2 nd Semester Final Exam Review Block Date

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1 Algebra 1B Name nd Semester Final Eam Review Block Date Calculator NOT Allowed Graph each function. Identif the verte and ais of smmetr. 1 (10-1) 1. (10-1). 3 (10-) (10-) (10-1) 5. Predict how the graph of the equation [A] The graph of because 3 is greater than 1. [B] The graph of because 3 is greater than 1. [C] The graph of because 3 is greater than 1. 3 will compare with the graph of the equation. 3 will open up because the coefficient is positive. The graph will be narrower 3 will open up because the coefficient is positive. The graph will be wider 3 will open down because the coefficient is positive. The graph will be wider 3 will open down because the coefficient is positive. The graph will be [D] The graph of narrower because 3 is greater than 1.

2 Identif whether each of the following has a maimum or a minimum, without looking at the graph. Eplain our reasoning. Then find the maimum or minimum value. (10-1) 6. 5 (10-) (10-3) 8. Estimate the solutions of the equation using the related graph shown below Graph each function. 1 (8-7) (8-7) Identif each function as eponential growth or deca. Eplain our reasoning. (8-8) (1.45) (8-8) 1. 5 (0.35)

3 For the given graph, identif all the ke features. 13. domain: range: -intercept(s): -intercept: maimum: minimum: smmetr: increasing intervals: decreasing intervals: end behavior: For the given graph, identif all the ke features. 14. domain: range: -intercept(s): -intercept: maimum: minimum: smmetr: increasing intervals: decreasing intervals: end behavior: Write each quadratic equation in verte form, and identif the verte Describe each transformation ( 7) 5

4 Describe the transformation and write an equation for each function Using the parent function as a guide, describe the transformation and graph each function ( 4)

5 Graphing Calculator Allowed 3 5 (9-1) 7. Give the degree of the polnomial: Simplif. Write each answer in standard form. (9-1) 8. a 4a 5 5a a 4 (9-1) (9-1) 30. 8p 4 p 4p 5 6p 4 (9-1) 31. 4w 7w1 w 6w (9-) 3. m 3 5m 4m (9-) 33. 6n 4n 5 8n (9-3) 34. (c 1)(3 c 8) (9-3) 35. 3g 5g 4g 6 (9-4) 36. (37)(3 7) (9-4) 37. (5 6) Find the greatest common factor. (9-) (9-) c 4c 8c 4 3

6 Factor each epression completel. 6 3 (9-) 40. 8z 6z (9-5) 41. n 4n 1 (9-6) 4. 6m 19m 10 (9-7) (9-7) 44. 9r 64 (9-6) a a a (9-1) 46. If a rectangle has side lengths 3and 8, find its perimeter. (9-3) 47. You are going to plant a garden with dimensions 3 b. You decide ou want a small herb garden in the middle with dimensions b 3. What is the area of the main garden without the space of the herb garden?

7 Solve using square roots. (10-3) (10-3) Solve using the zero-product propert. (10-4) 50. ( 9)( 3) 0 (10-4) 51. (3 4)( 7) 0 Solve b factoring. (10-4) (10-4) Solve b completing the square. (10-5) (10-5) Solve using the quadratic formula. (10-6) (10-6)

8 (10-) 58. An arrow is shot into the air. The arrow follows the path given b the equation h 16t 48t 5, where t is time in seconds and h is height in feet. Find the maimum height of the arrow and how long it takes to get that high. (10-6) 59. Suppose a model rocket is launched from a platform and follows a path given b h 16t 100t, where t is time in minutes and h is height in meters. How long will it take the rocket to hit the ground? For each of the following sequences, tell whether it is arithmetic or geometric. Identif the common difference or the common ratio. Give the net three terms. (8-6) 60. 3, 19, 15, 11, 7, (8-6) 61. 1, 1, 1, 3, 9, (8-7) 6. The mass in grams of a colon of bacteria hours after 9 A.M., Ma 19, is given b the equation a. Find the mass at P.M., Ma 19. Round our answer to the nearest tenth. b. Find the mass at 6 P.M., Ma 19. Round our answer to the nearest tenth.

9 (8-8) 63. A person invests $160 at 8% interest compounded annuall. a. Write an equation to model this situation. b. Find the amount of mone in the account at the end of 10 ears. (8-8) 64. During a drought, the water usage of a cit decreased b an average of 4% per ear since 1985 when it was 300,000 cubic hundred feet. a. Write an eponential function to model this situation. b. Find the amount of water used b the cit in 199. Round our answer to the nearest tenth. Determine whether the data set is best modeled b a linear or eponential function. Show work to justif our answer. Then write an equation to model the data. (10-8)

10 Simplif each radical epression. (11-1 and 11-)

2 nd Semester Final Exam Review Block Date

2 nd Semester Final Exam Review Block Date Algebra 1B Name nd Semester Final Eam Review Block Date Calculator NOT Allowed Graph each function. 1 (10-1) 1. (10-1). (10-1) 3. (10-1) 4. 3 Graph each function. Identif the verte, ais of smmetr, and