Worksheets · Algebra 1

Evaluating absolute value expressions worksheet

Absolute value is how far a number is from zero, so it is never negative. Work out what is inside first, then take the distance.

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Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Evaluating Absolute Value

Date Period

Evaluate each expression.

  1. Evaluate 7∣−5x+15∣ when x=−7
  2. Evaluate −6∣−4x−7∣ when x=−6
  3. ∣5−1∣−9
  4. Evaluate 7∣−4x+9∣ when x=6
  5. Evaluate −6∣4x+3∣ when x=−7
  6. Evaluate −9∣4x−1∣ when x=8
  7. Evaluate 9∣−4x+15∣ when x=8
  8. Evaluate 8∣−4x+5∣ when x=7
  9. ∣15−15∣−6
  10. ∣−5+8∣+2
  11. Evaluate −8∣4x−5∣ when x=6
  12. Evaluate 6∣−4x−2∣ when x=−8
  13. Evaluate 6∣4x+4∣ when x=8
  14. ∣−15−11∣+2
  15. ∣12+4∣−3
  16. Evaluate 8∣4x+5∣ when x=8
  17. ∣−5−4∣+15
  18. ∣−2−12∣−4
  19. ∣5+8∣−11
  20. ∣−9+12∣−4

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Evaluating Absolute ValueAnswer keyVersion 1

Date Period

Evaluate each expression.

  1. Evaluate 7∣−5x+15∣ when x=−7350
  2. Evaluate −6∣−4x−7∣ when x=−6−102
  3. ∣5−1∣−9−5
  4. Evaluate 7∣−4x+9∣ when x=6105
  5. Evaluate −6∣4x+3∣ when x=−7−150
  6. Evaluate −9∣4x−1∣ when x=8−279
  7. Evaluate 9∣−4x+15∣ when x=8153
  8. Evaluate 8∣−4x+5∣ when x=7184
  9. ∣15−15∣−6−6
  10. ∣−5+8∣+25
  11. Evaluate −8∣4x−5∣ when x=6−152
  12. Evaluate 6∣−4x−2∣ when x=−8180
  13. Evaluate 6∣4x+4∣ when x=8216
  14. ∣−15−11∣+228
  15. ∣12+4∣−313
  16. Evaluate 8∣4x+5∣ when x=8296
  17. ∣−5−4∣+1524
  18. ∣−2−12∣−410
  19. ∣5+8∣−112
  20. ∣−9+12∣−4−1

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

∣3−8∣+2

  1. Inside first: 3 - 8 is -5.
  2. The distance from zero is 5.
  3. Then add 2.

The answer is 7.

Where students go wrong

Making the whole expression positive rather than just what is inside the bars. In -3|x| the minus sits outside, so the answer is negative however positive the absolute value is.

Also called absolute value expressions, modulus or distance from zero.

Questions about these worksheets

Yes. Every evaluating absolute value expressions sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the evaluating absolute value expressions questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Making the whole expression positive rather than just what is inside the bars. In -3|x| the minus sits outside, so the answer is negative however positive the absolute value is.