Vocabulary
What variable is my input?
Independent Variable
Is the following equation linear or non-linear?
y = x2 + 2
Non-linear
What does b stand for in the slope intercept form?
Y-Intercept
What is the slope of the following equation?
y = -3x +1
-3
35 miles per hour
Where do I find the dependent variable on a graph?
The y axis.
Is the following equation linear or non linear?
y = x3 - 14
Non-linear
What does m stand for in slope intercept form?
Slope
Solve for the slope of the following points:
(0,0)
(2,5)
5/2
Jonah is playing in a soccer game. 5 minutes into the game he scores a goal. 10 minutes into the game he scores another. What is the rate of change? What does it mean?
1 goal is scored every 5 minutes
What is the basic definition of a function?
A rule or relationship with exactly one output for every input.
Do the following points make a linear or non linear equation?
(0,0) (1,2) (2,4) (3,6)
Bonus 100 points if you write the equation.
Linear, y = 2x
Put the following equation into slope intercept form:
x + y = 30
y = 30 - x
y = -x + 30
Given the following equation, name two points on the line:
y=3x
(0,0) (1,3) (2,6) (-1,-3)
Suppose that the water level of a lake is 35 feet and that it is receding at a rate of 1.5 feet per day. Write an equation that fits the scenario.
y = 35 - 1.5x
y = -1.5x + 35
What does 3.2 represent in the following equation:
y + 3.2 = 4x
The y-intercept
Do the following points make a linear or non linear equation?
(0,0) (1,1) (2,4) (3,9)
Bonus 100 points if you write the equation
Non Linear
y = x2
Put the following equation into slope intercept form.
4x + 2y = 10
y = -2x + 5
y = 5 - 2x
Given the following equation, name two points on the line:
y = 3/2x -2
(0,-2) (2,1) (-2,-5) (4,4) (6,7)
A runner traveled 2 miles in 15 minutes, what is their speed in miles per hour?
8 miles per hour
Name two other ways to reflect the vocab word: slope
Rise/Run, (y2-y1)/(x2-x1), rate of change, y/x
What is the difference between a linear and non linear equation?
Linear equations have a constant rate of change, non linear does not.
Put the following equation into slope intercept form:
3/4y = 1/3x + 4
y = 4/9x + 16/3
Solve for the slope of the following equation:
4x - 7y = 13
4/7
Greg works at Chick-Fil-A, he makes $19 an hour at his job. Reggie works as a tutor, he makes y = 15x + 10 per hour he works. Who makes more after 2 hours? 5 hours? After how many hours do they make the same amount?
2 hours- Greg $38, Reggie $40
5 hours- Greg $95, Reggie $85
Same made after 2.5 hours