Algebraic/Trigonometric Review

Algebraic/Trigonometric Review

I. Simplify.

1) 3 3 4 ( 3 2 + 4 3 16 )

2.) Expand (3x -2)4

3) 26

2

y -

19 2 y

y +

y

y

31

12





II. Solve for the variable.

4) x2 – 14x + 48 > 0

5) 4

2





x

x < 2

6) 65 x > 10

7) 72 x < 2

8) Use the quadratic formula to solve for x in: 2x2 + 8x - 1 > 0

III.

9) Find the equation of the circle with the center (4, -3) that goes through the point (6, 2).

10) Find the equation of the line that passes through the point (0, 5) and is perpendicular

to the line 4x - 3y = 8.

11) Graph y = 2x2 – 1. Include and label the x and y intercepts on the graph.

12) Find: a) cos 5𝜋

6 b) tan

2𝜋

3 c) sin

7𝜋

4

13) If cos  = - ½ and   [0 , 2 ), find all the values for  .

14) Solve the following equation for  , 0   2 . 2 sin2 - sin = 0

15. If f(x) = x2 + 4x, find

a) f(- 3) b) f(2a) c) h

xfhxf )()( 