Exam 15: Mathematical Problem Set

Perform the indicated operations and write your result in lowest terms.

Liam invested some money in the Abernathy Fund at 7% simple interest and twice as much at twice the rate in the Carlson Fund. If the simple-interest income from the two funds totalled $5036.85, then how much was invested in each fund?

Does the point (5, -12) satisfy the inequality y  15x + 12?

A triangle has sides of length x inches, x + 1 inches, and x + 2 inches and its perimeter is given by x + (x + 1) + (x + 2) = 42 inches. Find the measures of the sides by solving the perimeter equation.

Frank rides his bike 6 mph faster than he walks. He can bike from home to work in the same amount of time that it takes him to walk from home to the park. If the distance from Frank's home to work is 9 miles and the distance from his home to the park is 3 miles, what is Frank's walking speed?

Perform the indicated operation. (s² - 5s + 5) - (s² - 4s - 6)

Perform the indicated operations and write your result in lowest terms.