Name: ______Period: ____ FALL FINAL EXAM REVIEW
Algebra II Level
Unit 1
Identify the name, equation, domain, and range for each graph.
1. 2. 3.
Name: ______Name: ______Name: ______
Equation: ______Equation: ______Equation: ______
Domain: ______Domain: ______Domain: ______
Range: ______Range: ______Range: ______
4. 5. 6.
Name: ______Name: ______Name: ______
Equation: ______Equation: ______Equation: ______
Domain: ______Domain: ______Domain: ______
Range: ______Range: ______Range: ______
7. 8. 9.
Name: ______Name: ______Name: ______
Equation: ______Equation: ______Equation: ______
Domain: ______Domain: ______Domain: ______
Range: ______Range: ______Range: ______
10. Describe the effect the a, h, and k have a on the graph of the parent function. How do you tell the difference between a, b, h, & k?
______
______
______
______
Complete the information. (You must be able to do this for ANY parent function).
11) 12) 13)
Parent Function: Parent Function: Parent Function:
Transformation: Transformation: Transformation:
New reference: New Vertex: New Vertex:
Domain: Domain: Domain:
Range: Range: Range: ______
Unit 4
Solve to find the inverse of each function, using inverse operations.
14. / 15. / 16.Graph the function and its inverse. State the domain and range of each. (You must be able to do this for ANY parent function).
17.Domain: ______Domain: ______
Range: ______Range: ______/ 18. .
Domain: ______Domain: ______
Range: ______Range: ______
Unit 2
19. What methods can be used to determine the type of polynomial function that will best fit a set of data?______
20 – 22: Determine the correlation coefficient (r2 ) for each table. Then, match the table to the degree of the function. TURN DIAGONSTIC ON ( 2nd CATALOG, scroll down)
[A] Linear [B] Quadratic [C] Exponential
20) r2 = ______21) r2 = ______22) r2 = ______
x / y3 / 11
4 / 20
5 / 26
6 / 40
7 / 55
8 / 65
x / y
-2 / 12
-1 / 16
0 / 21
1 / 24
2 / 29
3 / 34
x / y
-1 / .21
0 / 2
1 / 6
2 / 24
3 / 130
4 / 650
23 – 25: The following data represents the enrollment of students in Humble ISD’s after school program for the years 2000– 2004 where 1 represents the year 2000.
Year / Enrollment1 / 806
2 / 943
3 / 1120
4 / 1262
5 / 1425
23) Write the equation of best fit for this linear function.
______
24) Predict the enrollment in HISD’s after school program for the year 2014. (HINT: year=____) ______
Unit 3
Write the equation from the graph. Define the Domain and Range.
26)
Transformations:
Domain:______
______
Range:______
______
Transformed equations:______
Unit 5
Write the system and solving using a matrix.
33. Julia’s Dance School sold a total of 320 tickets to the dance recital. They sold 98 more adult tickets than child tickets. Write a system of equations that could be used to determine the number of adult and child tickets sold.
34. Jorge has to buy some shirts and pants for the upcoming school year. He has $300 to spend on $10 shirts and $15 pants. He would like to spend the same amount of money on shirts as pants. Write a system of equations that could be used to determine the number of shirts and pairs of pants he should buy.
35. Mikey bakes cookies for the elementary school cookie sale. He has chocolate chip, oatmeal, and sugar cookies to sell. On the first day he earned $68 selling 12 dozen chocolate chip cookies and 8 dozen oatmeal cookie. The next day he only had sugar cookies and oatmeal cookies and made $56 selling 9 dozen oatmeal cookies and 10 dozen sugar cookies. Later that afternoon, he discovered he still had 3 dozen sugar cookies and sold them for $6. How much money did he make on the last day if he sold 7 dozen oatmeal cookies and 11 dozen chocolate chip cookies?
36. Solve the system represented below.
37. Write the Matrices for the system below.
-6r + 5s + 2t = -11
-2r + s + 4t = -9
4r – 5s + 5t = -4
Solve the systems of equations.
38. x – 4y + 7z = 14 39. 3x + 2y + z = 3
3x + 8y – 2z = 13 x – 3y + z = 4
7x – 8y + 26z = 5 -6x – 4y – 2z = 1
40. Graph the system of inequalities given. 41. Graph the system of inequalities given.
Unit 6
Unit 7A
Factor.
52. 25x2 - 64 / 53. 8x² + 20x – 1254. 9a² - 25 / 55. x² + 12x + 36
56. 6b² - b – 1 / 57. x³ + 5x² - 4x – 20
58. 2t² - 9t + 4 / 59. 10h² - 2
Unit 7B
Solve by factoring.
60.
Solve using the quadratic formula.
62. 63.
SOLVE by Completing the Square.
66. 0 = x2 - 10x + 12 67. 0 = x2 + 8x - 9