Grade 9 · Math · Algebra 1

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Polynomials: name them, then add and subtract

Grade 9 Math Worksheet - Building Confidence

NameDate

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

1.
Bo copies 4x³ − 9 onto a sticky note (the note keeps curling up). Is 4x³ − 9 a monomial, a binomial or a trinomial?
- trinomial
- binomial
- monomial
2.
Esme copies 8x − 5 onto a sticky note. Is 8x − 5 a monomial, a binomial or a trinomial?
- trinomial
- monomial
- binomial
3.
Jun copies x² − 3x + 10 onto a sticky note. Is x² − 3x + 10 a monomial, a binomial or a trinomial?
- trinomial
- binomial
- monomial
Kira writes 5x³ − 7x on the board, already in standard form. What is the degree of 5x³ − 7x?
Luz writes 4x² + 9x − 6 on the board, already in standard form. What is the degree of 4x² + 9x − 6?
Milo writes 6x⁴ − x + 8 on the board, already in standard form. What is the degree of 6x⁴ − x + 8?
Noah writes 3x⁵ + 10 on the board, already in standard form. What is the degree of 3x⁵ + 10?
Ren adds (2x² + 5x + 3) + (4x² + x + 2) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?
Bo works out (6x² + 8x + 7) − (4x² + 3x + 2) by first changing every sign in the second bracket. Type x² as x^2. What is the difference in standard form?
Esme works out (7x² + 5x + 6) − (3x² + 2x + 4) by first changing every sign in the second bracket. Type x² as x^2. What is the difference in standard form?

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.

More algebra 1

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