Monomials and Polynomials

Degrees and Terms

100

Classify  7a³b⁴  by degree and number of terms

quartic monomial

200

Classify 3x²-5xyz+2 by degree and number of terms

quadratic trinomial

300

Classify 8x²-3x⁵+12x-x⁴ by degree and number of terms.

quintic polynomial

400

Put the following in standard form

x² -4xy² -4y⁴ +2x³ y³ +7x² y³

2x³ y³+7x²y³ -4y⁴  -4xy² +x²

500

Classify 5 by degree and number of terms.

constant monomial

Simplify Monomials

100

Simplify 5xy² /xy

5y

200

Simplify (3x⁴ y^-2)²

9x⁸/y⁴

300

Simplify 2p^-1g³z^-3

2g³ /pz³ 

400

Simplify x⁴ y⁶ /x^-1 y^-7

x⁵y¹³

500

Simplify (5x^-1 /2y^-3 )^-3

8x³ /125y⁹

Multiply Polynomials

100

What is 3xy(x²-5x+2)?

3x² y-15x²y+6xy

200

2(x²-xy+3y²)+3x²+4xy-5y²

5x²+2xy+y²

300

What is the product of (7x+3x+1)(x-5)?

10x² -49x-5

400

What is the product of (x-5)(x² +4x-2)

x³ -x² -22x+10

500

What is the product of 3a²b³(6ab-2a⁴b²+5)?

18a³b⁴-6a⁶b⁵+15a²b³

Dividing

100

What is (xyz)⁰ /(xyz)¹?

1/xyz

200

What is 25x⁰ / 75x?

1/3x

300

(4xy² -2xy+2x² y)/xy

4y+2x-2

400

Solve by long division or synthetic

(x⁵ -4x³ +4x² ) /(x-4)

x⁴ +4x³ +12x² +52x+208+(832/(x-4))

500

Solve by long division or synthetic division:

(3x⁴ -5x³ +x² +7x)/(3x+1)

x³ -2x² +x+2-(2/(3x+1))

Miscillaneous

100

How many snow days we have had this year?

3

200

What town does Mrs. Beigel live in?

Dunstable

300

Number of freshmen in this class.

10

6

400

The 6th planet from the sun.

Saturn

500

 Mrs. Beigel's profession if she wasn't a teacher.

a. Dolphin Trainer

b. Nurse

c. Doctor

d. Lawyer

Dolphin Trainer