Created by Brent Momany
10 questions
9th Grade
Math
Updated Aug 2026
This Grade 9 mathematics worksheet gives students focused practice subtracting polynomials and simplifying the results. Through 10 multiple-choice questions, students distribute the subtraction sign, combine like terms, and identify correct simplified expressions involving one or more variables and different exponents. The worksheet also checks essential polynomial vocabulary and structure, including classifying a trinomial, identifying coefficients and constants, counting terms, finding degree, and recognizing like terms as terms with the same variables and exponents. Use it for guided practice, independent review, or a quick assessment of students’ readiness to work with polynomial expressions. This is a free printable worksheet with a complete answer key.
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This Grade 9 worksheet helps students subtract and simplify polynomial expressions by changing signs correctly, combining like terms, and selecting an equivalent expression from multiple-choice options. It also reinforces how to identify a polynomial’s terms, degree, coefficient, constant, and like terms, so students connect the calculation process with polynomial structure.
Begin by modeling how the subtraction sign affects every term in the second polynomial, then demonstrate combining only terms with matching variables and exponents. Have students explain why an option is correct or incorrect for expressions such as (4x² + x) − (x² + 2x), and use the vocabulary questions to review coefficients, constants, degree, and terms before independent completion.
Students may subtract the first term correctly but fail to change the signs of all terms in the polynomial being subtracted, or combine terms that do not have the same variables and exponents. In the vocabulary items, watch for confusing a coefficient with an exponent, counting numerical values instead of terms, or identifying the degree from the number of terms rather than the greatest exponent.
This Subtract Polynomials worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 10 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital version can be assigned directly for online practice or assessment.
Alongside polynomial subtraction, the worksheet reviews how to classify 3x + 5y² − 3 as a trinomial and how to identify a term’s coefficient, a polynomial’s constant, number of terms, and degree. It also asks students to recognize like terms by checking for the same variables and exponents, helping them apply the vocabulary needed to simplify expressions accurately.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.