Exam 1: Review of Algebra

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

Simplify; express the answer without radicals:

Solve: - 3x - 2 = 0

Simplify:

Simplify: ÷

Evaluate:

Completely factor: - 25

Rationalizing the denominator in gives

Solve: = x

Multiply and simplify: (4x - 3)( - x + 2)

Solve: - 2x - 1 = 0

Simplify: 1 +

The relationship between the temperature F on the Fahrenheit scale and the corresponding temperature C on the Celsius scale is given by = .Convert 77°F into a Celsius temperature.

Solve: - 6x + 9 = 0

The equations x - 7 = 0 and x(x - 7)= 0 are equivalent.

Perform the operation and simplify your answer:

Completely factor: + x - 12

Solve for x: ax + 3 = b(x +2)

Perform the operation and simplify your answer: - + 3

Divide the polynomial 2 + 3 + 5x + 7 by 2 + 5x + 1 to give the quotient and remainder.