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’ 1 2 + 9 + 1 2 = .

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 2 + ( βˆ’ 1 3 ) + 4 , βˆ’ 7
  • B βˆ’ 2 + 1 3 + 4 , 15
  • C βˆ’ 2 + ( βˆ’ 1 3 ) + 4 , βˆ’ 1 1
  • D βˆ’ 2 + ( βˆ’ 1 3 ) + ( βˆ’ 4 ) , βˆ’ 1 9
  • E βˆ’ 2 + 1 3 + ( 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.

  • A 1 5 + ( βˆ’ 5 ) , βˆ’ 1 0
  • B 1 5 + 5 , 2 0
  • C βˆ’ 1 5 + 5 , βˆ’ 1 0
  • D 1 5 + ( βˆ’ 5 ) , 1 0
  • E βˆ’ 1 5 + ( βˆ’ 5 ) , βˆ’ 2 0

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 1 0 + ( βˆ’ 2 3 ) , βˆ’ 1 3
  • B βˆ’ 1 0 + 2 3 , 13
  • C 1 0 + 2 3 , 33
  • D ( βˆ’ 1 0 ) + ( βˆ’ 2 3 ) , βˆ’ 3 3
  • E βˆ’ 1 0 + 2 3 , βˆ’ 1 3

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 βˆ’ 1 , 1 1 0 + ( βˆ’ 3 2 5 ) , βˆ’ 1 , 4 3 5
  • B 1 , 1 1 0 + ( βˆ’ 3 2 5 ) , 7 8 5
  • C 1 , 1 1 0 + 3 2 5 , 1 , 4 3 5
  • D βˆ’ 1 , 1 1 0 + 3 2 5 , 7 8 5
  • E βˆ’ 1 , 1 1 0 + 3 2 5 , βˆ’ 7 8 5

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?

  • A βˆ’ 3 + 2 = βˆ’ 1
  • B 3 + 5 = 8
  • C βˆ’ 3 + ( βˆ’ 5 ) = βˆ’ 8
  • D 3 + ( βˆ’ 5 ) = βˆ’ 2
  • E βˆ’ 3 + 5 = 2

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

  • A ∣ βˆ’ 2 ∣
  • B ∣ βˆ’ 1 ∣
  • C ∣ 8 ∣
  • D ∣ 5 ∣
  • E ∣ βˆ’ 3 ∣

Q17:

Consider the following figure.

What sum does this diagram represent?

  • A 2 + ( βˆ’ 4 ) = βˆ’ 2
  • B 2 + 4 = 6
  • C βˆ’ 2 + ( βˆ’ 4 ) = βˆ’ 6
  • D 2 + ( βˆ’ 6 ) = βˆ’ 4
  • E βˆ’ 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?

  • A 4 + 6 = 1 0
  • B βˆ’ 4 + 6 = 2
  • C 4 + ( βˆ’ 6 ) = βˆ’ 2
  • D 4 + ( βˆ’ 2 ) = 2
  • E 4 + 2 = 6

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

  • A | βˆ’ 6 |
  • B | βˆ’ 2 |
  • C | 1 0 |
  • D | 4 |

Q19:

Consider the following figure.

What sum does this diagram represent?

  • A 5 + 2 = 7
  • B βˆ’ 5 + 2 = βˆ’ 3
  • C 5 + ( βˆ’ 7 ) = βˆ’ 2
  • D βˆ’ 5 + ( βˆ’ 2 ) = βˆ’ 7
  • E 5 + ( 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?

  • A 6 + ( βˆ’ 3 ) = 3
  • B βˆ’ 6 + ( βˆ’ 3 ) = βˆ’ 9
  • C βˆ’ 6 + 9 = 3
  • D βˆ’ 6 + 3 = βˆ’ 3
  • E 6 + 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?

  • A βˆ’ 4 + ( βˆ’ 9 ) = βˆ’ 1 3
  • B 4 + 5 = 9
  • C 4 + ( βˆ’ 5 ) = βˆ’ 1
  • D βˆ’ 4 + ( βˆ’ 5 ) = βˆ’ 9
  • E βˆ’ 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?

  • A 4 + ( βˆ’ 1 ) = 3
  • B βˆ’ 4 + 1 = βˆ’ 3
  • C βˆ’ 4 + ( βˆ’ 3 ) = βˆ’ 7
  • D 4 + ( βˆ’ 3 ) = 1
  • E βˆ’ 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 Number 881 1,246 1,247 882
Amount($) βˆ’ 5 2 + 5 6 + 3 8 βˆ’ 3 7

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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