SI 24' Team 3 Review

Fractions

100

5/4-4/5

9/20

200

5/6+2/11

67/66

300

(x^2/(12x))/((2x)/3)+1

27/24

400

Fully distribute!

(x/y+a/b)/(c/D)

(Dbx+Day)/(cby)

500

Fully distribute!

(x/20-(6y)/10)/(8/(12y)-8/(12x))

(12x^2y-144xy^2)/(160x-160y)

Factoring

100

x^2-4

(x-2)(x+2)

200

x^2-3

(x-sqrt(3))(x+sqrt(3))

300

5x^2+14x-3

(5x-1)(x+3)

400

36x^2-16x-1

(18x+1)(2x-1)

500

x^2-2x-9

(x+2.16)(x-4.16)

Limits

100

x approaches 2

Lim((2x^2)/(1-x))

-8

200

x approaches 1

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

4

300

x approaches negative infinity

Lim(-e^(-x))

-oo

400

x approaches infinity

(e^x)/(x^10)

oo

500

x approaches 1.5

\frac{x^{2}+3x+2}{2x^{2}-x-3}

DNE

Trig

100

No calculators!

Sin((7pi)/6)

-1/2

200

A right triangle has sides 9 and 5, what's the length of the missing side?

sqrt106

300

List the three pythag identities

sin^2+cos^2=1

1+cot^2=csc^2

tan^2+1=sec^2

400

Show your work to make this 1=1

(tan^2/sec^2)+(cot^2/csc^2)=1

1=1

500

Show your work to make this 1=1

(1)/(1-sin)+(1)/(1+sin)=2sec^2

1=1

Log/Exponents

100

5^x+5^(3x)=1

x=0

200

10^x=904

2.95616843

300

8^x(2^(3x))=64^5

x=5

400

log_4(2^x)+1=x

x=2

500

(log(x/2))/(log(3/x))=5

x=+-sqrt(600000)