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
Linear or Nonlinear
y = 3x - 5
Linear
Solve: 6 = y - 3
y = 9
Slope-Intercept Form
y = mx + b
The point where the line crosses the y-axis.
y-intercept
Function or Not a Function
(1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4)
Not a function
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
True or false: This is a rational number
square root 2 34
What is false.
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
What is the value of y for the following function if X=7 y=2/5x+4
Y= 6.8 or 34/5
In a situation where a fountain is filled with water over time, what does the y-intercept represent?
The starting amount of water.
Numbers that include radicals that are NOT perfect squares...and pi
What are irrational numbers?
Solve: -3(x+5) = 2x-5
x = -2
Triangle Sum Theorem (Interior angles of a triangle.)
Angle A + Angle B + Angle C = 180 degrees
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.
Linear or Nonlinear?
{(0,2),(1,5), (2,10), (3,15)}
Nonlinear
A ladder is leaning against a wall. The distance from the bottom of the ladder to the wall is X feet, and the ladder reaches a height of 15 feet on the wall. The ladder itself is 25 feet long. What is the value of x?
x=20 feet
Answer in terms of
pi
96
pi
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 =-200 feet per mile
Find the X intercept
y=−2x+6
3
Tahara starts her 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 where she stopped.
How far is Tahara from the Ranger Station now, in a straight line?
round to the nearest tenth.
10 miles