Combining Like Terms
Simplify: 3x + 2x
5x
Simplify: 2(x+3)
2x+6
Answer one:
Slope is the rise over the _____.
OR
Slope is the rate of ______.
run
change
The word linear means the equation makes a straight _____ on the graph.
Line
In a function, every input has exactly _____ (#) output.
One (1)
Simplify: 3y - y
2y
4 ( 2x + - 1)
8x - 4
Slope of 2 means you go:
(up/down) 2 and
over to the (right/left) one
Up; right
What is the name of this linear equation?
y=mx+b
(Hint: Think of what 2 things it tells you about the line)
Slope/Intercept Form because it tells us our slope (m) and our y-intercept (b)
f(x) = x + 2
Solve f(1)
f(1) = 3
Simplify: - 5z - 2z
-7z
3 ( 4 - x )
12 - 3x
Calculate the slope between these two points:
Point 1: (2, 0)
Point 2: (-2, 8)
-2
What is the slope in this linear equation?
Y-Intercept?
y= -2x - 4
Slope (m)= -2
y-intercept= (0,-4)
f(t) = -3x - 8
Solve for t if: f(t) = 16
t = -8
-x + 3x - 4 + 5
2x + 1
-1 (y + y)
-2y
Calculate the slope between these points:
Point 1: (2, 5)
Point 2: (-2, -5)
To graph a linear equation, start by plotting your ________________ as your first point on the line before using your slope to find the second point.
y-intercept
f(x) = 2/3x + 18
Solve for x if: f(x) = 36
x = 27
-r + r - 10 + 9
-1 OR 0r - 1
- ( t - 5t + 2)
4t - 2
Calculate the slope between these two points:
Point 1: (0,0)
Point 2: (0, -5)
Undefined
Write a linear equation in slope/intercept form (y=mx+b) that has a slope (m) of -1 and a y-intercept (b) of 15
y= -x + 15
What type of line test do we use to check if a graph is a function or not (meaning there is only one output for each input)?
Vertical Line Test (VLT)