Worksheet: Absolute Value

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

Q1:

Evaluate | − 8 | ÷ 4 × | 3 | .

Q2:

Evaluate 6 + | − 4 | ÷ 1 .

Q3:

Given that | − 1 3 | = 𝑥 , what is the value of 𝑥 ?

  • A | 𝑥 | = 1 3
  • B 𝑥 = − 1 3
  • C | 𝑥 | = − 1 3
  • D 𝑥 = 1 3

Q4:

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

  • Afalse
  • Btrue

Q5:

− | − 6 4 | = .

Q6:

What is the absolute value of 0?

Q7:

On Wednesday, Nada 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

Q8:

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

  • Ano
  • Byes

Q9:

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

What are Maged’s and Bassem’s changes in weight?

  • AMaged: + 3 kg, Bassem: + 5 kg
  • BMaged: − 5 kg, Bassem: + 3 kg
  • CMaged: − 3 kg, Bassem: + 5 kg
  • DMaged: + 3 kg, Bassem: − 5 kg
  • EMaged: + 5 kg, Bassem: − 3 kg

Who had the larger change in weight?

  • ABassem
  • BIt was the same for both.
  • CMaged

Q10:

Given that | 1 0 | = 𝑦 , what is the value of 𝑦 ?

  • A | 𝑦 | = 1 0
  • B 𝑦 = − 1 0
  • C | 𝑦 | = − 1 0
  • D 𝑦 = 1 0

Q11:

Evaluate 1 2 + | − 6 | ÷ 1 .

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