2nd Semester Final Review

Polynomials

100

Classify the following polynomial based upon degree and number of terms:

3x² - 5x

Quadratic Binomial

or

2nd Degree Binomial 

200

Simplify the following

4x²(5x³ + 6x² - 10)

20x⁵ + 24x⁴ - 40x²

300

Simplify the following:

(6w³ - 7w + 10) - (-7w³ + 4w² + 8w - 10)

13w³ - 4w² - 15w + 20

400

Classify the following based upon degree and number of terms:

6

Constant Monomial

500

Simplify the following

(x - 8)²

x² - 16x + 64

Quadratics

100

How has the following parabola been shifted?

y = (x - 7)²

Right 7 units

200

Write the equation of a parabola that has been:

1. Vertically stretched 

2.  Reflected across the x-axis

3.  Moved down 10 units

y = -2x² - 10

300

What is the vertex of the parabola?

f(x) = 3(x + 5)² + 9

(-5, 9)

400

Use factoring to SOLVE the following quadratic equations.  

x² - 12x -45

x = 15

x = -3 

500

Diego hits a baseball.  The height (h)  of the baseball in feet (t) seconds is given by the function:

h(t) = -16t² + 30t + 6

How many seconds will the ball be in the air?  

2.06 seconds

Systems

100

What are the 3 ways to solve a system of equations?

Graphing
Substitution

Elimination 

200

Solve the following system:

-7x - 2y = -13
x = 2y + 11

(3, -4)

300

If two lines are parallel, then they have _________________ solution. 

No solution. 

400

Mrs. G and Mr. A went to the concession stand.  Mrs. G ordered 2 slices of pizza and 1 soda for a total of $7.  Mr. A ordered 1 slice of pizza and 2 sodas for a total of $6.50.  

Write a system of equations to model this situation.  DO NOT SOLVE.

2p + s = 7
p + 2s = 6.50

500

Solve the following system:

5x + y = 9
10x - 7y = - 18

(1, 4)

Statistics

100

What are the 3 ways to describe shape?

Symmetric

Skewed Left

Skewed Right

200

When data is symmetric, you should use WHICH measure of center?

Mean or Median

300

When data is skewed, you should use which measure of spread?

IQR 

400

A data point that is far outside the norm is called an ___________. 

Outlier 

500

Just because two variables are strong __________________, does not mean they have a _______________ relationship. 

1. correlated/related

2.  Casual 

Throwbacks

100

Find the slope between the two points:

(4, 5) and (10, 6)

1/6

200

The population of bacteria doubles every hour.

Would this be represented by a linear, exponential, or quadratic relationship? 

Exponential 

300

Solve for x:

-2x + 8 - 10x + 9 = 3(5x -3) - 7

x  = - 11

400

What "test" determines if a relation is a function?

Vertical Line Test (VLT)

500

How are perpendicular lines related? 

Their slopes are opposite reciprocals.