Linear Equations
What is slope intercept formula?
y=mx+b
Define Translations and give an example
Move the shape up, down, diagonally.
What is 9 as a single exponent
32
-7x -9 = -23
x= -2
What is Pythagorean Theorem?
It is the equation to find the missing sides of a right triangle.
a2 + b2 = c2
(−3) ∗ (−11) =
33
y=mx+b, what part of the formula is the slope?
m
What are the important things you need to know to rotate an object?
Center of Rotation, Angle of Rotation, and direction
Write the following as a single exponent
(103 )5
1015
3(2x + 1) + x = -39
X=6
How can you prove a triangle is a right triangle?
Using Pythagorean theorem to show that the equation is true.
-5+7
2
What is the slope of a line?
Rise over Run or change in y over the change in x.
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.
1
20 - 7x = 6x - 6
x=2
What is the volume of a cone with a height of 5 and a radius of 3?
47.1 units cubed
What is the angle measure of a straight line?
180 degrees
Use as much detail as you can!
slope of 3 and y-intercept of -5 going up to the right
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.
Write the Following as a single exponent:
25 * 23
28
p − 4 = −9 + p
No Solution
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
Simplify:
-5x+2x-y
-3x-y
What is the difference between a negative slope and a positive slope?
Positive is up to the right, negative is down to right
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.
How can you write 10-5 with a positive exponent
1/105
−3(4x + 3) + 4(6x + 1) = 43
x = 4
If I double the Height of a cylinder, what will happen to its volume?
Double
What is 210 divided by 5?
42