Exam 2: Linear Equations and Inequalities

The width of a rectangle is 2 feet less than the length. The perimeter is 24 feet. Find the length and width. The length is __________ feet. The width is __________ feet.

Use the formula to find if is . __________

A right triangle has one angle. Find the other two angles.

Simplify both sides of the equation as much as possible, and then solve.

Five times the difference of a number and six is negative twenty. Find the number.

Solve the equation. __________

Graph the compound inequality. or

Movie theaters pay a certain price for the movies that you and I see. Suppose a theater pays $540 for each showing of a popular movie. If they charge $4.50 for each ticket they sell, then they will lose money if ticket sales are less than $540. However, they will make a profit if ticket sales are greater than $540. What is the range of tickets ( x )they can sell and still lose money?

Simplify both sides as much as possible, and then solve. __________

Solve the equation.

John is 3 times as old as Martha. Seven years ago the sum of their ages was fifty-four. How old are they now? John is __________. Martha is __________.

Evaluate the expression when is -3 and y is 6.

Graph the solution set for the compound inequality. or

Solve the equation.

Solve for the specified variable using the given facts. Solve d = r t for t if d = 90 and r = 18.

Use the formula to find if is . __________

Graph the compound inequality. and

Solve the equation.

Solve the equation. Express your answer as an integer or a fraction reduced to lowest terms.

Solve the equation.