8th Math Final Review

Classifying Numbers

100

What's the difference between a rational and irrational number?

A rational number can be written as a fraction, an irrational one, cannot

200

What number groups would -1 belong to?

Rational, Irrational, Whole, Natural, Integers, and Real

Real, Integers, Rational

300

What number groups would 2/3 belong to?

Rational, Irrational, Whole, Natural, Integers, and Real

Real, Rational

400

What number groups would 0 belong to?

Rational, Irrational, Whole, Natural, Integers, and Real

Real, Rational, Whole, Integer

500

What number groups would 0.121456.... belong to?

Rational, Irrational, Whole, Natural, Integers, and Real

Irrational and Real

Definitions

100

What makes a graph proportional?

It goes through the origin and is a straight line

200

What makes something NOT a function?

If it repeats x/input or it doesn't pass VLT

300

What are the three names for the y values of any function?

f(x)

Output

Range

400

What is Slope Intercept Equation? Label the slope and y-intercept

y=mx+b 

b is the intercept

m is slope

500

What is a rational number?

A number that can be expressed as a ratio or fraction, examples 3 = 3/1

Slope

100

Solve for slope

(9, -4) and (-3, 8)

m = -1

200

The slope of the line with the points (20,13) and (10,6)

m = 7/10

300

Find the slope of the line that passes through the points (2,-6) and (4,16).

m = 22/2 = 11

400

What is the equation we use to find the slope between two points?

What is m = (y2 - y1)/(x2 - x1)

500

Graph the following equation:

y= 4x-5

Needs to start at -5, then go up 4 units and over one to the right

Scientific Notation

100

Write the following in Standard Notation:

5.6 x 10⁴

56,000

200

Write the following in Scientific Notation:

4,200,000,000

4.2 x 10⁹

300

Write the following in Standard Notation:

4.9 x 10^-3

0.0049

400

Write the following in Scientific Notation:

0.000019

1.9 x 10^-5

500

Write the following in Standard Notation:

69,000,000,000

6.9 x 10¹⁰

Random/Exponents

100

Where do I start my graph when I'm graphing a Slope Intercept Line?

We always start at the y-intercept

y=mx+b   We start at b

200

Simplify the exponents

(x⁵)⁷

x³⁵

We multiply the exponents together

300

Simplify the exponents

m¹³/m²⁷

We subtract the exponents. m^-14. But we can't have negative exponents so we must write it 1/m¹⁴

400

Solve for x if f(x)=37

f(x) = 7x-12

Plug in 37 for f(x). 37=7x+12. Add 12 on both sides, we're left with 49=7x. We divide both sides by 7, leaving us with x=7

500

What are the four types of slope? Draw an example of each and label them correctly

Negative goes down. Positive goes up

Zero is a horizontal line. Undefined is a vertical line