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1 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 -intercept. (10-) (10-)

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) 7. 5 (10-) (10-1) 9. 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. (10-3) 10. Estimate the solutions of the equation using the related graph shown below Graph each function. 1 (8-7) (8-7) 1. 3 Identif each function as eponential growth or deca. Eplain our reasoning. (8-8) (1.45) (8-8) (0.35)

3 Simplif each epression. (3-8) (3-8) Between what two consecutive integers is each square root? (3-8) (3-8) Graphing Calculator Allowed 3 5 (9-1) 19. Give the degree of the polnomial: Simplif. Write each answer in standard form. (9-1) 0. a 4a 5 5a a 4 (9-1) (9-1). 8p 4 p 4p 5 6p 4 (9-1) 3. 4w 7w1 w 6w (9-) 4. m 3 5m 4m (9-) 5. 6n 4n 5 8n (9-3) 6. (c 1)(3 c 8) (9-3) 7. 3n 5n 4n 6 (9-4) 8. (37)(3 7) (9-4) 9. (5 6)

4 Find the greatest common factor. (9-) (9-) c 4c 8c 4 3 Factor each epression completel. 6 3 (9-) 3. 8z 6z (9-5) 33. a 4a 1 (9-6) 34. 1m 35m 18 (9-7) (9-7) 36. 9r 64 (9-6) a a a (9-1) 38. If a rectangle has side lengths 3and 8, find its perimeter. (9-3) 39. 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? Solve using square roots. (10-3) (10-3) Solve using the zero-product propert. (10-4) 4. ( 9)( 3) 0 (10-4) 43. (3 4)( 7) 0

5 Solve using factoring. (10-4) (10-4) Solve using completing the square. (10-5) (10-5) Solve using the quadratic formula. (10-6) (10-6) Use the discriminant to determine the number of solutions of each equation. (10-7) (10-7) (10-) 5. 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) 53. 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? Round our answer to the nearest hundredth.

6 For each of the following sequences, tell whether it is arithmetic or geometric. Give the common difference or the common ratio. (8-6) 54., 5, 8, 11, 14, (8-6) 55. 1, 1, 1, 3, 9, (8-6) 56. Use the sequence 3,16, 8,4,... a. What is the common ratio? b. What are the net three terms? c. Write a rule for the sequence. d. What is the 9 th term of the sequence? (8-7) 57. 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. (8-8) 58. 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) 59. 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.

7 Determine whether the data set is best modeled b a linear, eponential, or quadratic function. Show work to justif our answer. Then write an equation to model the data. (10-8) Tell whether the following square roots are rational, irrational, or undefined. (3-8) (3-8) Find the length of the missing side of each right triangle with the given side lengths. Round to the nearest tenth. (3-9) 65. (3-9)

8 (3-9) 67. On a 008 GMC Sierra truck, the standard bo is 78.7 inches long and 6.5 inches wide. What is the diagonal distance across the bo? Round our answer to the nearest tenth. Determine if the following sides can form a right triangle. Show work to justif. (3-9) , 9, 16 (3-9) 69. 4, 5, 3 Simplif each radical epression. (11-1 and 11-) Solve each radical equation. Be sure to check our solutions. (11-3) (11-3) (11-3)

### 2 nd Semester Final Exam Review Block Date

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-) 3. 4 7 (10-) 4. 3 6 4 (10-1) 5. Predict

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