integer word problems - foundations of algebra -...

Integer Word Problems

Foundations of Algebra

Comparing and Ordering

Integers

1. Order the integers from least to

greatest. Write a sentence describing the

earliest and most recent events in the

table.


Integers

2.

a. Arrange the highest temperatures from

greatest to least.

b. Compare Nebraska and Maine’s lowest

temperatures using an inequality symbol.


Integers

3. Mr. Plattner pays close attention to how

much money is in his checking account.

One week he deposited $230, spent $15

on lunch, and loaned $25 to a friend.

Write each amount as an integer. List

them from least to greatest. How much

money did Mr. Plattner have left over?

Integers and Absolute Value

1. The lowest point in the USA is Death

Valley in California. Its altitude is 282 feet

below sea level. Write an integer to

represent the altitude of Death Valley.


2. A meteorologist reported that in the

month of April there were 3 inches more

rainfall than normal. Write an integer to

represent the amount of rainfall above

normal in April.


3. A famous mathematician and physicist

Archimedes was born in 287 B.C. Write

an integer to express the year of his birth.


4. In our world’s tropical rain forests, the

average temperature f every month is 64

degrees above zero or higher. Write an

integer to express this temperature.


5. A certain stock gained 5 points in one

day and lost 4 points the next day. Write

integers to represent the stock’s gains

and losses for the two days.


6. An airplane pilot, Drew, changed his

altitude by 100 meters. Describe what

this could mean.

Adding Integers

1. A team gains 20 yards and then loses 7

yards. Write a numerical expression and

find the sum.

Adding Integers

2. Sean owes his mom $5. He borrows

another $6 from his Mom. How much

does he now owe his Mom?

Adding Integers

3. Mr. Keating’s golf score was 5 over par

on the first 9 holes. His score was 4 under

par on the second 9 holes. Was Mr.

Keating above or under par at the end of

18 holes and by how many strokes?

Adding Integers

4. A balloon rises 340 feet into the air.

Then it descends 130 feet. Write a

numerical expression and find the sum.

Adding Integers

5. A cyclist travels downhill for 125 feet

and then travels uphill for 50 feet. How

many feet did the cyclist ride uphill and

downhill?

Adding Integers

6. A plane descends 1200 feet. Then it

descends another 500 feet. How many

feet did the plane descend?

Subtracting Integers

1. Parkland Trojans football team gained

5 yards on their first play of the game.

Then they lost 6 yards. Find the total

change in yardage.


2. Your checking account is overdrawn by

$50. You write a check for $20. What is

the balance in your account?


3. The average temperature in Calgary,

Canada is 22 degrees Celsius in July and

-11 degrees Celsius in January. Find the

range in the highest and lowest

temperature in Calgary.


4. A roller coaster begins at 90 feet above

ground level. Then it descends 105 feet.

Find the height of the coaster after the

first descent.


5. Tori has $235 in her savings account.

She withdraws $45. What is left in Tori’s

savings account?


6. Cameron and Colin were digging in the

sand at the beach. Cameron dug a hole

that was 15 inches below the surface, and

Colin dug a hole that was 9 inches below

the surface. Find the difference in the

depths of their holes.

Multiplying Integers

1. Suppose the temperature outside is

dropping 3 degrees each hour. How much

will the temperature change in 8 hours?


2. A deep-sea diver descends below the

surface of the water at a rate of 60 feet

each minute. What is the depth of the

diver after 10 minutes?


3. A computer stock lost two points each

hour for 6 hours. Describe the total

change in the stock after 6 hours.


4. A drought can cause the level of local

water supply to drop by a few inches each

week. Suppose the level of water supply

drops 2 inches each week. How much will

it change in 4 weeks?


5. Mrs. Karboski earned money on an

investment at a rate of $4 per day.

Describe the change in her investment

after two weeks.


6. Mr. Walker purchased 8 cans of tennis

balls. The cans came with 3 tennis balls in

each can. How many tennis balls did Mr.

Walker purchase?

Dividing Integers

1. During a 5-day workweek, the stock

market decreased by 65 points. Find the

average daily change in the market for the

week.

