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.

Comparing and Ordering Integers 2.

a. Arrange the highest temperatures from greatest to least. b. Compare Nebraska and Maine’s lowest temperatures using an inequality symbol.

Comparing and Ordering 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.

Integers and Absolute Value 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.

Integers and Absolute Value 3. A famous mathematician and physicist Archimedes was born in 287 B.C. Write an integer to express the year of his birth.

Integers and Absolute Value 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.

Integers and Absolute Value 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.

Integers and Absolute Value 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.

Subtracting Integers 2. Your checking account is overdrawn by $50. You write a check for $20. What is the balance in your account?

Subtracting Integers 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.

Subtracting Integers 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.

Subtracting Integers 5. Tori has $235 in her savings account. She withdraws $45. What is left in Tori’s savings account?

Subtracting Integers 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?

Multiplying Integers 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?

Multiplying Integers 3. A computer stock lost two points each hour for 6 hours. Describe the total change in the stock after 6 hours.

Multiplying Integers 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?

Multiplying Integers 5. Mrs. Karboski earned money on an investment at a rate of $4 per day. Describe the change in her investment after two weeks.

Multiplying Integers 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?