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Worksheet: Adding and Subtracting Integers with Absolute Value

Q1:

Find | 2 2 ( 1 8 ) | .

Q2:

Find | 1 3 ( 6 ) | .

Q3:

Evaluate | 2 4 9 | + | 1 7 2 0 | .

Q4:

Evaluate | 2 4 4 | + | 2 1 1 9 | .

Q5:

The top of a buoy stands 2.6 meters above sea level, while its base stands at 2 5 of a meter below sea level. Which of the following expressions represents the distance between the top and the base of the buoy?

  • A 2 . 6 2 5
  • B | 2 . 6 | | | | 2 5 | | |
  • C 2 . 6 2 5
  • D | 2 . 6 | + | | | 2 5 | | |
  • E 2 . 6 + 2 5

Q6:

Which of the following is true?

  • A 9 + | 1 1 | < 2 0
  • B 9 + | 1 1 | = 2 0
  • C 9 + | 1 1 | > 2 0

Q7:

Which of the following is true?

  • A 9 > 8 + | 1 |
  • B 9 < 8 + | 1 |
  • C 9 = 8 + | 1 |

Q8:

Mt. Mansalu is the eighth highest mountain in the world, with its peak 8 1 5 6 meters above sea level. The shores of the Dead Sea, Earth’s lowest land elevation, are 430.5 meters below sea level. What is the difference between these two elevations?

Q9:

Evaluate the value of the following: | 3 | + 3 | 7 | .

Q10:

Evaluate the value of the following: | 5 | + 5 | 8 | .

Q11:

Evaluate the value of the following: | 9 | + 3 | 1 0 | .

Q12:

| 1 | + | 5 | = .

Q13:

| 5 | + | 4 | = .

Q14:

| 7 | + | 2 | = .

Q15:

Calculate | 5 7 | | 5 1 | .

Q16:

Calculate | 5 8 | | 1 4 | .

Q17:

Calculate | 8 8 | | 4 5 | .

Q18:

Select the correct expression that can be used to find the distance between 3 4 and 0 . 2 .

  • A 3 4 ( 0 . 2 )
  • B | | | 3 4 ( 0 . 2 ) | | |
  • C 3 4 0 . 2
  • D | | | 3 4 ( 0 . 2 ) | | |
  • E | | | 4 3 ( 0 . 2 ) | | |

Q19:

Fill in the blanks: | 8 1 | + = 0 .

Q20:

A fisherman on a boat spotted a fish 3 meters below sea level and a bird 4 meters above sea level. Which expression represents the distance between the fish and the bird?

  • A 4 3
  • B | 4 3 |
  • C 4 + 3
  • D | 4 ( 3 ) |
  • E 3 4

Q21:

A man is standing between two towers. One tower is 9 0 4 feet directly to his right, and the other is 9 8 3 feet directly to his left. Which of these expressions represents the distance between the two towers?

  • A | | | 4 9 0 3 9 8 | | |
  • B | | | 9 0 4 9 8 3 | | |
  • C 9 0 4 9 8 3
  • D | | | 9 0 4 9 8 3 | | |
  • E 9 0 4 9 8 3