Radicals Review

Simplifying Radicals

100

Simplify the following Radical:

sqrt(48)

4sqrt(3)

200

Simplify the following radical:

sqrt(20)

2sqrt(5)

300

Simplify the following radical:

sqrt(48x³)

4xsqrt(3x)

400

Simplify the following Radical

sqrt(12n^2)

2nsqrt(3)

500

Simplify the following radical:

sqrt(448x^3)

8xsqrt(7x)

Graphing Radicals

100

Describe the transformation:

f(x)=sqrt(x)+1

Up 1

200

Describe the following transformation:

f(x)=2sqrt(x-3)

Vertical Stretch by a factor of 2, right 3.

300

Describe the following transformation:

f(x)=-sqrt(x)+4

Reflect over the x-axis, and up 4.

400

Describe the following Transformation:

f(x)=sqrt(x-7)+5

Right 7 and Up 5

500

Describe the following transformation:

f(x)=-2sqrt(-(x-2))+1

Reflect over the x-axis, reflect over the y-axis, right 2, up 1, vertical stretch by 2.

Solving Radical Equations

100

Solve for x:

sqrt(x-4)=5

x=29

200

Solve for x:

sqrt(x)-5=7

x=144

300

Solve for b:

2sqrt(b+3)=14

b=46

400

Solve for a:

1/2sqrt(a)+5=8

a=36

500

Solve for x:

-2/3sqrt(x+3)=-4

x=33

Exponent Laws

100

Simplify:

x^3*x^5

x^8

200

x^7/x^2

x^5

300

Simplify:

1/(2x^-4)

x^4/2

400

Write the following as an exponent:

sqrt(x^5)

x^(5/2)

500

Write the following as a simplified exponent:

sqrt(x^8/y^10)

x^4/y^5

Review

100

What is the vertex of the following:

y=(x+5)^2-2

(-5,-2)

200

Solve the following:

x^2-12x+27=0

x=9

x=3

300

What is the slope of the following:

y=-1/2x+6

Slope is 

-1/2

400

What is an asymptote?

a line that continually approaches a given curve but does not meet it at any finite distance.

500

What is the domain and range of the following?

f(x)=2|x+3|-4

D: (-oo,oo)

R:[-4,oo)