Exam 3: Applications of Algebra

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -Because the budget cutbacks, MaryAnn was required to take a 19% pay cut. If she earned $51,000 before the pay cut, find her salary after the pay cut.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A couch sells for $1280. Instead of paying the total amount at the time of purchase, the same couch can be bought by paying $300 down and $90 a month for 12 months. How much is saved by paying the total amount at The time of purchase?

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A 12-ft. board is cut into 2 pieces so that one piece is 4 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A motorcycle traveling at 60 miles per hour overtakes a car traveling at 30 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles?

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -Janel Leith drives her moped for a number of hours at 20 miles per hour. When traffic slows, she drives at 10 miles per hour. She travels at 10 miles per hour for one-half hour longer than she traveled at 20 miles per hour. The difference in the distance traveled at 10 mph and 20 mph is 19 miles. Determine how long Janel traveled at 10 miles per hour.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -During a hurricane evacuation from the east coast of Georgia, a family traveled 240 miles west. For part of the trip, they averaged 50 mph, but as the congestion got bad, they had to slow to 10 mph. If the total time of travel Was 9 hours, how many miles did they drive at the reduced speed?

Write an equation to represent the problem. -Michele has a dollhouse, (which is an exact replica of her "real" house), in which the size of the dollhouse is 1 th the size of her "real" house. The difference between the length of a side of her "real" house and the length 16 Of a side of her dollhouse is 96 feet.

Express the statement as an algebraic expression. -Alexander is t years old. Write an expression that represents Chandler's age if he is 4 times as old as Alexander.

Determine what x =. -Ryan has 67 plastic blocks that are either yellow or green.

Express the statement as an algebraic expression. -The sum of a 76 and a number

Solve the problem. -The measure of one angle of a quadrilateral is three times the smallest angle; the third angle is 12° greater than the smallest angle; and the fourth angle is 70° less than twice the second angle.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -An auto repair shop charged a customer $417 to repair a car. The bill listed $57 for parts and the remainder for labor. If the cost of labor is $45 per hour, how many hours of labor did it take to repair the car?

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -The local clothing store marks up the price that it pays to the clothing manufacturer by 30%. If the selling price of a pair of jeans is $105, how much did the clothing store pay for the jeans?