In this worksheet, we will practice adding positive and negative integers in both abstract and real-world contexts that do not just involve numbers but also units.

Q1:

Calculate the following: .

Q2:

Evaluate for , , and .

Q3:

A whale was at 600 ft below sea level, rose 304 ft to feed, and then dove back 56 ft. Express its position relative to sea level as an integer.

Q4:

Fill in the blanks: .

Q5:

.

Q6:

.

Q7:

When Daniel played a board game he moved 2 backward on his first play, 13 backward on his second play, and 4 forward on his third play. Write an addition expression to describe this situation and then find the sum.

• A,
• B, 15
• C,
• D,
• E, 7

Q8:

A football team gained 15 yards and then lost 5. Write an addition expression to describe the situation, and then find its sum.

• A
• B
• C
• D
• E

Q9:

Daniel owes his sister \$10. If he borrows another \$23 from her, write an addition expression to describe the previous situation, and then solve it.

• A,
• B, 13
• C, 33
• D,
• E,

Q10:

A submarine descended 1,110 feet and then descended another 325. Write an addition expression to describe the previous situation, and then find its sum.

• A
• B
• C
• D
• E

Q11:

Jennifer recorded some temperatures during the day on a number line. At 8:00 am, the temperature was represented by an integer that is the opposite of . At 3:00 pm, the temperature was . Write an integer that describes the change in temperature.

Q12:

During a five-day cold wave, James recorded the temperature each day at noon. The temperature was on Monday, on Tuesday, on Wednesday, on Thursday, and on Friday. The temperature at noon on Saturday was warmer than the temperature on Thursday. What was the temperature on Saturday?

Q13:

Chloe opened a checking account with \$380. If she deposited \$39, \$11, and \$65 in her account and then withdrew \$76 and \$57, determine her current balance.

Q14:

Natalie was checking her bank account and found her current balance to be . She deposited \$438. What is Natalie’s new account balance?

Q15:

A carp was swimming 3 feet under the surface of the water, then it darted up 4 feet. How high above the water did it jump?

Q16:

Consider the following figure. What sum does this diagram represent?

• A
• B
• C
• D
• E

What is the distance between the first addend and the sum?

• A
• B
• C
• D
• E

Q17:

Consider the following figure. What sum does this diagram represent?

• A
• B
• C
• D
• E

What is the distance between the first addend (2) and the sum?

• A
• B
• C

Q18:

Consider the following figure. What sum does this diagram represent?

• A
• B
• C
• D
• E

What is the distance between the first addend (4) and the sum?

• A
• B
• C
• D

Q19:

Consider the following figure. What sum does this diagram represent?

• A
• B
• C
• D
• E

What is the distance between the first addend (5) and the sum?

• A
• B
• C
• D

Q20:

Consider the following figure. What sum does this diagram represent?

• A
• B
• C
• D
• E

What is the distance between the first addend and the sum?

• A
• B
• C

Q21:

Consider the following figure. What sum does this diagram represent?

• A
• B
• C
• D
• E

What is the distance between the first addend and the sum?

• A
• B
• C
• D

Q22:

Consider the following figure. What sum does this diagram represent?

• A
• B
• C
• D
• E

What is the distance between the first addend and the sum?

• A
• B
• C
• D
• E

Q23:

The given table represents the deposits and withdrawals made by William during the last few days. If William originally had \$87 in his account, what is his account balance now?

 Check Number Amount(\$) 881 1,246 1,247 882 −52 +56 +38 −37

Q24:

From the summit of a mountain, a hiker descended 53 feet, took a break, and then descended another 38 feet. What is the location of the hiker in relation to the summit?

Q25:

If the temperature outside was , and then it rose , determine the current temperature.