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Worksheets›Algebra 1›Polynomials & factoring›Adding and subtracting polynomials

Adding and Subtracting Polynomials Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Algebra 1CCSS HSA.APR.A.1Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Adding quadratics

  1. 1.(x2 + 6x + 8) + (−x2 − 6x − 8)
  2. 2.(−4x2 + x − 4) + (−2x2 − 5x + 5)
  3. 3.(6x2 + 7x + 9) + (−5x2 + 7x − 8)
  4. 4.(−5x2 + 8x − 1) + (8x2 − 2x + 1)
  5. 5.(−x2 + x + 4) + (4x2 − 2x − 2)
  6. 6.(2x2 + 5x + 1) + (2x2 + 1)
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Like terms have the same variable and power. When subtracting, change the sign of every term in the second polynomial, then combine.

Easy(5x2 + 7x + 8) + (6x2 − 3x − 1)Adding quadraticsMedium(3x2 + 5x − 6) − (4x2 + 2x + 4)Subtracting quadraticsHard(−5x3 + 4x − 3) − (−6x2 − 3)Cubics with missing terms

How to solve it: a worked example

Simplify. Write each answer in standard form.

  1. Start(−x2 − 2x − 2) + (5x2 + 5x + 7)
  2. Combine like terms4x2 + 3x + 5
  3. Answer4x2 + 3x + 5

Common mistakes to watch for

  • Changing the sign of only the first term of the polynomial being subtracted.
  • Adding the exponents of like terms: 2x² + 3x² = 5x², not 5x⁴.
  • Combining x² and x terms as if they were like terms.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Multiplying polynomialsFactoring trinomialsFactoring: GCF and special productsMulti-step inequalitiesAbsolute value equations

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix adding and subtracting polynomials with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.