Section 1
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what is a linear inequality?
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Section 1
(50 cards)
what is a linear inequality?
It is an equation with a <, >, < or =, > or = in the place of the =.
graph of exponential growth function
dependent variable
the OUTPUT or RESULT in a situation or problem. It's the variable YOU CANNOT control. It's the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.
changing the "m" in the slope-intercept form of the equation of a line changes what?
the steepness of the line
Range
When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.
range
set of all the possible y-values. OUTPUTS
ordered pair
the x and y coordinates of a point on the coordinate plane (x,y)
Median
When the data is put in order from smallest to largest, it is the number in the middle. If there are two numbers in the middle, you add them together then divide by 2. (You take their average)
graph of exponential decay function
What is the "rate of change" on a graph?
Slope
domain
set of all of the possible x-values. INPUTS
The solution to a system of linear inequalities
The intersection of the two half-planes.
Where are the solutions of a quadratic function?
at the x-intercepts. They are also known as zeros and roots.
Exponential functions y=2^x Where the variable is the exponent.
Over equal intervals, the y-values are increasing at an increasing rate or decreasing at a decreasing rate.
Arithmetic Sequence
A pattern in which you add a number each time.
independent variable
the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.
What is the SOLUTION of a system of equations?
where the lines touch or cross
graph of a linear function
What is a system of equations or system of inequalities?
2 or more equations or inequalities graphed on the same coordinate plane
What are "like terms"?
mathmatical terms that have the SAME variables raised to the SAME exponents.
Linear functions
Over equal intervals, the y-values increase by adding or subtracting the same number each time. *Note that the slope in the example would be 3/1= 3
vertical line test
a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.
Geometric Sequence
A pattern in which you multiply or divide each term by the same number.
How do the slopes of parallel lines compare?
They are the same
what slope does a HORIZONTAL line have?
slope = 0
How to tell when a function is increasing or decreasing?
Always read a graph from left to right, just like the words on a page. If it goes up, it is increasing. If it goes down, it is decreasing.
in y = mx + b, "b" stands for?
the y-intercept
graph of a quadratic function
How do you combine like terms?
Add their coefficients.
variable
NOT A NUMBER. A letter or symbol that stands for a number.
what is the x-intercept?
the point where the graph crosses the x-axis. It has the coordinates (x, 0)
continuous function
data appears as a smooth curve on a graph.
Percents
15% can also be written as 0.15, or as 15/100 which then must be reduced to 3/20.
Maximum or Minimum
Maximum is at the highest point of a parabola. Minimum is the lowest point.
Axis of Symmetry
The equations x=0 is the axis of symmetry for a parabola in standard form.
Solid or Dotted Line? Open or Closed Circle?
If it has the line under it (or equal to) it will be a closed circle or solid line.
What is a quadratic equation or function?
an equation of function that has "x-squared" as its highest order exponent.
Mode
The number that shows up the MOST
define slope
the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run
Mean (Average)
Add up all the data points, then divide by however many data points there were. Ex. 3,6,9 3+6+9= 18 /3 = 6
what is the y-intercept?
the point where the graph crosses the y-axis. It has the coordinates (0, y)
When do you flip an inequality symbol?
Anytime you multiply or divide by a negative number.
words for ">"
is more than, is greater than, is larger than, shade above, shade to the right
y= and f(x)=
These are the same. They can be interchanged with one another. f(x) simply lets you know the equation is a function. Can also be written with other variables like g(x), p(x), etc.
function
special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)
How many solutions can a system with 2 equations have?
1) no solutions, if the lines are parallel and have the same slope. 2) one solution, if the lines intersect at one point. 3) infinite many solutions, if the two equations are the same and touch each other everywhere.
What is a line of best fit?
A line drawn through the points on a scatterplot to estimate the best line through the data.
words for "<"
is less than, is smaller than, shade below, shade to the left
changing the "b" in the slope-intercept form of the equation of a line changes what?
moves the line up or down the y-axis.
in y = mx + b, "m" stands for?
slope
Section 2
(15 cards)