College Algebra CLEP Review

-nomials

100

The expansion of (3-5b)²

What is 25b²-30b+9?

200

The expansion of (2x+3)³

What is (2x)³+3(2x)²(3)+3³(2x)+3³?

Or

What is 8x³+36x²+54x+27?

300

The value of a that makes 4a²+9 a perfect square.

What is 12a?

400

If x=-3 for the equation 

x³+3x²-ax-12=0, what is the value of a?

What is a=4

Logs

100

The value of log₅ SQRT(125) - log₂SQRT(2)

What is 1?

200

The expansion of log₁₀(xyⁿ)

What is log₁₀x + nlog₁₀y ?

300

The value of "y" in log₄(y + 2) = 3

What is 62?

400

The value of f(0) for the function f(x) = log₁₀10 + 9^x + (x - 2)(x - 1)

What is 4?

Functions

100

 The value of f(x + 5) when the function f is defined by f(x) = x2 + 3.

What is x² + 10x + 28?

200

The solutions of -16t²+56t+4=28 

What are 0.5 and 3.0 seconds?

300

The solution of the exponential function 4^2x = 64

What is 3/2?

400

The graph of f(x)=(-1/2)*(x+2)² + 3

Show a drawing of your graph.