Relations and Functions notes
Graphing Relations
Relation
o
Set of pairs of input and output values
You can write a relation as a set of ordered pairs
Domain
o
Set of all inputs, or x-coordinates, or
Probability notes
Experimental Probability
Probability measures how likely to occur an event is
You can express probabilities as percents or as real numbers
The probability of an impossible event is 0
Linear Systems notes
Graphing Systems of Equations
System of Equations
o
Linear System
o
A system that has a unique solution
Dependent System
o
If the graph of each equation in a system of two
variabl
Algebraic Expressions notes
Evaluating Algebraic Expressions
Variable
o
o
Symbol that represents one or more numbers
Usually a number
Algebraic Expression
o
Variable Expression
o
An expression that co
Linear Equations notes
Graphing Linear Equations
Linear function
o
A function whose graph is a line
Linear Equation
o
Used to represent a linear function
o
Example:
o
Y=3x+2
A solution of a linear equ
Pi notes
The number pi
The ratio of the circumference of a circle to its diameter
History
Archimedes
o
o
Considered to perimeters of inscribed and circumscribed
regular polygons of 96 sides
o
287-212
Solving Inequalities notes
Solving and Graphing Inequalities
As with an equation, the solutions of an inequality are the numbers
that make it true
An equation such as -2x=10 has only one solution, -5
Subsets of Real Numbers notes
Subsets of Real Numbers
Algebra deals with operations and relations among numbers,
including real numbers and imaginary numbers
Subsets of Real Numbers
o
Natural Numbers
Solving Equations
Solving Equations
An equation that contains a variable may be true for some
replacements of the variable and false for others
Solution of the Equation
o
A number that makes the equat
Absolute Value Equations and Inequalities notes
Absolute Value Equations
Absolute Value
o
A number is its distance from zero on the number line and
distance is nonnegative
an absolute value equation s