Exam 1: Review of Algebra

Solve: - 4x + 1 = 0

Perform the operation and simplify your answer:

Simplify:

Completely factor: + 8 - 20

Completely factor: + 8t + 6

Simplify:

Simplify: +

Solve the equation by factoring: - 2x - 5 = 0

Simplify: (-4)(-2)

Simplify the following; express your answer with no radical in the denominator:

The volume of a rectangular prism with a square base and height which is times as long as its width is 4 times its width.What are the dimensions of the rectangular prism?

Alice bought a house for $250,000.Eight years later,she was able to sell it for the price that was 50% more than the original purchase price.If the realtor's fees are 5%,what is Alice's profit after the realtor fees are paid?

Perform the operations and simplify: x(x + 4)- (x + 2)(x - 1)

State the property of real numbers that is being used: (4 + x)+ y = 4 + (x + y)

The time it takes a boat to travel a given distance downstream (with the current)can be calculated by dividing the distance by the sum of the speed of the boat and the speed of the current.Write an equation which calculates the time t it takes a boat moving at a speed r against a current c to travel a distance d.Solve your equation for r.

Divide and simplify:

Find s explicitly in terms of the other unknowns: 2s + 3p + st = q

Completely factor: - 8x

( ) =

Simplify: 7 ÷