Exam View - Eoc Review Stats Trig Linear Programming

Name: ________________________ Class: ___________________ Date: __________ ID: A Review for EOC Write an equation for the nth term of the given arithmetic sequence. ____ ____ ____ ____ 1. 7, 13, 19, 25, ... A. a n = 6n − 1 B. a n = 13n − 6 C. a n = 6n + 1 D. a n = 7n − 1 2. Find the indicated term of the given arithmetic sequence. a 1 = 105, d = –2, n = 9 A. 121 B. 89 C. 838 D. 87 3. Brian, a scientist, is writing a research paper on projectile motion. During one of his experiments, he throws a ball from a point marked as Point A, with a certain velocity in the horizontal direction. The ball travels a horizontal distance of 0.6 meter in the 1st second, 1.2 meters in the 2nd second, 1.8 meters in the 3rd second, and so on. It hits the ground on the 8th second. Brian marks the point where the ball landed as Point B. Calculate the distance between Point A and Point B. A. 4.2 B. 4.8 C. 5.4 D. 9.0 4. A landscaper is designing a wall made of white bricks. The pattern consists of 130 white bricks in the bottom row, 110 white bricks in the second row, and 90 white bricks in the third row. How many white bricks will the 6th row have? A. 10 B. 30 C. 80 D. 230 Find S n for the given arithmetic series. ____ 5. a 1 = 22, d = –8, n = 21 A. 1911 B. –1449 C. –2436 D. –1218 Write an equation for the nth term of the given geometric sequence. ____ 6. –12, –36, –108, ... a n A. –108(3) n − 1 B. –12(−3) n − 1 C. –12(3) n − 1 D. –12(3) n + 1 Find the geometric means in the following sequence. ____ 7. −8, ? , ? , A. –200, –1000, –5000, –25015 ? , ? , − 25000 B. –800, –1200, –1600, –2000 C. −40, −200, −1000, −5000 D. 40, 200, 1000, 5000 C. –36410 D. –5850 Find S n for the given geometric series. ____ 8. a 1 = −10, a 5 = −40960, r = 8 A. –46810 B. –102425 1 Name: ________________________ ID: A Find the sum of the given infinite geometric series. ____ 9. a 1 = 22, r = −0.07 A. 36.29 B. 20.56 C. 23.66 D. 22.7 Find the first five terms of the given sequence. ____ 10. a 1 = 1 2n + 5 ,a = ⋅ an 7 n+1 n 1 429 1 9 33 429 , 1, 9, 33, B. , 1, , , C. 7 4 7 2 2 8 1 63 231 1 441 , 7, , , D. , 49, , 7 2 2 7 2 404 4851 63061 , 8 6 24 ____ 11. Find the values of the six trigonometric functions for angle θ , when PQ = 60 and QR = 80. A. 4 A. sin θ = , cos θ 5 5 B. sin θ = , cos θ 3 4 C. sin θ = , cos θ 5 5 D. sin θ = , cos θ 3 3 = , csc θ 5 3 = , csc θ 4 3 = , csc θ 5 5 = , csc θ 4 5 = , secθ 4 3 = , secθ 5 5 = , secθ 3 3 = , secθ 5 5 = , tan θ 3 4 = , tan θ 5 5 = , tan θ 4 4 = , tan θ 5 4 = , and cot θ 3 4 = , and cot θ 3 4 = , and cot θ 3 3 = , and cot θ 4 3 = . 4 5 = . 4 4 = . 3 4 = . 3 Rewrite the radian measure in degrees. ____ 12. 3π 12 A. 450° C. 45° B. 7.5° D. 45π° ____ 13. Find one angle with positive measure and one angle with negative measure coterminal with an angle of 172°. A. 532°, –82 C. 262°, –82° D. 524°, –8° B. 532°, –188° Find the value of the given trigonometric function. ____ 14. sin –585° 3 2 A. B. 1 2 C. 1 2 D. –1 2 Name: ________________________ ID: A ____ 15. cos 780° A. 1 2 C. B. 3 D. 3 2 1 2 Find the exact values of the remaining five trigonometric functions of θ . ____ 16. Suppose θ is an angle in the standard position whose terminal side is in Quadrant III and sec θ = − 12 13 5 12 5 , cos θ = , csc θ = − , tan θ = , and cot θ = 13 13 5 12 5 12 5 13 5 12 B. sin θ = − , cos θ = , csc θ = , tan θ = − , and cot θ = − 13 13 5 12 5 5 12 13 5 12 C. sin θ = − , cos θ = − , csc θ = − , tan θ = , and cot θ = − 13 13 5 12 5 5 12 5 12 5 D. sin θ = , cos θ = , csc θ = , tan θ = , and cot θ = 13 13 13 5 12 A. sin θ = − Find the amplitude, if it exists, and period of the function. Then, graph the function. ____ 17. y = 5 cos θ A. C. amplitude: 1; period: 2π amplitude: 5; period: 2π B. D. amplitude: 5; period: π amplitude: does not exist; period: π 3 13 . 12 Name: ________________________ ID: A A person’s resting blood pressure is 116 over 88. This means that the blood pressure oscillates between a maximum of 116 and a minimum of 88. The person’s resting heart rate is 60 beats per minute. Let P represent the blood pressure and t represent the time in seconds. ____ 18. Write the equation for the blood pressure P as a function of time t seconds. C. P = 14 sin πt + 102 A. P = 14 sin 2πt + 102 B. P = −14 sin 2πt + 102 D. P = 14 sin 2πt + 14 As a receptionist for a hospital, one of Elizabeth’s tasks is to schedule appointments. She allots 60 minutes for the first visit and 30 minutes for a follow-up. The doctor cannot perform more than seven follow-ups per day. The hospital has eight hours available for appointments. The first visit costs $120 and the follow-up costs $70. Let x be the number of first visit and y be the number of follow-ups. ____ 19. Write a system of inequalities to represent the number of first visits and the number of follow-ups that can be performed. A. 60x + 30y ≤ 480 and y ≤ 7 C. 30x + 60y ≤ 420 and y ≤ 7 x ≥ 0 and y ≥ 0 x ≥ 0 and y ≥ 0 B. 60x – 30y ≤ 480 and y ≥ 7 D. 60x + 30y ≤ 420 and y ≤ 7 x ≥ 0 and y ≥ 0 x ≥ 0 and y ≥ 0 ____ 20. Determine the number of first visits and follow-ups to be scheduled to make the maximum income. A. 16 first visits and 0 follow-ups C. 8 first visits and 0 follow-ups B. 4 first visits and 8 follow-ups D. 4 first visits and 7 follow-ups Efficient Homemakers Ltd. makes canvas wallets and leather wallets as part of a money making project. For the canvas wallets, they need two yards of canvas and three yards of leather. For the leather wallets, they need two yards of leather and three yards of canvas. Their production unit has purchased 36 yards of leather and 40 yards of canvas. Let x be the number of leather wallets and y be the number of canvas wallets. ____ 21. Write a system of inequalities to represent the number of the leather and canvas wallets that can be produced. A. 2x + 3y ≤ 36 and 3x + 2y ≤ 40 C. 5x + 3y ≤ 40 and 4x + 6y ≤ 36 x ≥ 0 and y ≥ 0 x ≥ 0 and y ≥ 0 B. 3x + 2y ≤ 36 and 2x + 3y ≤ 40 D. 2x − 3y ≥ 36 and 3x − 2y ≥ 40 x ≥ 0 and y ≥ 0 x ≥ 0 and y ≥ 0 4 ID: A Review for EOC Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: C B B B D C C A B B A C B C D C A A A D A 1