Worksheets · Algebra 1

Evaluating expressions worksheet

Replace the letter with the number and work out what is left. The whole difficulty is negatives: write the number in parentheses when you substitute and the signs look after themselves.

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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 Expressions

Date Period

Evaluate each expression at the given value.

  1. Evaluate −6a+9 when a=−8
  2. Evaluate −4r−5 when r=−9
  3. Evaluate 3b−4 when b=−8
  4. Evaluate −2n+8 when n=−8
  5. Evaluate −7a−7 when a=9
  6. Evaluate −3y−3 when y=−9
  7. Evaluate −6n−3 when n=8
  8. Evaluate −7k+4 when k=−9
  9. Evaluate 2y+8 when y=9
  10. Evaluate 7x+5 when x=7
  11. Evaluate −4n−9 when n=9
  12. Evaluate n+5 when n=−7
  13. Evaluate 3k−3 when k=7
  14. Evaluate −n−2 when n=8
  15. Evaluate 2m−5 when m=8
  16. Evaluate −2r+8 when r=−9
  17. Evaluate −3x+8 when x=7
  18. Evaluate −4k−1 when k=9
  19. Evaluate 6v−9 when v=−9
  20. Evaluate −9a−2 when a=−8

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

Sigma Prep · sigmaprep.io/worksheets

Name

Evaluating ExpressionsAnswer keyVersion 1

Date Period

Evaluate each expression at the given value.

  1. Evaluate −6a+9 when a=−857
  2. Evaluate −4r−5 when r=−931
  3. Evaluate 3b−4 when b=−8−28
  4. Evaluate −2n+8 when n=−824
  5. Evaluate −7a−7 when a=9−70
  6. Evaluate −3y−3 when y=−924
  7. Evaluate −6n−3 when n=8−51
  8. Evaluate −7k+4 when k=−967
  9. Evaluate 2y+8 when y=926
  10. Evaluate 7x+5 when x=754
  11. Evaluate −4n−9 when n=9−45
  12. Evaluate n+5 when n=−7−2
  13. Evaluate 3k−3 when k=718
  14. Evaluate −n−2 when n=8−10
  15. Evaluate 2m−5 when m=811
  16. Evaluate −2r+8 when r=−926
  17. Evaluate −3x+8 when x=7−13
  18. Evaluate −4k−1 when k=9−37
  19. Evaluate 6v−9 when v=−9−63
  20. Evaluate −9a−2 when a=−870

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

How to do these

Evaluate −2x2+5 when x=−3

  1. Write it as -2(-3)² + 5.
  2. The parenthesis squared is 9, not -9.
  3. So it is -18 plus 5.

The answer is −13.

Where students go wrong

Substituting a negative without parentheses. At x = -3, x² is 9, and writing -3² instead gives -9, which is a different number and the wrong answer.

Also called substituting values, evaluate the expression, plugging in a value or evaluating algebraic expressions.

Questions about these worksheets

Yes. Every evaluating 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 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.

Substituting a negative without parentheses. At x = -3, x² is 9, and writing -3² instead gives -9, which is a different number and the wrong answer.