Exam 2: Simplifying Expressions

If 26% of your monthly pay is withheld for federal income taxes and another 5% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $994.50 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.

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

Simplify the expression.

Evaluate the expression when is -4 and is 5.

Find the first four numbers of the sequence by substituting the counting numbers, in order, into the following expression.

Solve the equation.

Solve for .

The smallest angle in a triangle is as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.

Solve for the indicated variable. for

Solve the equation.

Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality.

Movie theaters pay a certain price for the movies that you and I see. Suppose a theater pays $1,040 for each showing of a popular movie. If they charge $6.50 for each ticket they sell, then they will lose money if ticket sales are less than $1,040. However, they will make a profit if ticket sales are greater than $1,040. What is the range of tickets ( x ) they can sell and still lose money?

Simplify the expression.

Find the solution for the equation. __________

Solve the equation.

Solve the equation.

Solve the following inequality using the multiplication property of inequalities. If you multiply both sides by a negative number, be sure to reverse the direction of the inequality symbol. Graph the solution set.

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

Katie has a collection of nickels, dimes, and quarters with a total value of $4.40. There are 2 more dimes than nickels and 4 more quarters than nickels. How many of each coin is in her collection? ( Hint : Let x = the number of nickels.)

Simplify the expression.