Spring Finals Algebra 2

Chapter 6Radical

100

Find gof(x) if

f(x)=3-x

g(x)=x^2-4

x^2-6x+5

200

Simplify 

root(3)(24a^6b^5)

2a^2broot(3)(3b^2)

300

Simplify

5sqrt72+sqrt75-sqrt288

18sqrt2+5sqrt3

400

Simplify

x/(x^(1/2).x^(1/3))

x^(1/6)

500

Solve 

4-sqrt(5y-10)<=-1

y>=7

Chapter 7Exponential and Log

100

Solve 

9^(4x+4)=243^(2x+2)

 

-1

200

Evaluate

log_4(128)

Evaluate

7/2

300

Solve

log_4(n)=1/4log_4(81)+1/2log_4(25)

15

400

Solve

log_2(2x+6)-log_2(x)=3

1

500

Solve

ln(x+3)+lnx=ln4

1

Chapter 8Rational

100

For what value(s) of x is the following expression undefined

(x^2-9)/(2x^2-3x-9)

-3/2, 3

200

Simplify

2/(x-2)-8/(x^2-4)

Solve

2/(x+2)

300

Find the LCM

n^2-2n-8

n^2+2n-24

(n+2)(n-4)(n+6)

400

Solve

5/(y-3)+10/(y^2-y-6)=y/(y+2)

10

500

Solve

1/(6x)+2/(3x)<5/9

x<0 or x>3/2

Chapter 9Conic Sections

100

Find the distance between

 A(4, -2) and B(10, -7)

sqrt(61)

200

Write an equation for the circle with center (-4, 2) that is tangent to the y-axis

Solve

(x+4)^2+(y-2)^2=16

300

Write an equation for the parabola with 

focus (4, 4) and directrix x=-2

Solve

x=1/12(y-4)^2+1

400

Write the following equation in standard form. Identify the coordinates of the vertex, the axis of symmetry and the direction of opening of the parabola.

y^2-8y+18=x 

x=(y-4)^2+2

(2, 4), y=4, right

500

Write an equation for the ellipse that satisfies the following set of conditions: 

major axis 12 units long and parallel to the y-axis, minor axis 8 units long, center (-2, 5)

(y-5)^2/36+(x+2)^2/16=1