Exam 1: Review of Algebra

Perform the operation and simplify your answer: ∙

Rationalize the denominator and simplify:

You are driving an average of 60 mph and want to predict how far you will go in a given amount of time.Write an equation which represents the miles d you have gone in t hours.

S = 2πrh is the formula for the surface area S of the curved surface of a cylinder having radius r and height h.You have a rectangular sheet of wrapping paper which has a length l and a width w.What is the radius of the largest-area cylinder having a height l that the wrapping paper will cover?

Completely factor: +

Solve for x: =

Simplify and express your answer in terms of positive exponents:

- is greater than 0.

Perform the operation and simplify your answer: +

Completely factor: - 16

Solve: = + 1

0 is an integer.

Solve: - x =

Solve: x - 4 = 3

Simplify:

Simplify:

Completely factor: + 6x + 9

Simplify and express your answer in terms of positive exponents:

Solve: - 9y - 12 = 0

Simplify: -