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Algebra II – Unit 2 Review (Most Missed Questions) Determine the domain of the following functions:

#1. f(x) = -5x – 9 #2. ( ) #3. ( ) √

#4. ( )

#5. ( )

#6. ( )

√

Solve the following systems of equations.

#7. {

#8. {

Consider the equation: 5x + 3y = 12. #9. Write an equation that would be parallel to this linear equation. #10. Write the equation in slope intercept form. #11. Line ‘n’ contains (5, -5) and is perpendicular to the line 5x + 3y = 12. What is the equation of line ‘n’ in slope-intercept form. #12. Write this equation from #11 in standard form.

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#13. For the following, graph the system of constraints. Name ALL vertices and then find the values of ‘x’ and ‘y’ that maximize or minimize the objective function. Use the graph provided.

{

Maximum for P = x + 3y Solve each inequality. Graph the solutions. Write the answers in interval notation. #14. -3f + 9 <21 #15. -4n – 3 ≥ 105 Solve each compound inequality. Graph your solutions. Write your answers in interval notation. #16. -4 < -2k + 6 < 8 #17. 5 ≤ 2y – 4 < 12

#18.

#19. 5 + m > 4 or 7m < -35

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Solve and graph each absolute inequality. #20. | | #21. | |

#22. | | #23. |

|

#24. |

| #25.

| |

#26. | | #27. | |

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#28. | | #29. -4| |

#30. | | #31. | |

Find and graph the solution of each absolute value equation. #32. | | #33. | | Write a system of linear inequalities for each corresponding graph: #34. #35.

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#36. #37.

Consider this quadratic function: ( ) ( ) #38. What ‘form’ is this quadratic written in? #39. What is the vertex of this quadratic? #40. What is the axis of symmetry? #41. Does this parabola have a minimum or a maximum and where at? #43. What is the parent function of this quadratic? #44. Based on this parent function, write down every transformation for this function. #45. Find the x and y intercepts of this function.

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Consider this quadratic function: ( ) #46. What ‘form’ is this quadratic written in? #47. What is the vertex of this quadratic? #48. What is the axis of symmetry? #49. Does this parabola have a minimum or a maximum and where at? #50. Find the x and y intercepts of this function. #51. Determine the discriminant of this quadratic function and state the number and type of roots/zeros that this quadratic will have.

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#52. Create a quadratic function that would have NO REAL ZEROS. #53. A rectangle has a width of 4 – x and a length of 6x. Find the maximum area of this rectangle. #54. Solve: #55. Solve: #56. SAMPLE EOC MULTIPLE CHOICE QUESTION:

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#57. SAMPLE EOC MULTIPLE CHOICE QUESTION:

#58. SAMPLE EOC MULTIPLE CHOICE QUESTION:

#59. SAMPLE EOC MULTIPLE CHOIC QUESTION:

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#60. SAMPLE EOC MULTIPLE CHOICE QUESTION:

#61. SAMPLE EOC MULTIPLE CHOICE QUESTION:

#62. SAMPLE EOC MULTIPLE CHOICE QUESTION:

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#63. SAMPLE EOC MULTIPLE CHOICE QUESTION:

#64. SAMPLE EOC MULTIPLE CHOICE QUESTION:

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#65. SAMPLE EOC MULTIPLE CHOICE QUESTION:

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#66. SAMPLE EOC MULTIPLE CHOICE QUESTION:

Consider this function: ( )( )( ) #67. What is the degree of this function and how many zeros should there be? #68. How many zeros are real; how many zeros are complex/imaginary/non-real? Of the zeros that are real, how many are distinct? How many x-intercepts are there? #69. Write an equivalent form of this expression: (2x + 5)(x – 8) – 4(x + 7)

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