Dividing Integers

2. Mr. Moniz decreased the speed of his

car by 30 miles per hour over a period of

10 seconds. Find the average change in

speed each second.

Dividing Integers

3. Over the past seven days, Mrs. Plattner

found that the temperature outside had

dropped a total of 35 degrees. Find the

average change in temperature each day.

Dividing Integers

4. The Parkland Trojans basketball team

won their last 6 games. They won by a

total of 48 points. Find their average

number of points they beat their

opponents by in these 6 games.

Dividing Integers

5. The enrollment at Parkland High

School increased by 60 students over a

5-year period. What is the average yearly

increase in enrollment?

Dividing Integers

6. A submarine descends at a rate of 60

feet each minute. How long will it take it

to descend to a depth of 660 feet below

surface?

Integers

1. Travis has overdrawn his checking

account by $27. His bank charged him

$15 for an overdraft fee. Then he quickly

deposited $100. What is his current

balance?

Integers

2. Dan played golf with Drew on a special par 3

course. They played nine holes. The expected

number of strokes on each hole was 3. A birdie

is 1 below par. An eagle is 2 below par. A

bogie is one above par. A double bogie is 2

above par. On nine holes Dan made par on 1

hole, got 2 birdies, one eagle, four bogies, and

one double bogie. How many points above or

below par was Dan’s score?

Integers

3. Find the difference in height between

the top of a hill 973 feet high and a crack

caused by an earthquake 79 feet below

sea level.

Integers

4. In Detroit, Michigan the high

temperatures in degrees Fahrenheit for

five days in January were -12°, -8°, -

3°, 6°, -15°. What was the average

temperature for these five days?

Integers

5. Trojans Roofing was $3765 in the “red”

(owed creditors this amount) at the end of

June. At the end of December they were

$8765 in the “red.” Did they make or lose

money between June and December?

How much?

Integers

6. The temperature at noon on a winter

day was 8o C. At midnight, the

temperature had dropped 15o. What was

the temperature at midnight?

Integers

7. In 2001, Standard Register reported a

net loss of $43.9 million. In 2002, the

company had a net income of $33 million.

How much more money did the company

make in 2002 than in 2001?

Integers

8. On a recent glider flight, Lucy took a

tow to 3000 feet above ground level. She

found a good thermal and climbed

1800 feet. Then she hit big sink and lost

2200 feet. What was her altitude at that

point?

Integers

9. An architectural drawing of a building

shows the elevation of the basement floor

to be –12 feet. The elevation of the roof

is 32 feet. What is the total distance from

the roof to the basement floor?

Integers

10. One day in July, the temperature at

ground level at the airport was 90o. A

pilot reported the temperature at

10,000 feet was 50o. How much did

the temperature drop per 1000 feet?

(Hint: find the amount of temperature

change and set up a proportion.)

Integers

11. The high temperatures for the first 5 days of

January in Fargo, North Dakota are listed below.

Find the average high temperature for these 5

days.

• Jan. 1 - – 4o

• Jan. 2 - 3o

• Jan. 3 - 00

• Jan. 4 - – 6o

• Jan. 5 - 2o

Integers

12. A football team gained 6 yards on a

first down, lost 15 yards on the second

down, and gained 12 yards on the

third down. How many yards do they

need to gain on the fourth down to have a

10-yard gain from their starting

position?

Integers

13. While returning to the glider port, Lucy

descended for three minutes at a rate of

400 feet per minute. How much

altitude did she lose? If her starting

altitude was 2800 feet, what was her final

altitude?

Integers

14. Janessa’s credit card statement

showed that she owed $350. She made a

payment of $200, and then she charged

$23 for gasoline. She returned a sweater

she had charged earlier for a refund of

$35. Then she charged $15 at the

bookstore. What is her new balance?

Integers

15. In 2000, Bob’s 401(k) fund lost $9000.

In 2001, it lost another $10,000, and in

2002, it lost $17,000. In 2003, it gained

$16,000, and in 2004 it gained $12,000.

How much more does it have to gain to

be worth what it was at the start of

2000?

integer word problems - foundations of algebra -...

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