Students identify terms, coefficients, constants, variable parts, and like terms in one-variable polynomials with numerical coefficients and nonnegative integer exponents, and classify polynomials by degree and number of terms. Students add, subtract, and simplify polynomials by combining like terms, apply the distributive property to expand products of monomials and manageable polynomials, multiply a polynomial by a monomial, and recognize equivalent expressions in standard form. Students factor out a common monomial by reversing the distributive property, using appropriate numerical factors and variable exponents while managing signs, parentheses, and integer or rational coefficients.
On this page:
- Master skills like “Add polynomials”, “Subtract polynomials”, and “Classify polynomials by degree” with unlimited, free practice problems
- Download (or modify) free worksheets on Polynomials you can use at home or in class with practice problems across all skills in this group including “Factor a common monomial factor”, “Simplify polynomial expressions”, “Multiply a polynomial by a monomial”.
- Start working on adaptive units like “Algebra - Identify and Combine Like Terms” or “Polynomials and Quadratics - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Polynomials: Individual Skills
Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Add polynomials
- Apply the distributive property to polynomials
- Classify polynomials by degree
- Classify polynomials by number of terms
- Factor a common monomial factor
- Identify terms and coefficients in polynomials
- Multiply a polynomial by a monomial
- Recognize equivalent polynomial expressions
- Simplify polynomial expressions
- Subtract polynomials
Practice 'Add polynomials'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 9 'Polynomials' Worksheet
Print this free 'Polynomials' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Add polynomials
- Apply the distributive property to polynomials
- Classify polynomials by degree
- Classify polynomials by number of terms
- Factor a common monomial factor
- Identify terms and coefficients in polynomials
- Multiply a polynomial by a monomial
- Recognize equivalent polynomial expressions
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Polynomials) through scaffolded problems that grow in difficulty as concepts are understood.