Name:__________________________________________________
Algebra 2 Easter Review Packet
Date:________________ Period:_______
Ms. Cronin
Algebra 2/Trigonometry Review
Answer all questions in this packet, showing all work. You will not receive any credit if
work is not shown. This packet must be completed and handed in during class on
Monday, May 2. IT WILL NOT BE LEFT AT HOME OR IN YOUR LOCKER.
1.
Find the sum and product of the roots of the quadratic equation: 2x2 + 5x – 6 = 0.
2.
12x 5 y 3
Simplify (there should be no negative exponents in your answer):
3x 7 y 2

3.
Factor x3 – 2x2 – 24x completely.
4.
Find the solution set for the equation |2x + 1| = 9.
5.
Solve for x:
10
2

4
x 2 x 2

6.
Solve the equation x 2  6x 10  0 by completing the square.

7.
What are the values of θ in the interval 0° ≤ θ ≤ 360° that satisfy the equation
2cos  2  0?
8.
If f (x)  x  4  and g(x)  x 1 , what is g o f (2) ?


2


9.
Expand: 5  2i
2

10. Find the solution set of the inequality 2x  6  8 , and graph on a number line.

3
11. If sin A  , evaluate cos2A .
5


12. Express

4
with a rational denominator in simplest radical form.
2 6
13. If tan4x  40  cot 2x 10, what is the value of x?

14. What are the coordinates of the center and the length of the radius of the circle with
the equation x  4   y 2  9 ?
2

15. If h(x)  x 3  24 , what is h 1 (x) ?

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