Term
What does it mean if something varies? 

Definition
Something changes, does not stay the same. 


Term

Definition
A letter that holds the place of a number that can vary. 


Term

Definition


Term
What are the two types of expressions in math? 

Definition
1) Nunmerical 2) Algebraic 


Term
What do you do with expressions? 

Definition


Term

Definition
To find the value of something. 


Term
What must you keep in mind when evaluating numberical expression? 

Definition


Term
What is the order of operations? 

Definition


Term
How do you evaluate an algebraic expression? 

Definition
Change it into a numerical expression, then evaluate. 


Term
How do you change an algebraic expression into a numerical expression? 

Definition
Write in a value for the variable. 


Term
What is the table of values? 

Definition
A table that lists numbers for the variable and the related values of the expression. 


Term
Df: SIMPLIFYING EXPRESSIONS 

Definition
Make expressions easier to understand. 


Term
Df: COMMUTATIVE PROPERTY OF ADDITION 

Definition
Changing the order of the numbers will not change the sum. 


Term
Df: ASSOCIATIVE PROPERTY OF ADDITION 

Definition
Changing the grouping of numbers will not change the sum. 


Term
What is the associative property used for? 

Definition


Term
Df: ADDITION AND SUBTRACTION PROPERTIES OF ZERO 

Definition
Any number (+)/() 0 (=) itself 


Term
Df: COMMUTATIVE PROPERTY OF MULTIPLICATION 

Definition
Changing the order of the factors will not change the product. 


Term
Df: ASSOCIATIVE PROPERTY OF MULTIPLICATION 

Definition
Changing the grouping of the factors will not change the product. 


Term
Df: MULTIPLICATION AND DIVISION PROPERTIES OF ONE 

Definition
Any number (x)/(/) 1 (=) itself 


Term
Df: ZERO PROPERTY OF MULTIPLICATION 

Definition


Term
Df: DISTRIBUTIVE PROPERTY 

Definition
Distributing a factor over an (+) or () problem will not change the product. 


Term
What are these properties used for? 

Definition


Term

Definition


Term

Definition
terms with the exact same variables raised to the same exponents. 


Term
Why do we combine like terms? 

Definition


Term
When _________, the variable exponents act as _____ for the coefficient. 

Definition
*Combining like terms *labels 


Term
Df: EQUIVALENT EXPRESSIONS 

Definition
Expressions that have the same value. 


Term
When do we write equivalent expressions? 

Definition
Whenever we simplify expressions. 


Term

Definition
A term whose value never changes. 


Term
Df: NUMERICAL COEFFICIENT 

Definition
A number that multiplies a letter. (Example 3 in 3x) 


Term

Definition
A letter being multiplied by a coefficient. (x in the term 3x) 


Term

Definition
A number sentence that uses an equal (=) sign. 


Term

Definition
The value on each side is the same. 


Term
How do exspressions relate to equations? 

Definition
An equation consists of two expressions that have the same value. 


Term
What does this explain? (+) undoes (), () undoes (+), (x) undoes (/), (/) undoes (x) 

Definition


Term
What you do to one side of an equations ___________________ What is this referring to? 

Definition
1) You must also do to the other side. 2) Properties of Equations 


Term

Definition
The value of a letter that makes the statement true. 


Term

Definition
Equations having the same roots. 


Term
What are the properties of equations used for? 

Definition
To write equivalent equations. 


Term
What are equivalent equations used for? 

Definition


Term
Why do we solve equations? 

Definition
To find the value of the variable. 


Term
An open ________ is an ______ that contains one or more variables. 

Definition
1) Number Sentence 2) Equation 


Term

Definition
A set of intended values for a variable. 


Term

Definition
The members of the replacement set which make the open sentence a true statement. 


Term
Numbers Systems that serve as replacememt sets include: 

Definition
1) Natural/Counting Numbers 2) Whole Numbers 3) Integers 4) Rational numbers 5) Irrational numbers 6) Real Numbers 


Term
What are rational numbers? 

Definition
Any number that can be written as a ratio. 


Term
What are irrational numbers? 

Definition
Number that cannot be written as a ration. 


Term

Definition
Include all number systems. 


Term

Definition
A number sentence that uses an inequality sign. (>,<,=) 


Term
Properties of Inequalities are... 

Definition
When you multiply or divide each side of an inequality by a negative, the inequality sign reverses. 


Term
Properties of Inequalities are... 

Definition
When you multiply or divide each side of an inequality by a negative, the inequality sign reverses. 


Term

Definition
The distance a value is from zero on the number line. 


Term
How many solutions does an absolute value equation have? 

Definition
Two possible solutions for the variable. 


Term

Definition
Two numbers that are used to locate a point on the coordinate plane. 


Term

Definition
The set of numbers that make up a coordinate. 


Term

Definition


Term

Definition
The set of xvalues in the relation. 


Term

Definition
The set of yvalues in the relation. 


Term
A ____ is a relationship between an action (x) and a reaction (y). 

Definition


Term
To be a function no action can... 

Definition
result in two different reactions. 


Term

Definition
A relation where no two ordered pairs have the same xvalues. 


Term
Each number in the range of a function is called a... 

Definition


Term

Definition
A way of naming functions. 


Term
In f(x), g(x), h(x) the name of each function is... 

Definition
Function F. Function G. Function H. 


Term
If the graphy of a line is rising from left to right the line in the graph is... 

Definition
a positive, increasing function. 


Term
If the graphy of a line is falling from left to right the line in the graph is... 

Definition
a negative, decreasing function. 


Term
When an equation is written in two variables, what does the solution set look like? 

Definition


Term

Definition
A function that is a straight line when graphed. 


Term

Definition
The ration of the rise to the run of a line. (rise/run) 


Term
What does the rise of a graph represent? 

Definition


Term
What does the run of a graph represent? 

Definition


Term
How do you calculate the slope of a line? 

Definition
Slope (m) is calcuated by finding the change in the yvalues of the change in the xvalues. 


Term
What is the equation of a line in slopeintercept form? 

Definition


Term
What does the b indicate in the slopeintercept equation? 

Definition


Term
What does the m indicate in the slopeintercept equation? 

Definition


Term
How can you tell if two lines are parallel? 

Definition
They will have the same slope. 


Term
How can you tell if two lines are perpendicular? 

Definition
Their slopes will be opposites and reciprocals of each other. 


Term
What is the slope of a horizontal line? 

Definition


Term
What is the slope of a vertical line? 

Definition


Term

Definition
Two or more equations that relate to each other in some way. 


Term
What is the solution to a system of equations? 

Definition
An ordered pair that both euqation have in common. 


Term
What methods can be used to find the solution to a system of equations? 

Definition
The solution can be found using either the graphing, substitution, or addition methods. 


Term
If the lines do not interesect what is the solution to the system? 

Definition
TRICK QUESTION! There is no solution to the system. 


Term

Definition
A function whose equation is of the form y = kx 


Term
How can you determine if a relation is a direct variation? 

Definition
If y divided by x equals the same constant, then y varies directly as x. 


Term

Definition
A function whose equation is of the form xy = k 


Term
How can you determine if a relation is an inverse variation? 

Definition
If x times y equals the same constant, then y varies inversely as x. 


Term
In inverse variation, as the x value increases, the y value ______. 

Definition


Term

Definition
An expression with many terms. 

