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Graphing
Definitions of different expressions
Properties
Systems
Forms and other
100
The line on a graph that runs horizontally (left-right) through zero
x-axis
100
An expression that contains at least one variable
Algebraic Expression
100
A law that is followed in mathematics
Property
100
A system of equations that has at least one solution
Consistent System
100
AX + BY = C where A, B and C are constants, there are no fractions and A must be positive
Standard Form of an Equation
200
The line on a graph that runs vertically (up-down) through zero.
y-axis
200
Expressions that are equal to each other
Equivalent Expressions
200
For any numbers a, b and c: a + b + c = a + c+ b and abc = cba
Commutative Property
200
A system of equations that has no solution
Inconsistent System
200
A line with slope m and y-intercept b has an equation y=mx+b
Slope-Intercept Form
300
Where the graph crosses the x-axis
x-intercept
300
An expression that represents a particular number
Numerical Expression
300
Any number multiplied by one is that number
Multiplicative Identity Property
300
A system of equations that has exactly one solution
Independent System
300
Is where the only common factor of a numerator and denominator is 1
Simplest Form
400
Where the line of crosses the y-axis it is called _______
y-intercept
400
A collection of terms that has one term that contains a variable to the second power
Quadratic Expression
400
For any numbers a, b, and c: (a + b) + c = a + (b + c) and (ab)c = a(bc)
Associative Property
400
A system of equations that has infinitely many solutions
Dependent System
400
Rewriting a polynomial as the product of two or more factors
Factored Form
500
True/False: the formula to find the slope since the x and y points are only shown is m=(Y1-Y2)/(X1-X2)
True
500
To replace with an equivalent expression having as few terms as possible
Simplified Expression
500
For any real numbers a, b, and c, a(b + c) = ab + ac
Distributive Property
500
a collection of two or more equations with a same set of unknowns.
System of equations
500
If x is the independent variable and y is the dependent variable, then for y is f(x), read "f of x", where f names the function
Function Notation