Exam 3: Linear Equations and Inequalities in Two Variables; Functions

Solve the problem. -The formula for converting Fahrenheit temperature to Celsius is . If a bottle of prescription medicine is to be kept below 35° Celsius, how would you describe this warning using Fahrenheit temperature?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A high school graduating class is made up of 482 students. There are 154 more girls than boys. How many boys are in the class?

Choose the one alternative that best completes the statement or answers the question. -A student tried to solve the equation 8x = 56 by dividing each side by 56. Why is this not the correct procedure for solving this equation?

Choose the one alternative that best completes the statement or answers the question Solve the equation. -0.31(x + 20) + 0.42(x + 85) = -34.75

Solve the inequality. Write the solution set in interval notation and graph it. -8(x + 7) - 18x < 2( -4x - 2) - 3x

Choose the one alternative that best completes the statement or answers the question Solve the equation. --10 t + 5 = 9 + 8 t

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while angle C is 114 degrees larger than each of the other two angles. Find the measure of angle C.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Best Office Machines spent $ 84,570 this year on utility costs alone. If total sales were $ 513,300, what percent of total sales was spent on utility costs? Round to the nearest tenth of a percent, if necessary.

Solve the problem. -The formula for the perimeter of a rectangle is P = 2L + 2W. If P = 50 and W = 5, find the value of L.

Solve the problem. -A company that produces appliances has found that revenue from the sales of the appliances is $80 per appliance, less sales costs of $200. Production costs are $350, plus $70 per appliance. Profit (P) is given by revenue (R) less cost (C), so the company must find the production level x that makes P > 0, that is, R - C > 0. (a) Write an expression for revenue, R, letting x represent the production level (number of appliances to be produced.) (b) Write an expression for production costs C in terms of x. (c) Write an expression for profit P, and then solve the inequality P > 0. (d) Describe the solution in terms of the problem.

Solve the equation. - =

Find the best buy and give the unit price. -Brand X 25 oz for $ 1.75 Brand Y 20 oz for $ 1.20

Multiply by powers of 10. -0.8925 × 1000

Use a formula to solve the problem -What is the perimeter of a rectangle of length 10 ft and width 10 ft?

Provide an appropriate response. -What is the Multiplication Property of Equality?

Solve the formula for the specified variable. -A + b = s + r for r

Solve the equation. -7p - 12 = 6p - 8

Solve the problem. -The sides of a triangle are 8 inches, 11 inches, and 14 inches. If the shortest side of a similar triangle is 40 inches, find its longest side.

Solve the problem. -The appliance store where the Perrones shop offers a 9% discount for paying cash. The Perrones received a discount of $ 81. What was their total bill before the discount? Round to the nearest dollar.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A merchant has coffee worth $ 60 a pound that she wishes to mix with 80 pounds of coffee worth a pound to get a mixture that can be sold for a pound. How many pounds of the coffee should be used?