Alg 2 Unit 6 Review

Radicals

100

Rewrite as a radical: 

(-2)^(5/3)

What is 

root(3)((-2)^5

200

Simplify: 

root(3)(4) * root(3)(16)

What is 4

300

Simplify: 

sqrt(5) + sqrt(20)

What is 

3sqrt(5)

400

Simplify: 

root(3)(16) -root(3)(2)

What is 

root(3)(2)

500

Simplify: 

root(4)(32a^5b^8)

What is 

2ab^2*root(4)(2a)

Exponent Rules

100

Simplify: 

5^3 * 5^-3

What is 1

200

Simplify: 

10^(1/2)* 10^(3/2)

What is 100

300

Simplify 

27^(-1/3)

What is 

1/3

400

Simplify: 

(3^(1/2))^6

What is 27

500

Simplify: 

(6^(8/3))/(6^(2/3))

What is 36

Solve: nth roots

100

Solve: 

x^3 = -8

What is -2

200

Solve 

n^4 = 16

What is 

n = +-2

300

Solve 

(x-1)^3=27

What is 4

400

Solve 

2(x+3)^2=128

What is x = 5 or -11

500

Find the radius of a sphere if the volume is 113 cm³. 

V=4/3pir^3

What is 3cm

Solve radical eq.

100

Solve 

sqrt(2x)=8

What is x = 32

200

Solve 

root(3)(x)+1=4

What is x = 27

300

Solve: 

x^(3/4)+1=9

What is 16

400

Solve: 

sqrt(3x-5)=sqrt(5x+11)

What is x = -8

500

Solve: 

2(x-3)^(3/2)=54

What is x = 12

Inverse Functions

100

f(x) and f^-1(x) are inverses.

f(7) = 12

f-1(12) = ??

What is 7

200

f(x) = 2x - 5

Find f^-1(x).

What is 

f^(-1)(x)=(x+5)/2

300

f(x)=root(3)(x + 2)

Find f^-1(x).

What is 

f^(-1)(x)=x^3-2

400

Determine if f & g are inverse functions:

f(x)=1/2x+3

g(x)=2x-6

Yes, they are inverse functions

500

Determine if f & g are inverse functions:

f(x)=root(3)(2x)

g(x)=2x^3

no, they are not inverse functions