Functions
Slopes
Equations of Lines
Parallel and Perpendicular Lines
Linear Inequalities in 2 variables
100
A relation between things such that one input maps to only one output.
What is a function?
100
How far left or far right a point is, and how far up or far down a point is.
What are the x and y coordinates?
100
The general equation for slope-intercept form.
What is y = mx+b ?
100
The slopes of parallel lines are ___________.
What are the same?
100
The reason we'd use a dotted line instead of a solid one.
What is "if there was a < or >, not <= or >= "?
200
All possible inputs, and all possible outputs from those inputs for a function/relation.
What are domain and range?
(e.g. for f(x) = 4 , the domain is \mathbb{R} (all real numbers), while the range is {4} .)
200
A way to calculate the slope/steepness/gradient of a line.
What is
\text{rise}/\text{run} = \text{change in y}/\text{change in x} = (y_2 - y_1)/(x_2-x_1)
?
200
The name of the equation form which looks like this:
y-y_1 = m(x-x_1)
where m is the slope of the line, and (x_1,y_1) is a point on the line.
What is Point-Slope Form?
200
The slopes of perpendicular lines are __________ _________.
What are opposite reciprocals (flipped and negative)?
200
The direction we'd shade in for this inequality:
y>=2x+3
What is above the line?
300
The value of p(x) = x^3-10 when x = -4 .
What is -74?
300
The slope of a ski slope that's 400 feet wide and 550 feet tall.
What is 550/400 = 1.475 ?
300
An example of line's equation written in standard form.
What is (something of the form Ax+ By+C = 0 )?
300
(True/False) Perpendicular lines can intersect at any angle to each other.
What is False?
300
Whether we'd use a dotted/solid line, and the direction we'd shade for this inequality:
3x+2y-1<0
What is "a dotted line, and below the line"?
400
The reason why this is or isn't a function:
What is not a function because when x=1 , there are two values for y ?
400
The slope of the line with the steepest slope (going left to right):
What is 3 ?
400
The line y-2=3(x+1) rewritten in slope-intercept form.
What is y=3x+5 ?
400
An example of two lines which are neither parallel nor perpendicular.
What are
y=9x-5
y=4x+100
400
The way we'd shade the graph of this inequality:
x-3y+4<0
What is above the graph?
500
The domain and range of this function:
What are
(-\infty, \infty) and [0,\infty)
?
500
(True/False) This is the correct way to find the slope between (0,5) and (2,6):
m = \frac{6-5}{0-2}
What is False?
500
(True/False) These are different lines:
y = 2x+3
6x-3y+12=0
What is False?
500
An example of two lines which are overlapping entirely.
What are (answers vary)
x+y-2=0
10x+10y-20=0
500
5 points that are solutions to the following inequality:
2x-4y+3>=0
What are (answers vary):
(0,0),(1,-2),(2,-5),(43,-100),(-10,20)
