Algebra 1 · Chapter 7 · Lesson 7.3 · Printable PDF

Adding and Subtracting Polynomials Worksheet with Answer Key

8 problems on adding and subtracting polynomials: combining like terms in standard form, several variables, sorting like terms, subtracting sums, degree of a difference, an expression with a fraction term, and the area of a lawn with a bed removed. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Adding and subtracting polynomials worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Add or subtract the polynomials and write each result in standard form.
  2. Simplify expressions with several variables by matching the power on each letter.
    (3r^2s^2 - rs + 2) + (r^2s - rs + 5r^2s^2)(2xyz - 4xz + yz) - (-xyz + yz - 3)(m^2n - 2mn^2) + (3mn^2 + n^3) + (-m^2n + mn^2 - 2n^3)
  3. Sort eight terms into groups of like terms and combine them.
  4. Subtract the sum of two polynomials from a third, then subtract them one at a time.
  5. Find the degree of the difference of two polynomials and explain why.
  6. Simplify a sum with a fraction term and decide if the answer is a polynomial.
  7. Park lawn problem: subtract the flower bed area from the lawn area.
  8. Find the numbers that belong in the boxes of a polynomial subtraction.

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Adding and subtracting polynomials: the lesson ›

More Chapter 7 worksheets: Polynomials and their operations