University:
Central Michigan University
Course:
MTH 101 | Elementary Algebra
Academic year:

2024
Views:

351

Pages:

13
Author:

Melina Rich

Algebra 2 CP 1. Describe the transformations of the function 𝑓(𝑥) = 2𝑥 to f(𝑥) = −2𝑥+1 − 4 Do Your Figuring Here A. Reflect over x-axis, Left 1, Down 4 B. Reflect over x-axis, Right 1, Down 4 C. Reflect over x-axis, Left 1, Up 4 D. Reflect over x-axis, Right 1, Up 4 2. Use the Change of Base Theorem to find the value of: log 5 10 A. 2 B. 1.156 C. 0.699 D. 1.431 3. Identify the expression that is not equivalent to log 6 100 A. log 6 200 − log 6 2 B. 2log 6 10 C. log 6 50 + log 6 2 D. log 6 6100 4. Find the solution to the equation: ln(𝑥 + 2) = 4 A. 8.873 B. 38 C. 52.598 D. 9998 CONTINUE TO NEXT PAGE 5. Find the solution to the equation: 32𝑥+1 = 92 Do Your Figuring Here 1 A. 𝑥 = 2 3 B. 𝑥 = 2 3 C. 𝑥 = 4 D. 𝑥 = 0 6. Find the solution to the equation: 2𝑒 3𝑥 + 1 = 23 A. 1.486 B. 0.224 C. 0.799 D. 2.398 7. You deposit $200 in an account that pays 3% annual interest compounded monthly. What is the balance after 4 years? A. $202.01 B. $225.47 C. $286.28 D. $826.45 8. You buy a baseball card for $100. It appreciates in value 5% per year. In how many years will it be triple its value? A. B. C. D. 116.9 years 2.2 years 2.9 years 22.5 years CONTINUE TO NEXT PAGE Do Your Figuring Below 9. Using the right triangle, find the value of csc  . 13 x  5 A. B. C. D. 10. 5 13 13 5 12 13 13 12 An airplane making its descent towards the ground makes an angle of descent of 5 with the ground. If the airplane is 1000 feet from the airport, how high is it above the ground? A. B. C. D. 108 feet 11,430 feet 11,473.7 feet 1,003.8 feet CONTINUE TO NEXT PAGE 11. Solve the following triangle for  Do Your Figuring Below  24 9 A. 22° B. 20.6° C. 68° D. 69.4° 12. Suppose  is an angle in standard position whose terminal side is 5 in Quadrant II. Find the value of tan  given sin 𝜃 = 13. A. B. C. D. 13. 5 12 5 12 12 5 12  5  Find the exact value of sec A. 2 2 B. 2 2  2 2 C. D. 7 . 4  CONTINUE TO NEXT PAGE Do Your Figuring Below 14. Given the following triangle where C  98 , A  16 , and c = 32, find the length of side a to the nearest tenth. C B A A. 0.495 15. B. 8.9 C. 29.7 D. 0.197 Given the following triangle where a = 17, b = 23, and c = 12, find the measure of the largest angle. B C A A. 21.2 B. 103.6 C. 76.4 D. 113.8 CONTINUE TO NEXT PAGE 16. Identify the amplitude and period of the given trigonometric 2 equation: y  3 sin  3 A. B. C. D. 17. 18. amplitude: 3 amplitude: 3 Period: 3π Period: 2π/3 amplitude: - 3 amplitude: - 3 Period: 3 Period: 2π3 Do Your Figuring Below Identify the vertical and horizontal asymptotes of the x2  x  6 following rational equation: y  4x 2  9 A. 3 Vertical: x   Horizontal: y = 4 2 B. Vertical: x   C. Vertical: x  3,2 Horizontal: y = 4 D. Vertical: x  3,2 Horizontal: y = 3 1 Horizontal: y = 2 4 1 4 5 x  10 x 2  2 x  8  2 Simplify: 5x 2x  6x  8 A. 2 x  1 x B. 2x  2 C. 2 x  2  x x  1 D. x 1 2 CONTINUE TO NEXT PAGE 19. 20. 21. Simplify: 2 5  x3 x A. 10 x3 B. 17 x3 C. 7x  5 x x  3 D. 7 x  15 x x  3 Simplify: 4 x  x 4 x2 2 A.  x 2  2x  4 x  2x  2 B.  x2  6 x  2x  2 C.  x2  6 x  2x  2 D.  x 2  2x x  2x  2 Solve: Do Your Figuring Below 1 x  2 x  5 11x  8 A. x = 4, -1 B. x 1 C. x D. x  1,4 1 3 CONTINUE TO NEXT PAGE 22. 23. 24. Solve: 6 7 5  2 x 1 x 1 A. x 3 , -2 5 B. x 2 ,-2 5 C. 2 x , 2 5 D. 3 x , 2 5 Do Your Figuring Below Orange Leaf Frozen Yogurt offers fourteen ice cream flavors, nine toppings, and three sauces. How many different ice creams can you make provided you choose one of each? A. 26 B. 168 C. 378 D. 2002 How many ways can you select a committee of nine students from a group of seventeen? A. B. C. D. 8,821,612,800 153 24,310 3,719,430 CONTINUE TO NEXT PAGE 25. There are 20 students in a local math competition. In how many different ways can first, second, and third place be awarded? Do Your Figuring Below A. 1,140 B. 6,840 C. 60 D. 23 26. How many five-card hands are possible that contain at least three kings? A. B. C. D. 27. 4,560 4,512 55,296 5 Given a standard die, find the probability of rolling an even and then a three. A. B. 1 12 2 3 C. 1 4 D. 1 3 CONTINUE TO NEXT PAGE 28. 29. In a bag of marbles, there are 13 blue, 6 red, and 5 green. Find the probability of drawing a blue, then a blue, then a red if replacement does not occur. A. 1 12144 B. 169 2304 C. 39 506 D. 1 936 The odds in favor of an event are 2:5. Find the probability of the same event. A. B. C. D. 2 5 2 7 5 2 5 7 Do Your Figuring Below Algebra 2 CP For #1, evaluate all six trig functions. Evaluate all six trig functions of  given 𝜃 = 3𝜋 2 . sin 𝜃 = _____________ cos 𝜃 = _____________ tan 𝜃 = _____________ csc 𝜃 = _____________ sec 𝜃 = _____________ cot 𝜃 = _____________ For #2, Find the measure of angle B. In Δ ABC, A  23 , a = 10, and c = 8. Find -4 ; Range : ARN Final Parent

Math Algebra 2 Exam with Answers

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