8th Grade Math

Transformations

100

Which type of transformation does the shape change the size?

Dilations

200

What type of transformation is a turn?

Rotation

300

Shapes that have the same size and the same shape are called what?

Congruent

400

If a shape has the same shape, but not the same size then the shapes are called what type of figures?

Similar

500

Name all 4 types of transformations

Translation, rotation, reflection, dilation

Slope

100

How do you calculate slope?

y₁-y₂/x₁-x₂

200

Calculate the slope between these two points

(2,1) and (4,5)

2

300

Calculate the slope

(-1,3) and (2,9)

2

400

Calculate the slope

(-4,-3) and (-2,-2)

1/2

500

Calculate the slope

(-7,-10) and (-3,-13)

-3/4

Writing Equations

100

What is slope-intercept form?

y=mx+b

200

Write an equation in slope-intercept form

m=6

b=-4

y=6x-4

300

Write an equation in slope-intercept form.

m=-8

b=-9

y=-8x-9

400

Write an equation given the 2 points

(0,4) and (1,9)

y=5x+4

500

Write an equation given the 2 points

(0,-3) and (2, 5)

y=4x-3

Exponents/Scientific Notation

100

Write this number is scientific notation

0.0057

5.7x10^-3

200

Simplify

(x³)⁵

x¹⁵

300

Evaluate

3.67x10⁷+7.62x10⁷

1.129x10⁸

400

Simplify

2x⁹/x³

2x⁶

500

Evaluate

3.695x10^-9/2.147x10^-7

1.721x10^-2

Pythagorean Theorem

100

Write the equation that is the Pythagorean Theorem. 

a²+b²=c²

200

A ladder is placed 5 feet from the wall. The ladder reaches 12 feet up the wall. How long is the ladder?

13 feet

300

Do the following sides form a right triangle? 

6,9, and 12

No

400

What is the third side of a right triangle if the hypotenuse is 15 and one of the other sides is 12?

9

500

John has a 20 foot ladder and he trying to cut down a branch that is 16 feet up the tree. How far from the base of the tree does he need to place the ladder?

12 feet