Name_______________________________ Date ...



Name_______________________________ Date_________________ Period __________

Spring Semester Exam EXTRA Review- Algebra II

|Given: 3x=8. Convert to logarithmic form. |

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|Rewrite the following logarithmic equation in exponential form: log2 64 = 6 |

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|Evaluate: log6 36 |

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|Use the properties of logarithms to expand the following expression: [pic] |

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|Solve: 2log2 x – 3 = 5 |

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|6. Solve: log5 x = 4 |

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|7. Solve: 3x = 45 |

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|8. Solve: 2 log6 x + log6 12 = log6 300 |

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|9. If Eric invests $12,000 at 10% compounded semi-annually, how long will it be before his investment has grown to $24,000? Use the formula[pic]. |

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|10. Simplify the following. [pic] |

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|11. Find the solution for the exponential equation: |

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|12. Write in radical form: |

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|13. Simplify the following: |

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|14. Multiply the following. |

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|15. What is in logarithmic form? |

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|16. Simplify: [pic] |

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|17. Factor completely: [pic] |

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|18. Factor completely: [pic] |

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|19. Factor: x2 +x – 6 |

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|20. Simplify: [pic] |

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|21. Simplify: [pic] |

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|(Hint: Don’t forget to keep, change, flip!) |

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|22. Simplify: [pic] |

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|23. Simplify: [pic] |

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|24. Simplify : [pic] |

|25. Graph[pic]. |

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|26.Solve the following rational equation: [pic] |

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|27. Find the domain of the function [pic] |

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|28. Find the horizontal asymptote of the function in problem #27 |

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|29. Which graph would represent f(x) =[pic]? |

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|31. The equation that takes the graph of [pic] and moves it up 2 units and |

|right 4 units is |

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|32. The equation that takes the graph of f(x) = 2x and moves it up 3 units is |

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|33. The equation for the graph shown is: |

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|A. [pic] |

|B. [pic] |

|C. [pic] |

|D. [pic] |

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|34. The equation for the graph shown is: |

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|f(x) = -(x - 5)2 - 3 |

|f(x) = -(x + 5)2 - 3 |

|f(x) = (x - 5)2 - 3 |

|f(x) = (x + 5)2 - 3 |

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[pic]

[pic]

[pic]

[pic]

[pic]

A.

B.

[pic]

[pic]

D.

C.

[pic]

[pic]

[pic]

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