Algebra II Final Review (Full Review)

Question 1

Arithmetic, geometric or neither? 2, -4, 12, -48, ...

Accepted Answer

Neither

Question 2

Evaluate log(1000)

Accepted Answer

3

Question 3

In the equation shown, what is the initial amount invested?

Accepted Answer

$7,500

Question 4

What is the interest rate in the continuous compound interest formula shown?

Accepted Answer

5%

Question 5

In how many ways can a manager and an assistant manager be chosen from 15 applicants?

Accepted Answer

210

Question 6

You buy a truck for $40,000. Truck's value decreases by 10% each year. Find value in 2 years.

Accepted Answer

$32,400

Question 7

Which of the following is equivalent to log53x2?

Accepted Answer

log53 + 2log5x

Question 8

What is the solution of 6x + 1 = 62x - 3?

Accepted Answer

4

Question 9

Find r for the geometric sequence: -8, -16, -32, -64, ...

Accepted Answer

r = 2

Question 10

Which is the solution to log4(5x - 1) = 3?

Accepted Answer

x = 13

Question 11

Evaluate log381

Accepted Answer

4

Question 12

Evaluate 7-2.

Accepted Answer

None of these.

Question 13

A 5 x 1 matrix is multiplied by a 1 x 3 matrix. What are the dimensions of the new matrix?

Accepted Answer

5 x 3

Question 14

How many different passwords of 2 letters and 3 digits are possible if repeats are allowed?

Accepted Answer

676,000

Question 15

Given P(A) = 0.55, what is P(Not A)?

Accepted Answer

0.45

Question 16

What is the sum of the first 5 terms of the sequence 1, 3, 5, ...?

Accepted Answer

25

Question 17

What is the rule for the nth term of the sequence -2, -16, -128, -1024, ... ?

Accepted Answer

an = -2(8)n-1

Question 18

Which of the following statistics is NOT shown in a boxplot?

Accepted Answer

Mean

Question 19

Dimensions for 3 matrices are given A(2 x 3), B(2 x 2), C(3 X 1). Which product is undefined?

Accepted Answer

AB

Question 20

Evaluate log4(1/16)

Accepted Answer

-2

Question 21

Evaluate the expression 3x + 2 when x = -2.

Accepted Answer

1

Question 22

How many outcomes are possible when you flip a coin five times?

Accepted Answer

32

Question 23

What is the rule for the nth term of the sequence 50, 42, 34, 26, 18, ... ?

Accepted Answer

an = 50 - 4n

Question 24

Find the 8th term of the sequence an = 13(-2)n-1

Accepted Answer

-1664

Question 25

Use matrix operations to find x: -3[ -1 3 4 ] + [ x 2 1] = [ 8 -7 -11]

Accepted Answer

5

Question 26

Event A is the event that you draw a Spade when drawing a single card from a deck. What is Ac?

Accepted Answer

drawing a diamond, heart, or club

Question 27

Which function represents exponential decay?

Accepted Answer

f(x) = 8 (0.9)x

Question 28

Arithmetic, geometric or neither? 9, -1, -11, -21, ...

Accepted Answer

Arithmetic

Question 29

Find Q3 for the data set: 10, 10, 12, 13, 13, 13, 15, 17, 22

Accepted Answer

16

Question 30

3 cars from a group of 12 are to be displayed inside a dealership. How many displays possible?

Accepted Answer

220

Question 31

Rewrite the exponential expression using logs: 5x = 125

Accepted Answer

log5125=x

Question 32

Which account will earn you the most money?

Accepted Answer

6% interest, compounded daily.

Question 33

How often is the interest compounded?

Accepted Answer

monthly

Question 34

You roll an 8-sided die, numbered 1 to 8. What is the probability that you roll a 3 or a 7?

Accepted Answer

1/4

Question 35

Find the 34th term of the sequence an = -71 + 4n

Accepted Answer

65

Question 36

You roll a die twice. What is the probability of rolling a number less than 3 both times?

Accepted Answer

4/36

Algebra II Final Review (Full Review)

Questions 36

Algebra II Final Review (Full Review)

Questions 36