Grade 8 Math Review

Linear Equations

100

What is slope intercept formula?

y=mx+b

200

y=mx+b, what part of the formula is the slope?

m

300

What is the slope of a line?

Rise over Run or change in y over the change in x.

400

Describe what the graph of y=3x-5 would look like on a graph.

Use as much detail as you can!

slope of 3 and y-intercept of -5 going up to the right

500

What is the difference between a negative slope and a positive slope?

Positive is up to the right, negative is down to right

Transformations

100

Define Translations and give an example

Move the shape up, down, diagonally. 

200

What are the important things you need to know to rotate an object?

Center of Rotation, Angle of Rotation, and direction

300

If I rotate 90 degrees clockwise, reflect the image from point A, and translate an up 3 spaces, What do I still know about the object?

The angles and sides will still be the same measure. Shape is the same size. 

400

What is a Dilation and what does it do?

Makes the image smaller or bigger but keeps the angles the same and side lengths Proportional to the original. 

500

What is the difference between a Transformation and a Dilation

Transformations keep the shape the same while Dilations make the image similar (bigger or smaller) but keep the angles the same and the sides Proportional.

Exponents

100

What is 9 as a single exponent

3²

200

Write the following as a single exponent

(10³ )⁵

10¹⁵

300

What is 10⁰

1

400

Write the Following as a single exponent:

2⁵ * 2³

2⁸

500

How can you write 10^-5 with a positive exponent

1/10⁵

Solving Equations

100

-7x -9 = -23

x= -2

200

3(2x + 1) + x = -39

X=6

300

20 - 7x = 6x - 6

x=2

400

p − 4 = −9 + p

No Solution

500

−3(4x + 3) + 4(6x + 1) = 43

x = 4

Pythag and Volume

100

What is Pythagorean Theorem?

It is the equation to find the missing sides of a right triangle. 

a² + b² = c²

200

How can you prove a triangle is a right triangle?

Using Pythagorean theorem to show that the equation is true.  

300

What is the volume of a cone with a height of 5 and a radius of 3?

47.1 units cubed

400

What is the length of the hypotenuse when the legs are 6 and 8?

a²+ b² = c²

6² + 8² = c²

36 + 64 =100

c = 10

500

If I double the Height of a cylinder, what will happen to its volume?

Double

Throwback

100

(−3) ∗ (−11) =

33

200

-5+7

2

300

What is the angle measure of a straight line?

180 degrees

400

Simplify:

-5x+2x-y

-3x-y

500

What is 210 divided by 5?

42