Negative Slope: A slope slanting downward to the left
Positive Slope: A slope slanting upward to the right
0 Slope: A flat slope
Undefined Slope: A strait up and down line
Definition of Slope
The steepness of the slant of the line
Ratio
A number over a number
Determine the Slope of a Line from a Graph or 2 Points
The ‘y’ value over the ‘x’ value
Formula
To find the slope of 2 points without a graph but just coordinates, the formula is ‘y2 – y1’divided by ‘x2 – x1’ equals the slope of the coordinates
Lines Horizontal/Vertical
Horizontal means flat or side-to-side, vertical means up and/or down
Vertical Line Test
You make a line through a slope of a graph to see is it has more than 1 output
Independent and Dependent Variables
:An independent variable is the ‘x’ value; A dependent variable is the ‘y’ value
Domain of Continuous Functions
Thedomain of a continuous function is the ‘x’ value of a continuous function graph
Range of Continuous Functions
The range of continuous functions is the ‘y’ value of a continuous function graph
Discrete and Continuous Data
Discrete data is single points of a graph, counting basically; Continuous data is a line that includes everything in between points and is basically measuring
Guess and Check
Make an educated guess then input your educated guess in the problem and check theproblem with your guess
The Undoing Method
A flow chart to visualize the variable and the problem better
Balancing Method
Shows what properties you used to solve the equation
Variable on Both Sides
This is when the variable is on both sides of the equals sign and you need totransfer it to only 1 side, you just need to do what you would do to regular,non-variable, numbers
No Solution/Infinitely Many Solutions
Self-Explanatory
Flipping the Symbol
When multiplying or dividing by a negative number you flip the sign
Transitive Property
: If one number equals a second number and the second number equals and a third number, the first number equals the third number A = B, B = C, A = C
Symmetric Property
: One variable equals another variable and the second variable equals the first variable A = B, B = A
Reflexive Property
A number equals itself A = A
Distributive Property
One number outside a parenthesis multiplies by all the numbers in the parenthesis A (B + C) = A (B) + (C)
Multiplicative Property
A number times 1 over that number equals 1A x 1/A = 1 – Can be used with
multiplication
Additive Property
A number plus its opposite equals 0 A + (-A) = 0 – Can be used with addition
Identity Property
Same as the Commutative Property but says a number plus 0 equals the number A + 0 = 0 + A – Can be used with multiplication and addition
Commutative Property
Same numbers on both sides of the equals sign; and in the same order away from the equals sign A + B = B + A – Can be used with multiplication and addition
Associative Property
All the same numbers on both sides of the equals sign; not in the same order, away from the equals sign, as the other side B + A + C = A + B + C – Can be used with multiplication and addition
Natural Numbers
Numbers,1+, not including decimals
Whole Numbers
Numbers0+, not including decimals
Integer
Positive and negative numbers, not including decimals
Rational Numbers
All numbers with a pattern and that can be written as a ratio.
Irrational
Cannot be written as a ratio and does not have a pattern.