Semester Review

Systems

100

What is the form of a linear equation?

y = mx + b

200

Is (0, -2) a solution to the system?

x - y = 9

x + 6y = -12

No, (0, -2) is not a solution.

300

What is the point of intersection for the system? 

y = 2x - 5

3x + y = 10

(3, 1)

400

Is (0, -2) a solution to the system of inequalities? 

x - y > 1

y < 2x - 1

Yes

500

   -10x + 4y = -16

+ 2( 5x - 2y = 8 )

_______________

           0 = 0

How many solutions are there?

Infinitely many

Exponents

100

2⁰

1

200

196^-1

1/196

300

Is the following growth or decay? 

y = 100 (0.65)^t

Decay

400

What is the common ratio for the following sequence: 

2, 12, 72, ...

r = 6

500

Simplify:  5⁴ x 5⁸

5¹²

Data Analysis

100

use the following data set: 1, 2, 2, 5, 7, 2, 3, 1, 6, 22

What is the outlier?

22

200

use the following data set: 1, 2, 2, 5, 7, 2, 3, 1, 6, 22

Find the mode.

2

300

use the following data set: 1, 2, 2, 5, 7, 2, 3, 1, 6, 22

Find the median.

2.5

400

use the following data set: 1, 2, 2, 5, 7, 2, 3, 1, 6, 22

Find the mean.

5.1

500

use the following data set: 1, 2, 2, 5, 7, 2, 3, 1, 6, 22

If I take out the outlier, what is the new mean?

2.9

Polynomials

100

Classify the polynomial: 3x² + 2x + 4

(Monomial, binomial, trinomial, etc.)

Trinomial

200

Simplify: 

( 3x² - x ) + ( 4x - 9 )

3x² + 3x - 9

300

Multiply:  ( 2x + 3 )( x - 1)

2x² + x - 3

400

Factor:  x² - 8x + 16

( x - 4 )( x - 4 )

500

Factor:  x² + x - 30

( x + 6 )( x - 5 )