KNOWLEDGE - lkueh



1. Simplify each of the following. Express each answer with positive exponents.

a) [pic] b)[pic]

2. Evaluate without the use of a calculator. Express answers as integers or rational numbers.

a) [pic] b) [pic]

3. Solve for the unknown:

a) [pic] b) [pic]

4. Expand and simplify [pic]

5. Simplify and state any restrictions on the variable.

a)[pic] b) [pic]

6. Simplify : [pic]

7. Simplify to mixed radical form.

a) [pic] b)[pic] c) [pic]

8. Solve for x by factoring or using the quadratic formula: Express answer in exact simplified form.

a) [pic] b) [pic]

9. State the domain and range of each of the following:

a) [pic] b)

6

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|a) [pic] | | | |

|b) | | | |

| | | | |

| | | | |

| | | | |

| | | | |

|c) [pic] | | | |

| | | | |

|d) [pic] | | | |

| | | | |

|e) [pic] | | | |

|f) [pic] | | | |

10. If [pic] and [pic], find:

a) [pic] b) [pic] c) the value of “x” when [pic]

11. A marathon race follows a triangular course. The 3 legs of the race are 5 km, 11 km and

8 km long. Find the angle ( between the starting and finishing leg.

12. Find the exact value of each trigonometric ratio.

a) [pic] b) [pic] c) [pic]

= = =

13. If[pic], Find the possible measures of (A.

a) [pic] b) [pic]

14. Graph [pic]. Label at least 3 ordered pairs and state the equation of the asymptote.

-----------------------

x

3

y

8 km

5 km

11 km

(

(

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