Fall Semester Final Exam Review

Unit 1 & 2

100

Solve for x

`2x+3=7`

`x=2`

200

Simplify the expression

`6x + 3(2x-1)`

12x-1

300

Write the following as an algebraic expression:

The sum of a number and 5 is 10

x + 5 = 10

400

Evaluate g(2) for the function below:

`g(x)= 5x-1`

g(2)=9

500

How many solutions does the equation below have?

`5x -4 =10x + 3`

One Solution

Unit 3

100

Provide an example of a RATIONAL number

ANSWERS VARY

200

Provide an example of a IRRATIONAL number

ANSWERS VARY

300

Always, sometimes or never true:

The sum of a rational number and a rational number is RATIONAL

Always True

400

Always, sometimes or never true:

The product of a rational number and a irrational number is IRRATIONAL

Sometimes True

500

Would the following be rational or irrational?

`sqrt(3)*sqrt(3)`

Rational

Unit 4

100

Simplify the following:

`(6a+1)+(-a-4)`

`5a-3`

200

Simplify the following:

`(1+2x^2-x)-(4x^2-5+2x)`

`(-2x^2-3x+6)`

300

Simplify the following:

`(x+2)^2`

`x^2+4x+4`

400

Simplify the following:

`(x+4)(x-3)`

`x^2+1x-12`

500

Simplify the following:

`(2x-6)(3x+2)`

`6x^2-14x-12`

Unit 5

100

Consider the function for the investment in a savings account. What does 15000 mean in this situation?

`f(x)=15000(1.08)^t`

The initial value

200

Consider the function for the investment in a savings account. What is the rate of decrease on the function?

`f(x)=15000(0.98)^t`

0.02 or 2%

300

Consider the function for the investment in a savings account. How much money would be in the account after 15 years?

`f(x)=15000(1.08)^t`

$47,582.54

400

Alex opened an account with $575 that appreciates at a rate of 5% yearly. Write an equation that he could use to predict the amount of money that would be in his account.

`f(x)=575(1.05)^t`

500

Alex opened an account with $588 that depreciates at a rate of 7.5% yearly. Write an equation that he could use to predict the amount of money that would be in his account.

`f(x)=588(0.925)^t`

Unit 6

100

Find the mean of the data set

(2, 5, 8, 10, 2, 1, 18)

6.57

200

Find the median of the data set

(2, 5, 8, 10, 2, 1, 18)

5

300

Find the IQR of the data set

(2, 5, 8, 10, 2, 1, 18)

8

400

Give an example of a correlation coefficient that would be MODERATE and NEGATIVE

Answers Vary (Between -0.7 and -0.5)

500

Find the range of the data set

(2, 5, 8, 10, 2, 1, 18)

17