8th Grade Math EOG

Transformations

100

The point A (6, 10) is translated 8 units down and 4 units left.  What are the coordinated of A'?

What is (-2, 6)

(x-8, y-4)

200

A(0,3), B(2,6), C(3,9) with a scale factor of 3. Find the dilation

What is A'(0,9), B'(6,18), C'(9,27)

300

Triangle ABC has the points A (-2, 0), B (-4, 6) and c (1, 7). The triangle is flipped over the y-axis. Find the new coordinates.

(x, y) --> (-x, y)

A (2,0)  B (4, 6) C (-1, 7)

400

A(6,4), B(10,6), C(14,8) and A'(3,2), B'(5,3), C'(7,4). What is the scale factor?

What is 1/2

500

A'(3,2), B'(8,6), C'(10,8) had a scale factor of 2. Find the original pre-image ABC

What is A(1.5,1), B(4,3), C(5,4)

Pythagorean Theorem

100

The side opposite of the 90 degree angle

What is the hypotenuse

200

Two equation for the Pythagorean Theorem

1. Solving for the hypotenuse

2. Solving for a leg

What is a² + b² = c²

What is c² - a² = b² OR c² - b² = a²

300

A = 3, B = 4, what is C?

What is 5

400

If A = 6, B = ?, and C = 10

What is B = 8

500

A square has a perimeter of 8 cm. The diagonal of the square is between what two integers?

2 and 3

Linear Equations

100

The equation for slope-intercept form

What is y = mx + b

200

Slope is ______ over ______, the change in _(x or y)_ over the change in _(x or y)_.

Rise over run

change in y over the change in x

300

The slope is 4. The y-intercept is 6. Write an equation

What is y = 4x + 6

400

Given 2 points (3, 6) and (6, 9) what is the equation?

What is y = x + 3

500

(2,5) and a slope of -3/2. Write an equation

What is y = -1.5x + 8

Miscellaneous

100

4x - 2y = 8. What are the x and y intercepts?

x-intercept = (__, __)

y-intercept = (__, __)

(2, 0) x-intercept = 2 

(0, -4) y -intercept = -4

200

Which set of points is not linear 

A. (1,3), (2,5), (3,7) 

B. (1,2), (2,4), (3,9) 

C. (-2,6), (0,4), (2,2)

What is B

300

Caleb and Quincy are brothers and decide to have a bicycle race. Since Quincy is older, he gives Caleb a 3 mile head start. Caleb cycles at 4 mph and Quincy cycles at 6 mph. Write an equation for Caleb

What is y = 4x + 3

400

In the equation y = 4x - 8, if x = 6 then what does y equal?

What is 16

500

y = -4/3x + 7 is in slope intercept form. What is it in standard form?

What is 4x + 3y = 21

4/3x + y = 7

3(4/3x + y = 7)

4x + 3y = 21

Area, Volume and Perimeter

100

What is the volume formula for a cylinder?

pi(r²)h

200

The volume formula for a cone

(1/3)pi(r²)h

300

How do you find the volume of a cube?

L x W x H 

L³

400

Volume formula for a sphere

(4/3)pi(r³)

500

When finding the volume of a cylinder, if I tripled the radius and doubled the height then how much would the volume increase by?

What is 18