Exam 2: Simplifying Expressions

Solve the equation. __________

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

JoAnn works in the publicity office at the state university. She is paid $14 an hour for the first 31 hours she works each week and $20 an hour for every hour after that. If she makes $594 one week, how many hours did she work?

In a right triangle, one of the acute angles is eight times as large as the other acute angle. Find the measure of the two acute angles.

The sum of a number and three is seven. Find the number.

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 inequality. Graph the solution set.

Solve the equation.

Solve the equation. __________

What number is 50% of 80?

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

A stockbroker has money in three accounts. The interest rates on the three accounts are 6%, 8%, and 10%. If she has twice as much money invested at 8% as she has invested at 6%, three times as much at 10% as she has at 6%, and the total interest for the year is $260, how much is invested at each rate? ( Hint : Let = the amount invested at 6%.) $ __________ invested at 6% $ __________ invested at 8% $ __________ invested at 10%

If 29% of your monthly pay is withheld for federal income taxes and another 7% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $984.50 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. Round the answer to the nearest dollar. $ __________ per month

One side of a triangle is twice the shortest side. The third side is 2 feet more than the shortest side. The perimeter is 22 feet. Find all three sides.

Solve the equation.

Use the formula to find if is . __________

Solve the equation.

Solve the equation. __________

Five times the sum of a number and nine is twenty. Find the number.

Evaluate the expression when is -3 and is 6.