Practice 4π−10 π 1. Find an explicit formula for the arithmetic sequence -11,-3,5,13,... 2. Solve for k. 3. (π π₯ )π¦ 4. Factor 3π₯ 2 − 6π₯ − 9 5. What is the equation of the line of reflection that reflects quadrilateral ABCD onto quadrilateral A’B’C’D’ 6. 7. In the triangle shown below the measuer of angle C is (π₯ + 30). The measure of angle A is a. (90 − π₯) b. (60 − π₯) c. (120 − π₯) d. (π₯ − 60) e. (π₯ − 120) 8. The perimeter of the semicircular top is what in terms of π. =8 3 3 3 9. When π₯ 3 + 3π₯ 2 − 2π₯ + 7 ππ πππ£ππππ ππ¦ π₯ + 1, what is the remainder? 10. Reduce to lowers terms 11. 12. What is the area of the triangle shown below? 13. What is the equation of the line tangent to the circle π₯ 2 + π¦ 2 = 25 at the point (3,4). 14. Suppose 6 = π¦ and that x=2 when y=12. What is x 15. 16. 17. 18. π₯ when y is 8? π 2π₯ 2 −3π₯−2 10+π₯−3π₯ 2 19. 20. 21. 22. 23. The triangle based oblique pyramid has a volume of 1 13ππ3 . Given π = 3 ∗ πππ π ππππ ∗ βπππβπ‘ what is the height of the pyramid? 24. Quadrilateral K’ is the image of quadriateral k under dilation. What coordinate point is the center of Dilation? 25. Find the coordinates of B if B is the midpoint of Μ Μ Μ Μ π΄πΆ Μ Μ Μ Μ . and C is the midpoint of π΄π· 26. Μ Μ Μ Μ π΄π΅ = 22 Μ Μ Μ Μ π΅πΆ = 9 Μ Μ Μ Μ π΄πΆ = 27. Find the coordinates of G if F (1, 3.5) is the midpoint of Μ Μ Μ πΊπ½ and J has coordinates (6, -2) 29. 28. Find the perimeter of the polygon: Triangle XYZ with vertices X (1, 6), Y (-5, 2), and Z (5, -4) 30. 31. Using the following coordinates π(−5,4), π΅(3, −4), π(4,4), π(−2, −2) a. Calculate the slope of AB and XY b. Are the sides parallel, perpendicular, or neither 33. Use Elimination to solve the system 35. Find the measure of angle SOR 37. George who exactly 6 feet tall notices that his shadow is 7.5 feet long. And the shadow of a nearby tree is 22.5 feet long. How tall is the tree? Draw a diagram and write a proportion to find the height of the tree. 32. Use substitution to solve the system of equations 33. 34. A bank contains 60 coins. There are only nickels and quarters in the bank. The total value of the coins is $6.40. Write a system of equations to determine how many of each coin there is and then solve the system. 36. Find the measure of angle ABC 38. True or False: β PQR ≅ β XYZ. Show your reasoning. P(1, -5), Q(9, 0) R(-1, 6) X(3, 1) Y(11, 6) Z(1,12) 39. 40. 41. A ladder is leaning against the side of a house and froms a 65° angle with the ground. The foot of the ladder is 8 feet from the house. Find the length of the ladder. 43. Garden Green paint is made from 4 gallons of yellow paint to 6 gallons of blue paint. How many gallons of blue paint do you need to make 40 gallons of Garden Green paint? 42. A light house was built at sea level is 150 feet high. From its top, the angel of depression of a bouy is 25°. Find the distance from the bouy to the foot of the light house. 44. Matthew wants to sell laptops and smartphones. He wants to seel at least 12 devices and earn at least $4500. If a laptop costs $425 and a smartphone costs $125 does mathew meet his goal by selling 9 laptops and 6 smartphones. 46. 4π ∗ (−7 + π) = 45. A polynomial p has zeros when π₯ = 5, π₯ = −1, πππ π₯ = −1/4 What is the equation for p? 47. What is its equation? 48. Gustavo and Aiden are walking due east through the forest when an angry grizzly bear appears behind them. Gustavo runs away to the east for 300m and Aiden runs away in a more southward line for 250m. Gustavo and Aiden end up 262m as shown. How many degrees away from east did Aiden turn before running? 49. Let π(π₯) = π₯ 5 + 2π₯ 3 − π₯ 2 Find π ′ (π₯) = 50. Let π(π₯) = π₯ 5 − 3π₯ 2 + 4π₯ Find π′(−2)