Polynomial Game!

Writing Expressions

100

five times the quotient of seven and a number

5(7/x)

200

seven bottles of water split between thrice as many people

7x/21x

300

the total amount of money Bob earned plus double the amount Jeff earned

x+2y

400

two bags of Halloween candy split evenly between two classes

2c/x+y

500

the total price of two shirts but each are two dollars off

2x-4

Combining Like Terms

100

5x+6y-4x+3y-9

x+9y-9

200

-9x+7-x+5x-4y

-5x+7-4y

300

8x-7+6x+8

14x-15

400

3n+4-8n-1

-5n+3

500

-8+2d-7-5d+12

-3+(-3d)

Factoring the GCF

100

8x²+10x

2x(4x+5)

200

13a+20b

Prime

300

100x⁹+50z⁶-75z⁵

25z⁵(4z⁴+2z-3)

400

36rs²-108r²s³

36rs²(1-3rs)

500

23y¹⁰-46y⁷+68y²+10y

y(23y⁹-46y⁶+68y+10)

Distributive Property

100

-2.5(x+1)+3x

0.5x+2.5

200

10-9(5n-2)

-45n+28

300

4k-4(5k+8.1)

-16k+(-32.4)

400

3.25(-2y+1)

6.5y+3.25

500

3(x+8)-5x+2

-2x+26

Adding Polynomials

100

(4x³-2x²-12)+2(6x²+3x+8)

4x³-10x²-28+6x

200

-6x²-3x³+4+(-7x³+2x+4)+(-3x³+5x²+2)

-6x³-x²+2x+10

300

0.5(-2x²+4x-12)+0.25(54x²-10x)

-12.5x²+(-8x)-6

400

(x²-2)+(3x²+9x-9)

4x²-(-7)+9x

500

(9x²-7 1/3x+(-4))+(3x³-4 5/6x+-5)+(-4x²-2 1/3x-5)

5x²-1/6x+(-14)