multiverse

Word Problems

100

A cube has a volume of 27ft³, what are the measurements of the cube?

area= 3^ft

200

A cirle has a radius of 10, what is the area?

Area= 100π

πr² 

π10² 

100π. 

Converting Expressions

100

y^2 . y^{5 .} y

y⁸

200

u^{10 .} u^{17 .} u

u²⁸

300

(-7)^{2 .} (-7)^-3

(-7)^-1

400

3^{6 .} (-3)⁶

(3 ^. -3)⁶

500

7^{-3 .} 5 ^-3

(7 ^. 5)^-3

Converting Radicals

100

⁴√(x¹⁶)

x^16/4

200

³√(v)

v ^1/3

300

b ^3/5

(⁵√b)³

400

(10p)^3/4

(⁴√10p)³

500

a^2/3

(³√a)²

One-Step Radical

100

√t = 4

t = 16

200

√j = 20

j = 200

300

√v = 21

v = 441

400

√k = 8

k = 64

500

√m = 17

m = 289

Multi-step Radical

100

√(13+w) + 8 = 5

√(13+w) +8=5

               -8  -8

______________

√(13+w)²=-3²

          ^{Correct Answer: No Solution} 

200

√(c-5)-3=7

√(c-5)-3=7

         +3 +3

____________

√(c-5)²=10²

c-5=100

 +5  +5

c=105

300

√(y-7) =7

√(y-7) =7

√(y-7)² =7² 

y-7=7

 +7 +7

y=56

400

-2+√(a-10)=4 

-2+√(a-10)=4

+2              +2

√(a-10)²=6²

a-10=36 

 +10 +10

a= 46

500

√(w+12) +7=5

√(w+12) +7=5

              -7   -7

√(w+12)²=-2²

^{No Solution}