Exam 1: Review of Algebra

x + = 1

=

Multiply and simplify: (y - 3)(y + 7)

- =

The equation + = 2 has exactly how many roots?

Simplify: 2(-a - 2)+ 3

Rationalize the denominator and simplify:

Perform the operation and simplify your answer: + -

Multiply and simplify: (x + 1)(x + 4)

The time it takes an airplane to travel a given distance with a headwind (against the wind)can be calculated by dividing the distance by the difference of the speed of the airplane and the speed of the wind.Write an equation which calculates the time t it takes an airplane traveling at a speed r against a wind w to cover a distance d.Solve your equation for w.

Find the reciprocal of 3.

Simplify: (-4)÷ (-2 - 10)

Completely factor: 1 + 8t + 1

Simplify: +

Completely factor: 3ax + 9ay

Solve the equation y = mx + b for x if m = -2,b = 3,and y = 4.

( + 3x - 6)÷ (x + 2)=

Solve: (4x - 3)= 2