Grade 9 · Math · Algebra 1

9th grade Polynomials: name them, then add and subtract worksheet

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Polynomials: name them, then add and subtract

Grade 9 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

Ren's polynomial uses two letters: 6x⁴y⁴ − 5xy. What is its degree?
Tala's polynomial uses two letters: x²y⁵ + 4x⁴ − 9. What is its degree?
Zee's polynomial uses two letters: 5x²y⁴ + 7xy − 2. What is its degree?
Bo's triangle (feet, x ≥ 2) has perimeter 2x² + 9x + 4 and sides x² + 3x + 1 and x² + 2x − 2. Type x² as x^2. What is the third side?
Esme's triangle (feet, x ≥ 2) has perimeter 2x² + 9x + 6 and sides x² + 2x + 3 and x² + 3x − 1. Type x² as x^2. What is the third side?
Jun's triangle (feet, x ≥ 2) has perimeter 3x² + 5x + 9 and sides x² + 4 and x² + 2x + 1. Type x² as x^2. What is the third side?
Kira's triangle (feet, x ≥ 2) has perimeter 2x² + 9x + 8 and sides x² + 2x + 5 and 3x + 4. Type x² as x^2. What is the third side?
Luz has tiles showing x² + 3x − 5 and wants 4x² − x + 2. Type x² as x^2. What polynomial must Luz add?
Milo has tiles showing 2x² − 4x + 1 and wants 5x² + 2x − 3. Type x² as x^2. What polynomial must Milo add?
Pia has tiles showing −x² + 2x + 7 and wants 3x² − 6x + 1. Type x² as x^2. What polynomial must Pia add?

9th grade Polynomials: name them, then add and subtract worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Polynomials: name them, then add and subtract. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can name a polynomial by its number of terms and give its degree and leading coefficient.
I can write a polynomial in standard form.
I can add and subtract polynomials by gathering matching parts.

Standard: A-APR.A.1

Words to know

term: One piece of a polynomial, joined to the others by + or −.

monomial, binomial, trinomial: A polynomial with 1, 2 or 3 terms.

degree: The highest power of x (with two letters, add each term's powers).

standard form: Terms written from the highest power down.

leading coefficient: The number in front of the highest-power term, with its sign.

like terms: Terms with the same letters and the same powers.

Common mistakes

Your child named the polynomial by its highest power instead of counting its terms.

Your child gave the number of terms as the degree.

Your child gave the number in front of the first term instead of its power.

What to say

Ask: how many pieces are joined by + or −?

Ask: which power of x is the biggest?

Ask: which is the small raised number?

Questions parents ask

What is the most common mistake with polynomials: name them, then add and subtract?

Your child named the polynomial by its highest power instead of counting its terms.

How can I help my child with polynomials: name them, then add and subtract?

Ask: how many pieces are joined by + or −?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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