8th grade review game

Real numbers

100

what are real numbers 

numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

200

whats not a real number ?

imaginary number

300

Is a decimal a real number 

 Yes, decimal numbers are real numbers.

400

5 types of real numbers 

There are 5 classifications of real numbers: rational, irrational, integer, whole, and natural/counting

500

What is the difference between a real number and an integer?

Integers are a type of real number that just includes positive and negative whole numbers and natural numbers.

Linear equations

100

What are linear equations?

an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

200

What is a linear equation example?

2x – 3 = 0

 2y = 8

 m + 1 = 0

 x/2 = 3

 x + y = 2        3x – y + z = 3

300

Simple explanation of a linear 

a function that has either one or two variables without exponents.

400

How do you set up a linear equation

²a+²b=²c

500

3 forms of linear equations 

point-slope form

standard form

 slope-intercept form

Functions

100

What is a function?

a relationship between inputs where each input is related to exactly one output.

200

What is not a function 

Vertical lines

300

How to identify a function

check to see if any of the x values are repeated - if not, it is a function.

400

what is an example of what is a fuction and what isnt a fuction 

• Horizontal lines are functions that have a range that is a single value.
• Vertical lines are not functions.
• The equations y = ± x and x 2 + y 2 = 9 are examples of non-functions because there is at least one -value with two or more -values.

500

Example of a function in real life 

the distance a car has traveled (the output) is dependent on how long that car has been driving (the input)

(SOME THING RELATED TO THE WORD THINGY)

Pythagoream Thereom

100

What is the pythagoreom theorem 

Helps us find the missing side length of a right triangle.

200

How do you set up pythagroem theorem 

a^2+b^2=c^2

300

Can you solve the Pythagorean theorem with only C?

The Pythagorean theorem cannot be solved with only one value. 

400

when can you not use pythagoreom theorem 

When the triangle is not a right triangle 

500

What is C called in pythagoreom theorem 

Hypotenuse

Surface Area

100

What is Surface Area?

The space occupied by a two-dimensional flat surface

200

Formula for a Sphere,Cone,Cube

Sphere: SA = 4 * pi * r^2 

 Cone: SA = pi * r^2 + pi * r * s 

 Cube: SA = 6 * s^2

300

How do you calculate The surface area

Multiply the length and width, or c and b to find their area. Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

400

formula for a circle 

A = π r²

500

formula for solids

 A = 3 π r 2