Algebra I CC Exam Review #1 H o2m0b1l3v 7KRu9tmal NSIoffrtGwaafrKeB 5LZLhCe.h m na3ldll 3rPiagBhlt8sm 4rEe0sPevr3vKe6dR.S. y x y. ( k ) ( 10) ( ) ( )

Transcription

1 -1-5 b2e0r143a qkxustsah YS3ogfrtFwiazr9e3 BLjLPCQ.W R paslllj LrkiTgphqtysN drzeosqegrqvcezdj.o I YMOaPdyev LwhiVtthR AINnXfriknHirtleD famlwgue4bsryas e2r.j Worksheet by Kuta Software LLC Algebra I CC Exam Review #1 H o2m0b1l3v 7KRu9tmal NSIoffrtGwaafrKeB 5LZLhCe.h m na3ldll 3rPiagBhlt8sm 4rEe0sPevr3vKe6dR.S Name Simplify. Your answer should contain only positive exponents. 1) 2) n n 3) (a ) 4) y x y Solve each equation. 5) a 6) ( v ) v 7) x 8) ( k)( k) Evaluate each expression. 9) 10) ()() Solve each inequality and graph its solution. 11) ( n) Write the expression, equation, or inequality that is represented by the words. 12) 4 more than the quotient of t and 7 13) The product of a number z and 12 is ) The sum of 13 and a number t is at least 24 Solve each system by graphing. 15) yx yx

2 -2- w F2Q03113o 4K1uUtQaj isroyfztmw6avrke5 olwlfct.2 n kanl1l0 8rvi0gmhytpsa zrbemsqehrhv8eqdv.j j TMOaFdZek 0w7i5tLhv OImnCfvimn0iBtpev 6ALlug4ePbNrUai 42Q.9 Worksheet by Kuta Software LLC 16) y x 17) y x y x y x y y x x Solve each system by elimination. 18) xy xy 19) xy xy Solve each system by substitution. 20) yx xy 21) xy xy

3 A1CC Exam Review #2 Name: 22. The system 4x2y8 8x4y20 is (independent, dependent, or inconsistent) 23. The system graphed below is (independent, dependent, or inconsistent) 24. Graph the system of inequalities

4 25. Graph the system of inequalities 26. The objective function for a business owner is C = 9x 2y. The vertices of a particular system of inequalities that will use this objective function are (0, 0), (0, 8), (2, 9), (6, 3), and (14, 0). Which of these vertices will maximize the profit for the business owner? Use the following scenario for Problems 27 and 28. Piñatas are made to sell at a craft fair. It takes 2 hours to make a mini piñata and 3 hours to make a regular sized piñata. The owner of the craft booth will make a profit of $8 for each mini piñata sold and $15 for each regular sized piñata sold. If the craft booth owner has no more than 36 hours available to make piñatas and wants to have at least 12 piñatas to sell, how many of each size piñata should be made to maximize profit? 27. Write the objective function that will maximize the profit. 28. Write the constraints as a system of inequalities. 29. Identify the domain and range of the following relation ( 3,9),( 5,10),(0,8) 30. Identify the domain and range of the following functions: y x y x 2 3 5, 2 3

5 31. Identify the x, y intercepts 32. Identify the x, y intercepts 2x + 7y = Given f ( x) 6.8 5, what is the value of f ( 2)? 34. Find the value of x so that the given function has the given value. f( x) 7x12; Describe the end behavior of the following graphs. 36. Write the equation of the line that contains the ordered pairs (10, 5) and ( 5, 1). 37. Write the equation of the line that contains the ordered pairs ( 3, 5) and (2, 5).

6 38. Write the equation of the line that contains the ordered pair ( 3, 5) and is parallel to the line y 3x Write the equation of the line that contains the ordered pair ( 2, 4) and is perpendicular to the line 2 y x Write the equation of the line graphed on the coordinate plane. 41. Write the exponential function in the form x y x y ab for the ordered pairs in the table. 42. Write the exponential function in the form x y x y ab for the ordered pairs in the table.

7 A1CC Exam Review #3 Name: 43. Write a rule for the geometric sequence: 3, 12, 48, 192, 768, 44. Write a recursive rule for the arithmetic sequence: 15, 13, 11, 9, 7, 1 n1 2? 45. What are the first four terms of the sequence a n Find the common ratio of the geometric sequence: 64, 32, 16, 8, 2, 47. Find the common difference of the arithmetic sequence: 28, 21, 14, 7, 0, 48. Write a rule for the nth term of the arithmetic sequence: 19, 31, 43, 55, 67, 49. Even, Odd, or Neither? Explain why.

8 50. Even, Odd, or Neither? Explain why. 51. Even, Odd, or Neither? Show work. g(x) = 7x What is the average rate of change for f(x) = 3x 2 10 given the interval 1 x 4? 53. What is the average rate of change for f(x) = 3x 2 given the interval 1 x 5? 54. List the Transformations performed on f(x) to give you g(x): f(x) = x, g(x) = 4x Given the graphs and their equations, perform the listed transformations and write the equation of the transformed function: f(x) = 2 x Translate vertically by negative four.

9 56. Should the function graphed below be described as an exponential growth or exponential decay? Explain why. 57. Should the function below be described as an exponential growth or exponential decay? Explain 3 x why. f( x) The value of a car depreciates by 18% every year. Should this scenario be described as an exponential growth or exponential decay? Explain why. 59. Someone opens up a bank account with $1250 and earns 9.5% interest annually on it. If interest is compounded weekly, write an equation that will model this scenario. 60. Janet invests $625 into an account for 7 years that earns 2.65% interest compounded twice a year. How much does Janet have at the end of the 7 years? 61. A certain bacteria doubles in size every 6 hours. If the colony of bacteria starts out with 7 bacteria in it, how big would the colony be in 66 hours? 62. In at least 4 sentences explain the differences between an exponential function and a linear function