8th Grade Math
8th Grade Math
Equations
Equations
8th Grade Graphing
Functions Math
Miscellaneous
100
Solve: 3 + a = 10
a = 7
100
Slope
Rise/Run
Change in y/Change in x
y2-y1/x2-x1
100
Slope intercept form of a linear equation.
y=mx + b
100
Slope of y=2x-4
What is m=2
100
Linear or Nonlinear
y = 3x - 52
Linear
200
Solve: 6 = y - 3
y = 9
200
Slope-Intercept Form
y = mx + b
200
The point where the line crosses the y-axis.
y-intercept
200
y-intercept of y=3x-8
What is -8
200
Function or Not a Function
(1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4)
Not a function
300
Solve: 4 + 2c = 8
c = 2
300
Pythagorean Theorem
a2 + b2 = c2
300
The measure of a line's steepness
slope
300
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
300
True or false: This is a rational number
square root 2 34
What is false.
400
Solve: 15 = 3d-3
d = 6
400
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
400
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.
400
In a situation where a fountain is filled with water over time, what does the y-intercept represent?
The starting amount of water.
400
Numbers that include radicals that are NOT perfect squares...and pi
What are irrational numbers?
500
Solve: -3(x+5) = 2x-5
x = -2
500
Triangle Sum Theorem (Interior angles of a triangle.)
m<A + m<B = m<C
500
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
500
Find the slope of the line passing through the following points: (-4, 0) and (-3, -2).
What is -2.
500
Linear or Nonlinear?
x | 1 | 2 | 3 | 4
y | 5 | 10 | 15 | 20
Nonlinear
600
A ladder is leaning against a wall. The distance from the bottom of the ladder to the wall is 3x feet, and the ladder reaches a height of 4x feet on the wall. The ladder itself is 25 feet long. What is the value of x?
x=5
600
Answer in terms of
pi
96
pi
600
Lena and Marcus are biking along a scenic route. At mile 3, Lena checks her GPS and sees they are at an elevation of 700 feet. At mile 9, Marcus notes they’ve dropped to an elevation of 100 feet.
What is the slope of the trail between these two points?
Slope =-1
600
Find the X intercept
y=−2x+6
3
600
Bertha starts hers hike at the Ranger Station. She hikes 6 miles east to the Waterfall Overlook. From there, she goes 8 miles north to a spot known as The Cliff View. Finally, she turns and hikes 10 miles west to the spot on the trail where she poo'd her pants on the last hike.
How far is Bertha from the Ranger Station now, in a straight line?
round to the nearest tenth.
8.9 miles