KNOWLEDGE - Mr. Goos
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
| | | | |
|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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