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CST/STAR Review CS-5 Practice Set C evens 2x 1 2. If f x find x so that f x 5 x 1 bg bg 6. Simplify x (no radicals) 11 x 10. Graph/is it a function? y x 2 2 x 3 b g 14. Solve log 3x 1 3 Name_________________________ No._____ 4. Find the volume and surface area of a sphere with r=8. 8. Two numbers add to 17, and 7 times the first minus 5 times the second is 3. Find the numbers. 12. If a= -2 find a 1 a 1 16. For f ( x) 3 3 x 9 , find f 1 5 18. Steve, Jose, and Clyde can do a piece of 20. The sum of three consecutive odd integers work in 4 hours. If Steve can do the same piece is 1,359. Find the integers. of work in 10 hours, and Jose in 12 hours, how many hours will it take Clyde to do the work alone? Practice Set E: Golden State Exam Geometry Review 2. MNO is similar to XYZ . If MN=15, 4. In parallelogram ABCD, the measure of A is (2 x 5) and the measure of C is MO=20, NO=30, XY 4k 2 , and XZ 4k 4 , find XY. (4 x 59) . The measure of B is a. 6 b. 12 c. 15 d. 18 a. 32˚ b. 69˚ c. 83˚ d. 111˚ CST/STAR Review CS-5 6. Which of the following points are vertices of a square with one side tangent to the circle ( x 3)2 y 2 9 ? a. b. (0, 0)(6, 0) (3,3)(3, 3) (4, 1)(0,1) (4,1)(0, 1) c. d. Name_________________________ No._____ 8. The diameter of the base of a cone is 18 and the height is 14. What is the volume of the cone? (6, 2)(10, 2) a. 378 11187.5 c. 972 3053.6 (6, 2)(10, 2) (6, 6)(9,3) b. 588 1847.3 d. 1134 3562.6 (6, 0)(3,3) 10. A round ice-skating rink is built inside a rectangular arena as shown in the figure. The management needs to order new material to cover the floor represented by the shaded area. Which of the following algebraic expressions represents this shaded area? 12. The endpoints of one diagonal of a square are (-5,2) and (7,-6). What is the equation of the line containing the other diagonal? a. xy x 2 c. xy 4x a. 3x 2 y 1 c. 3x 2 y 1 b. x 2 xy d. xy 2x b. 3x 2 y 2 d. 3x 2 y 7 2 2 14. AD CB and cut by transversal AB . AC CB . AB=10, DAB 35 . Which of the following expressions could be used to determine the length of AC ? 16. The apothem (drawn from the center, perpendicular to a side) of a regular hexagon has a length of 6. What is the perimeter of the hexagon? a. 10cos55 c. 10cos35 a. 2 3 3.46 b. 10sin 55 d. 10tan35 18. Trapezoid ABCD is inscribed in circle P. If AB BC CD and AP=12, what is the measure of the median of the trapezoid? b. 4 3 6.93 d. 24 3 41.57 20. A circle of area 25 circumscribes a regular pentagon as shown. To the nearest tenth, what is the length of an arc joining two adjacent vertices? a. 6 a. 4.3 b. 12 c. 18 d. 24 b. 5.0 c. 12 3 20.78 c. 5.9 d. 6.3