Algebra Polynomials Review

Like Terms

100

Write a like term for x²

Answers will vary

200

What IS a like term for 10y³?

a) 4x³

b) 2y

c) 3xy³

d) 2y³

2y³

300

Write down the 2 like terms from the following list:

5xy²         -3xy        2x²y²        20xy       11x²y

-3xy and 20xy

400

True or False: I can NEVER add or subtract (combine) like terms.

Then, decide which expression you CAN simplify.

      1)  2x²+9x²

      2)  2x² + 9x

FALSE. ALWAYS combine like terms.

I can NEVER add or subtract _____________ terms. (bonus 100)

#1 CAN be simplified. 

500

Of the following terms, there are 2 sets of like terms. Circle one set and underline the other!

3x²        2y²          -5x²             5xyz          2xyz²      4zyx        5xy²

3x² and -5x²

5xyz and 4zyx

Degree and Name

100

What is the degree of the monomial:

5x⁴

4

200

What is the degree of the binomial?

3x² + 20x 

2

300

What is the degree and name of the polynomial?

8x⁵-4x³ +10

degree 5, trinomial or "5th degree trinomial"

400

What is the degree and name of the polynomial?

40

0 degree monomial "0th degree monomial"

500

What is the degree and name of the polynomial?

9x² +2x⁴ + 15x

Degree 4 trinomial, or "4th degree trinomial"

Product Rule

100

x⁸  * x⁷

x¹⁵

200

2x³ * 8x⁵

16x¹⁵

300

-4x³ * 2x

-8x⁴

400

10x⁵y¹¹ * 4x³y²

40x⁸y¹³

500

20x³yz² * 8xyz^-1

160x⁴y²z

Quotient Rule

100

y⁵ / y³

y²

200

24x⁵ / 8x⁴

3x

300

10x⁴ / x

10x³

400

16x⁷y¹⁹ / 8x³y¹⁰

2x⁴y⁹

500

6x⁵y²z / 2x^-2yz

3x⁷y