Worksheet: Adding Integers

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: 14+(βˆ’14)+0+(βˆ’13)+(βˆ’10).

Q2:

Evaluate π‘₯+𝑦+𝑧+6 for π‘₯=βˆ’5, 𝑦=βˆ’6, and 𝑧=βˆ’9.

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: βˆ’46+(βˆ’7+46)=.

Q5:

βˆ’8+2=.

Q6:

βˆ’12+9+12=.

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.

  • A2+(βˆ’13)+4, βˆ’7
  • Bβˆ’2+13+4, 15
  • Cβˆ’2+(βˆ’13)+4, βˆ’11
  • Dβˆ’2+(βˆ’13)+(βˆ’4), βˆ’19
  • Eβˆ’2+13+(βˆ’4), 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.

  • A15+(βˆ’5),βˆ’10
  • B15+5,20
  • Cβˆ’15+5,βˆ’10
  • D15+(βˆ’5),10
  • Eβˆ’15+(βˆ’5),βˆ’20

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.

  • A10+(βˆ’23), βˆ’13
  • Bβˆ’10+23, 13
  • C10+23, 33
  • D(βˆ’10)+(βˆ’23), βˆ’33
  • Eβˆ’10+23, βˆ’13

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.

  • Aβˆ’1,110+(βˆ’325),βˆ’1,435
  • B1,110+(βˆ’325),785
  • C1,110+325,1,435
  • Dβˆ’1,110+325,785
  • Eβˆ’1,110+325,βˆ’785

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 7∘F. At 3:00 pm, the temperature was 2∘F. 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 βˆ’9∘F on Monday, βˆ’8∘F on Tuesday, βˆ’7∘F on Wednesday, βˆ’5∘F on Thursday, and βˆ’4∘F on Friday. The temperature at noon on Saturday was 13∘F 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 βˆ’$460. 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?

  • Aβˆ’3+2=βˆ’1
  • B3+5=8
  • Cβˆ’3+(βˆ’5)=βˆ’8
  • D3+(βˆ’5)=βˆ’2
  • Eβˆ’3+5=2

What is the distance between the first addend (βˆ’3) and the sum?

  • Aβˆ£βˆ’2∣
  • Bβˆ£βˆ’1∣
  • C∣8∣
  • D∣5∣
  • Eβˆ£βˆ’3∣

Q17:

Consider the following figure.

What sum does this diagram represent?

  • A2+(βˆ’4)=βˆ’2
  • B2+4=6
  • Cβˆ’2+(βˆ’4)=βˆ’6
  • D2+(βˆ’6)=βˆ’4
  • Eβˆ’2+4=2

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

  • A|βˆ’4|
  • B|6|
  • C|βˆ’2|

Q18:

Consider the following figure.

What sum does this diagram represent?

  • A4+6=10
  • Bβˆ’4+6=2
  • C4+(βˆ’6)=βˆ’2
  • D4+(βˆ’2)=2
  • E4+2=6

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

  • A|βˆ’6|
  • B|βˆ’2|
  • C|10|
  • D|4|

Q19:

Consider the following figure.

What sum does this diagram represent?

  • A5+2=7
  • Bβˆ’5+2=βˆ’3
  • C5+(βˆ’7)=βˆ’2
  • Dβˆ’5+(βˆ’2)=βˆ’7
  • E5+(βˆ’2)=3

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

  • A|βˆ’7|
  • B|βˆ’2|
  • C|βˆ’3|
  • D|5|

Q20:

Consider the following figure.

What sum does this diagram represent?

  • A6+(βˆ’3)=3
  • Bβˆ’6+(βˆ’3)=βˆ’9
  • Cβˆ’6+9=3
  • Dβˆ’6+3=βˆ’3
  • E6+3=9

What is the distance between the first addend (βˆ’6) and the sum?

  • A|βˆ’6|
  • B|9|
  • C|3|

Q21:

Consider the following figure.

What sum does this diagram represent?

  • Aβˆ’4+(βˆ’9)=βˆ’13
  • B4+5=9
  • C4+(βˆ’5)=βˆ’1
  • Dβˆ’4+(βˆ’5)=βˆ’9
  • Eβˆ’4+5=1

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

  • A|βˆ’5|
  • B|βˆ’4|
  • C|9|
  • D|βˆ’1|

Q22:

Consider the following figure.

What sum does this diagram represent?

  • A4+(βˆ’1)=3
  • Bβˆ’4+1=βˆ’3
  • Cβˆ’4+(βˆ’3)=βˆ’7
  • D4+(βˆ’3)=1
  • Eβˆ’4+(βˆ’1)=βˆ’5

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

  • A|3|
  • B|βˆ’7|
  • C|1|
  • D|βˆ’4|
  • E|5|

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 Number8811,2461,247882
Amount($)βˆ’52+56+38βˆ’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 βˆ’38∘F, and then it rose 45∘F, determine the current temperature.

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