Algebra II Review

Logs/Exponential Functions

100

What is the base in the function y=3 ^x ?

3

200

Rewrite log100=2 as an exponential function.

10²=100

300

Solve 3^2x=243.

5/2

400

Solve ln(3x+2)=ln(x-5)

-7/2

500

Solve log100=4x+1.

1/4

Factoring Review

100

Factor: 4x-6

2(2x-3)

200

Factor x²-9.

(x-3)(x+3)

300

Factor x²+5x+4

(x+4)(x+1)

400

Factor 3x²+x-2

(3x-2)(x+1)

500

Factor x³+x²+2x+2.

(x²+2)(x+1)

Rational Functions

100

Simplify (x-3)/ ((x-3)(x+2))

1/(x+2)

200

Simplify (x²-4)/ (x²+3x+2)

(x-2)/(x+1)

300

Solve (x+2)/6=0.

x=-2

400

Solve (x²+3x+2)/15=0.

What is x=-2,x=1.

500

(x+2)/(x-3)+(x-1)/(x+2)=2

x=19/2

Radical Functions

100

Reduce (72)^1/2

6*2^(1/2)

200

Solve x^4=81.

3 and -3

300

What is the solution of 2+x^(1/2)=6?

16

400

Simplify (27x^9y^3)^(1/3)

3x^3y

500

(4x)^(1/5)=2

8

Random

100

What is the end behavior of y=x³-6?

As x approaches neg. infinity, y approaches neg. infinity As x approaches + infinity, y approaches + infinity

200

Is x=0 a factor of x²+x-1?

no

300

What are the factors of x³-7x-6?

3, -2, -1

400

What is (x³*x²)^-2?

1/x¹⁰

500

The expression 600(2)^t can be used to determine the size of a population that grows over a period of time.  What does 600 represent in the expression?

What is the initial size of the population?