2 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 1 (d) x2 x 16 = 0 8 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 1