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

NameDate

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

Kira copies 5x − 4x³ + 2 from the board. Once it is in standard form, what is its leading coefficient?
Milo copies 3x² − 8 + 7x⁴ from the board. Once it is in standard form, what is its leading coefficient?
3.
Ren wants 7 − 3x² + x in standard form. Which of these is it?
- 7 + x − 3x²
- 3x² − x + 7
- −3x² + x + 7
4.
Tala wants 5x² + 8 − 6x³ in standard form. Which of these is it?
- 8 + 5x² − 6x³
- −6x³ + 5x² + 8
- 6x³ + 5x² − 8
5.
Zee wants −2x + 6x² − 1 in standard form. Which of these is it?
- −6x² + 2x − 1
- −1 − 2x + 6x²
- 6x² − 2x − 1
Ari adds (4x² − 3x + 5) + (−x² + 7x − 8). Type x² as x^2. What is the sum in standard form?
Jun adds (x² − 9) + (4x² + 3x + 2). Type x² as x^2. What is the sum in standard form?
Kira works out (5x² + 3x − 2) − (2x² − 4x + 6). Type x² as x^2. What is the difference in standard form?
Milo must subtract (3x² − 2x + 5) from (7x² + x − 1). Type x² as x^2. What is the result in standard form?
Pia must subtract (x² + 4x − 7) from (4x² − 3x + 2). Type x² as x^2. What is the result 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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