1. A salesperson's weekly paycheck is 15% less than a second salesperson's paycheccks, and the total of the paychecks is $1125. What do each of the paychecks equal?
2. A family has a monthly mortgage payment of $760, or 16% of their monthly income. What is the monthly income of the family?
3. In order to get an A in a course, you must average at least 90% on four 100 point tests. If your scores on the first three tests were 87, 92, and 84, what must you score on the fourth test in order to earn an A in the course?
4. A nursery invested $40,000 in dogwood trees and red maple trees. The profit on a dogwood tree is 25%, the profit on a red maple tree is 17%, and the profit for the entire stock is 20%. How much was invested in each type of tree?
5. A grocer mixes peanuts that cost $1.49/pound and walnuts that cost $2.69/pound to make a 100 pound mixture. How much of each type
of nut was added by the grocer if the mixture costs $2.21/pound?
6. Solve the following quadratic equations by factoring
(a) x2 - 2x - 8 = 0
(b) 9x2 = 36
(c) (x + 2)2 = 16
(d) 18x2 - x - 16 = 0
7. Solve the following quadratic equations by completing the square
(a) x2 + 8x + 14 = 0
(b) 3x2 - 4x - 7 = 0
8. Use the Quadratic Formula to solve the following equations
(a) 16x2 + 8x - 3 = 0
(b) x2 - 10x + 22 = 0