1. John found that his plane could fly at 6 times the speed of the wind. He flew 700 miles upwind in 3 hours more than took to fly 560 miles downwind. What was the speed of the plane in still air? 2. Find the number that is of the way from -3 to 5. 3. Find the equilibrant of 2/123 and 4/252. Write the answer in polar coordinates. 4. If a rectangle's length is increased by 30% and its width is decreased by 30%, what is the percent change in area? 5. Evaluate 10! 3!7! Do not use a calculator. 7. If f(x) = 1 , find f(x + h) = f(x). 8. Factor: 8x9-64ab2 9. If f(0) = cos and g(0) = tan , find f(540) + g(225). Do not use a calculator. 10. Evaluate: (a) sin (Arctan 1) (b) tan | Arccos $ 12). 11. The data points in the table below came from an experiment that involved salt (S) and carbon (C). Note that in the graph to the right the horizontal and vertical scales are different. The position of the line that best fits the data points is estimated. Write the equation that expresses salt as a function of carbon (S = MC + b). Carbon in grams 48 Salt in grams 5.8 70 90 108 130 132 158 13.4 75 10.4 x - 3 15. If f(x) = x2 5x + 6 find the domain of f. . 17. Given: ZABC = LDCB ZBCA LCBD 12.8 11.3 14.4 18. Solve forx: (a) logx Write a two-column proof to prove: AC = DB -27 64 = 3 (b) log3 1 27 = X 6. Evaluate: = xis shown on the left. On 19. The graph of f(x) the right, the graph is reflected in the y axis. Write the equation of the graph on the right. ay Do not use a calculator. X Salt in grams 3 2j 222/1/1/ + j 14 12 10 12. The class ran mi feet at: feet per minute and arrived at lunch 3 minutes late. How fast should they have run to have arrived on time? 13. Five students could do 100 math problems in 2 hours. How long would it take 10 students to do 1000 math problems? 14. Erica could do 10 math problems in 20 minutes. Penny could do 15 math problems in 25 minutes. If they worked together, how many minutes would it take Erica and Penny to do 30 math problems? (c) log1/3 x = -4 8 6 A 40 O EE O 16. Find the inverse function of y = E 80 120 150 200 Carbon in grams O CC ol : 3x + 5 6x9 20. In the figure shown, EF is the median of trapezoid ABCD. Find x. EB 2x1.C D 7-11. 8 F D