Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Start Practicing

Worksheet: Evaluating Expressions Involving Absolute Values

Q1:

Given that π‘₯ = βˆ’ 1 6 , evaluate | | | βˆ’ 8 π‘₯ + 1 6 π‘₯ βˆ’ 8 π‘₯ | | | 2 3 .

Q2:

Given that π‘Ž = 6 5 and 𝑏 = βˆ’ 2 4 5 , find | | π‘Ž Γ· 𝑏 | | 2 2 .

  • A 1 4
  • B βˆ’ 1 1 6
  • C βˆ’ 1 4
  • D 1 1 6

Q3:

Evaluate 3 | 𝑐 | + 𝑏 for 𝑐 = 9 and 𝑏 = βˆ’ 6 .

Q4:

Evaluate | π‘Ž + 9 | for π‘Ž = βˆ’ 8 .

Q5:

If ( | π‘₯ | , 4 9 ) = ( 9 , 𝑦 ) 2 , and the point ( π‘₯ , 𝑦 ) lies in the second quadrant, find 7 π‘₯ βˆ’ 1 0 𝑦 .

Q6:

Evaluate | π‘Ž βˆ’ 1 9 | for π‘Ž = 2 .

Q7:

Given that | 𝑦 | = 1 2 , determine 𝑦 .

  • A 𝑦 = 1 1 2 or 𝑦 = βˆ’ 1 1 2
  • B 𝑦 = 1 4 4 or 𝑦 = βˆ’ 1 4 4
  • C 𝑦 = | 1 2 | or 𝑦 = | βˆ’ 1 2 |
  • D 𝑦 = 1 2 or 𝑦 = βˆ’ 1 2