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Worksheet

Subject:

2. Intermediate Algebra

Topic:

8. Radicals, and Rational Exponents

Section:

6. Complex Numbers

Group:

1. Simplifying Powers of i.

Name:

Date:

Score:

Index	Rubric For Real Constructed Response
5	Correct, complete, clear, appropriate work.
4	Correct strategy, minor errors, nearly complete with appropriate work.
3	Correct strategy, many errors, partially complete with appropriate work.
2	Starts with appropriate strategy, some understanding, some work.
1	Attempts appropriate strategy with minimal understanding, little work.
0	Irrelevant or frivolous response, inappropriate strategy, no work.

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Sample Problem

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Directions:

1)	Printout this worksheet and complete the work below without reference. Be as complete as possible in showing your work.
2)	After you finish, Click on any problem to view a video on how to do the problem correctly.
3)	Click on the Grading Style link at the bottom of this worksheet to view a video on how a math teacher would grade this assignment. Be honest and fair with yourself in assessing your own work.


1. (Difficulty: 2)	Add the fractions	[See Solution]


2. (Difficulty: 3)	Perform the operations	[See Solution]


3. (Difficulty: 4)	Solve the equation	[See Solution]


4. (Difficulty: 3)	Completely factor	[See Solution]


5. (Difficulty: 4)	Prove that the opposite angles of a parallelogram are congruent.	[See Solution]


6. (Difficulty: 3)	Solve the system of equations by using both the graphing method and the elimination method:	[See Solution]


7. (Difficulty: 4)	Verify the identity	[See Solution]


8. (Difficulty: 4)	Graph the parabola and find it's vertex.	[See Solution]


9. (Difficulty: 3)	Using the definition of the derivative, find the derivative of the function:	[See Solution]


10. (Difficulty: 3)	Evaluate the integral	[See Solution]


11. (Difficulty: 4)	Sketch the graph of the plane defined by the equation	[See Solution]


12. (Difficulty: 5)	Solve the differential equation	[See Solution]