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Worksheet: Absolute Value

In this worksheet, we will practice evaluating numerical expressions containing absolute values and using this to solve word problems.

Q1:

State whether the following is true or false: − 4 1 4 is equal to the absolute value of 4 1 4 .

  • Afalse
  • Btrue

Q2:

Given that , what is the value of ?

  • A
  • B
  • C
  • D

Q3:

Given that , what is the value of ?

  • A
  • B
  • C
  • D

Q4:

What is the absolute value of 0?

Q5:

Evaluate 6 + | − 4 | ÷ 1 2 .

Q6:

Evaluate 1 2 + | − 6 | ÷ 1 2 .

Q7:

Can the absolute value of a number ever be a negative number?

  • Ano
  • Byes

Q8:

Evaluate | − 8 | ÷ 4 × | 3 | .

Q9:

Benjamin and Jacob both weigh 78 kg. Benjamin would like to gain weight, while Jacob wants to lose weight. They decide to go on a diet. After one month, Benjamin weighs 81 kg and Jacob 73 kg.

What are Benjamin’s and Jacob’s changes in weight?

  • ABenjamin: + 3 kg, Jacob: + 5 kg
  • BBenjamin: − 5 kg, Jacob: + 3 kg
  • CBenjamin: − 3 kg, Jacob: + 5 kg
  • DBenjamin: + 3 kg, Jacob: − 5 kg
  • EBenjamin: + 5 kg, Jacob: − 3 kg

Who had the larger change in weight?

  • AJacob
  • BIt was the same for both.
  • CBenjamin

Q10:

On Wednesday, Isabella deposited $27 in her account. On Thursday, she withdrew $30. If you represent both of these situations by integers, which has the higher absolute value?

  • Awithdrawing $30
  • Bdepositing $27

Q11:

− | − 6 4 | = .

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