Exam 2: Linear Equations and Inequalities

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

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.

Suppose you have $7.20 in dimes and quarters. How many of each coin do you have if you have twice as many quarters as dimes?

Find the solution for the equation. __________

The circumference of a circle is given by the formula . Find if the circumference is 132 meters and is .

Solve for the indicated variable. for

Find the solution for the equation.

An accountant has money in three accounts that pay 8%, 10%, and 12% in annual interest. He has twice as much invested at 8% as he does at 10% and three times as much invested at 12% as he does at 10%. If the total interest from the three accounts if $372 for the year, how much is invested at each rate? ( Hint : Let x = the amount invested at 10%.)

Find the solution for the equation. __________

JoAnn works in the publicity office at the state university. She is paid $10 an hour for the first 32 hours she works each week and $15 an hour for every hour after that. If she makes $410 one week, how many hours did she work? __________ hours

One number is three less than another. Their sum is five. Find both numbers.

Mary Jo has $4.65 worth of nickels, dimes, and quarters. The number of nickels is 2 more than the number of dimes. The number of quarters is 7 more than the number of dimes. How many of each coin does she have? ( Hint : Let x = the number of dimes.)

For the graph below, write an inequality whose solution is the graph.

Katie has a collection of nickels, dimes, and quarters with a total value of $5.05. There are 2 more dimes than nickels and 5 more quarters than nickels. How many of each coin is in her collection? ( Hint : Let = the number of nickels.)__________ nickels, __________ dimes and __________ quarters

The difference of twice a number and 5 is between 1 and 3. Find the number.

What number is 25% of 200?

Evaluate the expression when is 5.

Solve the equation. = __________

The length of a rectangle is 3 times the width . If the perimeter is to be at least 32 meters, what are the possible values for the width? (If the perimeter is at least 32 meters, then it is greater than or equal to 32 meters.)

Solve the equation. = __________