# Worksheet: Applications of Multiplying Integers

Q1:

Suppose the temperature outside drops each hour. Determine the change in temperature in 9 hours.

Q2:

If the temperature outside is and is falling at a rate of 5 degrees per hour, what will the temperature be in 5 hours?

Q3:

The price of a stock decreased \$3 per day for eleven consecutive days. What was the total change in value of the stock over the eleven-day period?

Q4:

If the temperature drops 2 degrees per hour for 5 hours, which of the following expressions does not describe the change in temperature?

• A
• B
• C
• D

Q5:

Laura invested some money on a stock, and she loses \$7 every day. Determine the change in her investment after seven weeks.

• A-\$392
• B\$343
• C-\$343
• D\$49
• E\$392

Q6:

A construction company dug a hole for a new underground parking garage. The workers dug 6 feet every hour for 10 hours. Express the position of the bottom of the hole in relation to the surface as an integer.

Q7:

Wave erosion causes a certain coastline to recede at a rate of 3 centimeters each year. This occurs uninterrupted for a period of 13 years. Write a multiplication expression representing the change in the position of the coastline after that period with respect to its position before the erosion, and then determine its product.

• A,
• B, 30
• C,
• D,
• E, 39

Q8:

Zachary goes to the gym every day. When he does cardio for 1 hour, he burns 575 calories. If he does cardio for 3 hours, write a multiplication expression to represent that situation, and then find its product.

• A,
• B,
• C,
• D,
1 716
• E,
1 725

Q9:

Given that a submarine is descending below the sea level at a rate of 60 feet per minute, determine the depth at which the submarine will be after 10 minutes.

Q10:

The average person loses 50 to 80 hairs per day. If a person lost 63 hairs per day for 10 days without regrowing any, what would be the change in the number of hairs that person has?

Q11:

From the peak of a mountain, Jeffrey was hiking down at 1 650 feet per hour, and Amy was hiking down at 1 040 feet per hour. After 3 hours, how much farther from Amy was Jeffrey?

Q12:

Gloria pays \$190 for rent every month and \$480 for mortgage twice a year. Write an expression involving multiplication and addition to describe how these expenses affect her bank account balance on a yearly basis, and then evaluate the expression.

• A, -\$972
• B, \$
1 320
• C, -\$
3 240
• D, -\$
1 320
• E, \$
3 240

Q13:

Richard and Julia started a new fitness regimen. Richard is trying to gain 10 pounds per month, and Julia is trying to lose 2 pounds per month. If each of them is successful after 3 months of exercising, express the change in each of their weights as an integer.

• ARichard: pounds, Julia: pounds
• BRichard: pounds, Julia: pounds
• CRichard: pounds, Julia: pounds
• DRichard: pounds, Julia pounds
• ERichard: pounds, Julia: pounds

Q14:

Diana made twelve \$30 withdrawals from her bank account in the past week. Given that she never made any deposits, determine the amount she has in her account now in relation to the amount she had at the beginning of the week.

Q15:

If, for each kilometer above Earth’s surface, the temperature decreases , what would the temperature be 11 kilometers above Earth’s surface, given that the temperature at the surface is ?

Q16:

The elderly population in a town is decreasing at a rate of 40 residents per year. If the rate stays the same for 9 years, determine the change in the town’s original population.

Q17:

Two students were trying to evaluate the expression , given that , , and . The first student believed the answer to be , while the second student believed the answer to be . Which of the two answered correctly?

• Athe first student
• Bthe second student

Q18:

David began playing a board game and averaged a loss of 2 points every turn for the last 4 turns. How many positive points would he need to earn on the next turn to have a score of ?