Proofs/Algebraic Rules

Exponent Rules

100

x*x³*x⁴

x⁸

200

(2x²y)(-3x³y⁴)

-6x⁵y⁵

300

x³/x^-2

x⁵

400

(2x³yz²)³

8x⁹y³z⁶

500

36m³n⁵/-9mn⁴

-4m²n

Properties

100

what property is this 

A+C=B+C

Additive property

200

what property is used here

20(x+5)= (20*x)+(20*5)= 20x+100

Distributive property

300

answer for x and state which property you used

180=10(5+x)

x=13

Multiplicative property

400

2x+3=3(2x+6)

distributive property 

x=-15/4

500

Simplify and tell what property you used

-3(x²+4x-2)

Distributive 

-3x²-12x+6

Radicals

100

square root of 90 * square root of 30 =

51.96 

200

7^{1/5 =} 

⁵ _{square root of 7}

300

square root of 125=

square root of 5² *5

400

the square root of 3*3*2*2*2=

square root of 72

500

make a factor tree to simplify 

the square root of 150

square root of 150

15 and 10 

3 and 5 and 2 and 5 (prime factors)

square root of 5*5*2*3

5 and root 6

Fun Fact

100

name the largest ocean in the world

the pacific 

200

name two countries that don't allow tattoos 

Japan and Iran

300

how many people died from war in ice land 

2

400

how much water is present in watermelon 

92%

500

How many miles do a typist's fingers travel during a day?

12.6 miles