Exam 2: Linear Equations and Inequalities

Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation. __________

Solve the equation. = __________

The product of a number and five is greater than the number minus nine. Find the solution set.

A stockbroker has money in three accounts. The interest rates on the three accounts are 8%, 10%, and 12%. If she has twice as much money invested at 10% as she has invested at 8%, three times as much at 12% as she has at 8%, and the total interest for the year is $384, how much is invested at each rate? ( Hint : Let x = the amount invested at 8%.)

Evaluate the expression when is -3 and is 5.

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

The nutrition label in the table below is from a quart of vanilla ice cream. What percent of the calories in one serving of the vanilla ice cream are fat calories? __________ %

The cost of a long-distance phone call is $0.38 for the first minute and $0.35 for each additional minute. If the total charge for a long-distance call is $6.68, how many minutes was the call?

A collection of dimes and quarters has a total value of $4.95. If there are 3 times as many dimes as quarters, how many of each coin is in the collection?

The volume of a cylinder is given by the formula . Find the height if the volume is 14 cubic feet, the radius is feet, and is . __________ feet

Find the solution for the equation. __________

Simplify the expression.

If 24% of your monthly pay is withheld for federal income taxes and another 8% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $992.50 a month in take-home pay, then the amount you earned before the deductions were removed from your check is given by the equation . Solve this equation to find your gross income to the nearest dollar.

Solve the equation.

The width of a rectangle is 4 feet less than the length. The perimeter is 24 feet. Find the length and width.

Solve. __________

Solve the inequality. Graph the solution set.

Solve the equation. __________

JoAnn works in the publicity office at the state university. She is paid $13 an hour for the first 31 hours she works each week and $22 an hour for every hour after that. If she makes $579 one week, how many hours did she work?

The length of a rectangle is 12 inches less than twice the width. The perimeter is 60 inches. Find the length and width. The length is __________ inches. The width is __________ inches.