Exam 2: Linear Equations and Inequalities With One Variable

The owner of a gas station records the number of gallons of gas he sells over a period of time. He notices that the number of gallons of gas he sells depends linearly on the price he charges for each gallon. When he charges $1.67 per gallon of gas he sells 1000 gallons of gas each day. When he charges $2.49 per gallon he sells 600 gallons. Which one of the following equations model the number of gallons sold at price x ?

Given the solution set drawn on the number line give the solution in inequality notation.

The solution to the equation is

The solution to the equation is

The solution to the equation is

Given the solution set drawn on the number line give the solution in interval notation.

The solution to the equation is

The solution to the equation is

Simplify the equation .

The sentence below may be translated into which equation? The product of 5 and a number t is 85.

The solution to the equation is

The solution to the equation is

After taking a bath you begin to drain the water from the bathtub. The water drains at 0.5 gallon(s) per minute. After 11 minutes there are 24 gallons of water remaining. How many minutes will it take for the remaining gallons of water to drain from the tub?

A quantity Q is related to quantity R by the equation . Find the value of Q when .

Given the solution set drawn on the number line give the solution in interval notation.

Find an equation for the line that is perpendicular to and passes through .

The solution to the equation is

Solve the equation . Is the solution exactly one number all real numbers or none at all (no solution)?

If the slope of a line is m = then the change in the run is 20.

Find the equation of a line that passes through the points and .