Worksheets · Algebra 2

Algebra 2 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.

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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 −a2−2ab−b when a=−4 and b=0
  3. Evaluate −6m−1 when m=7
  4. Evaluate 4a2−4ab−b when a=−1 and b=3
  5. Evaluate −2b−4 when b=7
  6. Evaluate −4a2+2ab−b when a=5 and b=2
  7. Evaluate 8m+7 when m=9
  8. Evaluate −5a2+5ab−b when a=2 and b=−4
  9. Evaluate −4y−4 when y=−9
  10. Evaluate −5a2+2ab−b when a=−4 and b=−2
  11. Evaluate −2b+3 when b=−8
  12. Evaluate −3a2+2ab−b when a=3 and b=−3
  13. Evaluate 3y−1 when y=7
  14. Evaluate 4a2+2ab−b when a=−4 and b=−4
  15. Evaluate 6v−9 when v=−9
  16. Evaluate −2a2+5ab−b when a=−4 and b=−2
  17. Evaluate 3x−2 when x=8
  18. Evaluate −2a2+4ab−b when a=3 and b=−5
  19. Evaluate 6a−4 when a=7
  20. Evaluate 3a2+4ab−b when a=−4 and b=−5

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 −a2−2ab−b when a=−4 and b=0−16
  3. Evaluate −6m−1 when m=7−43
  4. Evaluate 4a2−4ab−b when a=−1 and b=313
  5. Evaluate −2b−4 when b=7−18
  6. Evaluate −4a2+2ab−b when a=5 and b=2−82
  7. Evaluate 8m+7 when m=979
  8. Evaluate −5a2+5ab−b when a=2 and b=−4−56
  9. Evaluate −4y−4 when y=−932
  10. Evaluate −5a2+2ab−b when a=−4 and b=−2−62
  11. Evaluate −2b+3 when b=−819
  12. Evaluate −3a2+2ab−b when a=3 and b=−3−42
  13. Evaluate 3y−1 when y=720
  14. Evaluate 4a2+2ab−b when a=−4 and b=−4100
  15. Evaluate 6v−9 when v=−9−63
  16. Evaluate −2a2+5ab−b when a=−4 and b=−210
  17. Evaluate 3x−2 when x=822
  18. Evaluate −2a2+4ab−b when a=3 and b=−5−73
  19. Evaluate 6a−4 when a=738
  20. Evaluate 3a2+4ab−b when a=−4 and b=−5133

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.

What you can put on this worksheet

Evaluating an expression
Evaluate 3v−5 when v=5 → 10
Two variables
Evaluate 4a+b when a=−2 and b=4 → −4
Division, parentheses and powers
Evaluate n2−m when m=7 and n=9 → 74
Three letters, nested brackets
Evaluate 3mn−p2+4 when m=5,n=−4,p=2 → −60

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 2 is usually taken around 10th or 11th 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.

You pick from 4: evaluating an expression, two variables, division, parentheses and powers and three letters, nested brackets. Tick as many as you want and set how many of each, or let it spread them evenly.

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.