8th Grade Math
Solve: 3 + a = 10
a = 7
Slope
Rise/Run
Change in y/Change in x
y2-y1/x2-x1
Slope intercept form of a linear equation.
y=mx + b
A cone is a three-dimensional figure like a pyramid, but the 1 base is what shape?
a circle
Solve: 6 = y - 3
y = 9
Slope-Intercept Form
y = mx + b
The point where the line crosses the y-axis.
y-intercept
A dependent variable represents the _____ of a function.
output
Solve: 4 + 2c = 8
c = 2
Pythagorean Theorem
a2 + b2 = c2
The measure of a line's steepness
slope
In the equation y = 3x + 7, where we are comparing cost, y-variable, and time, x-variable, what does the 3 represent in the situation?
(the units)
Slope or cost over time
Input is to output, as domain is to _____.
range
Solve: 15 = 3d-3
d = 6
Volume of a Cylinder, Cone, and Sphere
Cylinder -> V = pi*r2*h
Cone -> V = (1/3)pi*r2*h
Sphere -> V = (4/3)pi*r3
How to graph y=2/5x+4
Plotting the y-intercept at (0,4) and use the slope to find additional points on the line.
In a situation where a fountain is filled with water over time, what does the y-intercept represent?
The starting amount of water.
How much wood could a woodchuck chuck if a woodchuck could chuck wood?
FREE POINTS
Solve: -3(x+5) = 2x-5
x = -2
Standard form of a linear equation.
Ax + By = C
Steve bikes to his home from school, stopping twice due to traffic, before getting home. Describe a graph of his journey in the distance from his home over time.
decrease, constant, decrease, constant, decrease
Find the slope of the line passing through the following points: (-4, 0) and (-3, -2).
What is -2.
Solve: f(x) = 7x - 12, find f(4)
f(4) = 16