Monomials

Add/Subtract

100

3xy²  + 10xy²

13xy²

200

14xyz - 8xy²z

14xyz - 8xy²z

300

20xyz - 12xy² + 3xyz

23xyz -12xy²

400

3ab² + 11ac³ - ab² + 2ac³

2ab² + 13ac³

500

-23x²y²  + 17x²y²  - 5x²y² 

-11x²y²

Product rule

100

2x²y²(9x²y²)

18x⁴y⁴

200

4xy(4x²y³)

16x³y⁴

300

(4a²b³c)5abc³

20a³b⁴c⁴

400

-2xy³(10xy²z)(5x⁴z)

-100x⁶y⁵z²

500

(2xy)(4x²y²)  +  (5xy³)(-8x²) 

-32x³y³

Power rule

100

(8xy)²

64x²y²

200

(3x³y²z)³

27x⁹y⁶z³

300

(2ab²)⁴ 

16a⁴b⁸

400

(5xyz²)³

125x³y³z⁶

500

(2a²bc³)⁵

32a¹⁰b⁵c¹⁵

Quotient rule

100

4x⁵y(-2x²)

-8x⁷y

200

18a⁴b³c⁴  divided by 3ab²c³

6a³bc

300

12ab⁴c⁵  divided by 4ab²c²

3b²c³

400

(36x⁴y⁴) divided by (12xy)

3x³y³

500

44xy² divided by 4xy

11y

Random

100

In a multiplication problem, what do you do to the exponents?

Add them.

200

Factor x² - x - 42

(x - 7)(x + 6)

300

Factor 2x³ +10x

2x(x² + 5)

400

Factor 2x² + 3x + 1

What is (x + 1) (2x + 1)

500

What does a negative exponent mean?

ex. 5^-1 =

Write the answer on the bottom of a fraction with 1 as a numerator.

ex. 1/5