet.
12 feet = 3 inches
1 feet = x
x × 12 = 3
x = 3/12
x = 1/4 = 0.25
The scale is of 0.25 inches per feet.

Question 12.
Raoul makes shell necklaces to sell at a craft fair. The supplies for each necklace cost $3.75. Raoul sells the necklaces for $11.25. What is the percent markup for a shell necklace?
Answer:
Given,
Raoul makes shell necklaces to sell at a craft fair.
The supplies for each necklace cost $3.75.
Raoul sells the necklaces for $11.25.
Mark up = selling price – cost price
Mark up = 11.25 – 3.75 = $7.5
The percent markup for a shell necklace = markup/ cost price × 100%
= 7.5/3.75 × 100%
2 × 100% = 200%
Thus the percent markup for a shell necklace is 200%

Question 13.
Neveah goes out to dinner at a restaurant. The bill for dinner is $57.25, and Neveah gives the server a 20% tip. What is the total cost for dinner?
Answer:
Given,
Neveah goes out to dinner at a restaurant.
The bill for dinner is $57.25, and Neveah gives the server a 20% tip.
57.25 × 20/100 = $11.45
$57.25 + $11.45 = $68.70
Thus the total cost for dinner is $68.70

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