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Negative Slope
Positive Slope
0 Slope
Undefined Slope
- 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
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Definition of Slope
The steepness of the slant of the line
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Ratio
A number over a number
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Determine the Slope of a Line from a Graph or 2 Points
The ‘y’ value over the ‘x’ value
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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
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Lines Horizontal/Vertical
Horizontal means flat or side-to-side, vertical means up and/or down
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Vertical Line Test
You make a line through a slope of a graph to see is it has more than 1 output
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Independent and Dependent Variables
:An independent variable is the ‘x’ value; A dependent variable is the ‘y’ value
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Domain of Continuous Functions
Thedomain of a continuous function is the ‘x’ value of a continuous function graph
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Range of Continuous Functions
The range of continuous functions is the ‘y’ value of a continuous function graph
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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
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Guess and Check
Make an educated guess then input your educated guess in the problem and check theproblem with your guess
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The Undoing Method
A flow chart to visualize the variable and the problem better
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Balancing Method
Shows what properties you used to solve the equation
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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
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No Solution/Infinitely Many Solutions
Self-Explanatory
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Flipping the Symbol
When multiplying or dividing by a negative number you flip the sign
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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
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Symmetric Property
: One variable equals another variable and the second variable equals the first variable A = B, B = A
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Reflexive Property
A number equals itself A = A
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Distributive Property
One number outside a parenthesis multiplies by all the numbers in the parenthesis A (B + C) = A (B) + (C)
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Multiplicative Property
- A number times 1 over that number equals 1A x 1/A = 1 – Can be used with
- multiplication
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Additive Property
A number plus its opposite equals 0 A + (-A) = 0 – Can be used with addition
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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
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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
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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
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Natural Numbers
Numbers,1+, not including decimals
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Whole Numbers
Numbers0+, not including decimals
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Integer
Positive and negative numbers, not including decimals
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Rational Numbers
All numbers with a pattern and that can be written as a ratio.
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Irrational
- Cannot be written as a ratio and does not have a pattern.
- Ex: Pi and square root of 2
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