Final Review

Logs

100

Write the equation in logarithmic form:

        12²=144

log₁₂144=2

200

Write the given equation in exponential form:

log₅25=2

5²=25

300

Solve the given equation: 

log₂5 + log₂x = log₂32

6.5

400

What number makes y=logx undefined?

0

500

Use log₄2=0.5, log₄3=0.7925 and log₄5=1.1610 to approximate the value of the expression log₄30.

2.4535

Miscellaneous

100

Use the graph of f(x)=x to describe the transformation that results in the graph of g(x)=x+2

g(x) is the graph of f(x) translated 2 units up.

200

What are the zeros of the following equation?

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

0, 4, -3

300

What is Ms. Germansky's birthday?

June 11

400

What is Ms. Germansky's niece's name?

Avi or Avianna

500

What college did Ms. Germansky go to?

Pitt

Geometric Sequences

100

Find the common ratio of the geometric sequence?

3, 9, 27,...

3

200

Find the 15th number in the geometric sequence.

1, 2, 4...

16384

300

What is the geometric sequence equation?

a_n=a₁r^n-1

400

Find the 10th term of the geometric sequence.

1, 4, 16,...

262,144

500

Find the 20th term of the geometric sequence.

3, 4.5, 6.75, 10.125

6650.51346

Simplify Expressions

100

Simplify: 

x³x²

x⁵

200

Simplify:

(2x⁷)(5x²y³)

10x⁹y³

300

Simplify:

(x⁶)²

x¹²

400

(3x³y⁴)²

9x⁶y⁸

500

(50x⁵y¹⁶z²)⁰

1

Probability

100

You have 10 marbles. Out of the 10 marbles 2 are blue. What is the probability you picked out a blue marble?

1/5

200

You have 2 yellow marbles, 3 red marbles and 3 blue marbles. What is the probability that you choose a red marble at random?

3/8

300

You have 8 zebras, 3 turtles and 2 elephants. What is the probability that you choose a zebra, and then an elephant?

4/39

400

You are at Kennywood and lining up to ride the Phantom. The tallest person in line must go first. There are 10 people in line. How many different ways are there to line up?

362880

500

Based on what you know about Ms. Germansky, what is the probability that she enjoyed making this review game?

0