Ma119 Quiz 3 Review

Radical Expressions

100

Rationalize the denominator + simplify if possible:

6/(3-sqrt7)

9+3sqrt7

200

Simplify:

sqrt(80m^5n^6)

4m^2n^3sqrt(5m)

300

Rationalize the denominator + simplify if possible:

6/(5-sqrt2)

(30+6sqrt2)/23

400

Simplify:

sqrt(147a^7b^11)

7a^3b^5sqrt(3ab)

500

Rationalize the denominator + simplify if possible:

8/(1-sqrt5)

-2-2sqrt5

Radical Equations

100

Solve + Check:

sqrt(4m+2)+2=6

m=7/2

200

Find the domain of the function + express in interval notation.

f(x)=sqrt(3x-1)

[1/3,infty)

300

Solve + Check:

sqrt(2t+15)=t

t=5

400

Find the Domain of the function + write in interval notation.

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

(-infty,2/3]

500

Solve + Check:

sqrt(w+25)+5=w

x=11

Complex Numbers

100

Simplify. Express in a+bi form:

4i(5-3i)

12+20i

200

Simplify:

-6i(-3-2i)

-12+18i

300

Simplify. Express in a+bi form:

(3+4i)^2

-7+24i

400

Simplify:

(4+3i)(-5+6i)

-38+9i

500

Simplify:

(6-5i)^2

11-60i

Random

100

Simplify:

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

2

200

Find the solution set for each + check:

|3x-6|+4=13

{-1,5}

300

Solve:

2x+15y=9

x-18y=-21

(-3,1)

400

Solve and list domain restriction.

2/(x^2-1)=1/(x+1)

x=3

Domain: 

(-infty,-1)uu(-1,1)uu(1,infty)

500

Find x. (Not on final - just for fun)

3^33+3^33+3^33=3^x

x=34