Algebra 2 sem 2 review

Logs

100

Evaluate:  log₉ 1

0

200

condense: 

2log x + log y - 3 log w 

log (x²y/w³)

300

expand:  log₅ (2x³y z⁴)

log₅ 2 +3 log₅x +log₅ y + 4 log₅ z

400

Solve:  

log₃ (x - 5) = log₃ (2x - 7)

no solutions

500

Solve:  3^x = 81

4

Probability

100

Basic Probability is....

Want/ total possible

200

The probability of rolling a 3 or less on a single dice is...(as a % please)

50%

300

As a percent rounded to one decimal place, the probability of drawing a face card and a 4, without replacement.

1.8%

400

Evaluate:

Bob is choosing 18 students from the club of 21 to go on the field trip.  He can do this in how many ways?

1330

500

How many ways can 10 runners come in 1st, 2nd and 3rd?

720

Trig

100

This is what 240 degrees is in radians.

4pi/3

200

An angle coterminal to 240 degrees is...

600 or -120

300

The reference angle for a 730 degree angle is...

10 degrees

400

The sin of an angle is 3/4, so the cosecant of the angle is...

4/3

500

The sides of a right triangle are 6 and 9, so the hypotenuse is...

10.8 or sqroot of 117

Rational Equations

100

To find the Vertical Asymptote (VA), we...

Set the denominator =0 and solve.

200

The horizontal asymptote for y = 2x-5/ 3x+7 is...

y=2/3

300

Add, simplify:  

(x - 3)/ 2x  + (2x + 1) / 2x

(3x -2)/2x

400

Simplify:  

x³(x + 2) (x -3) (x -1)/ x⁴ (x-1)(x + 2)

(x - 3)/x

500

Solve for x:   

x/(x-4) = (x-1)/(x+7)

x=1/3 or .33

Misc

100

The number of inches in a foot.

12

200

The number of asmt's you need to be able to take a quiz.

(n - 1) or one less than the number we did that week.

300

Pythagorean Theorem

a² + b² = c²

400

The number of times we have changed seats this semester.

4 or 5 ( I can't remember for sure:))

500

The name of Mrs. Smith's dog:)

Chili