Absolute Value
-The distance between zero and the point representing a real number on the number line
Algebraic Model
-An expression, equation or inequality that uses variables to represent a real-life situation
Angle of Depression
-When you look down at an object, the angle that your line of sight makes with a line drawn horizontally
Angle of Elevation
-When you look up at an object, the angle your line of sight makes with a line drawn horizontally
Assosiative Property
-of Addition
-The way three numbers are grouped when adding does not change the sum
-of Multiplication
-The way three numbers are grouped when multiplying does not change the product
Coefficient
-If a term of an expression consists of a number multiplied by one or more variables, the number is the coefficient of the term
Commission
-a form of payment to an agent for services rendered
Commutative Property
-of Addition
-The order in which two numbers are added does not change the sum
-of Multiplication
-The oder in which two numbers are multiplied does not change the product
Congruence
-the same shape and size, but are in different positions (for instance one may be rotated, flipped, or simply placed somewhere else).
Coordinate Plane
- The coordinate system formed by two real number lines that intersect at a right triangle
Data
-Information, facts or numbers used to describe something
Dependent
-(See output)
Direct Variation
-In a direct variation slope-intercept forn is being used but the y intercept is 0
-y=kx
-k=slope
Distributive Property
-For any real numbers a, b, and c, a(b+c) = ab + ac
Down Payment
-An initial amount paid at the time of purchase, in installment buying, time sales
Direct Variation
-A constant ratio
Edge
-The line where two faces meet on a geometric figure
Equation
-A statement formed by placing an equal sign between two expressions
Evaluate an expression
-Find the value of an expression by substituting a specific numerical value for each variable, and simplifying the result
Exponent
-In exponential notation, the number of times the base is used as a factor
Face
-The front, back, top, down, and sides of a geometric figure
Factorial
-When you have anumber with an exclamation sign after it, you have to multiply the number by all the natural numbers less than it
Formula
-An algebraic equation that relates two or more variables
Function
-A realation is a function if each input has ONE & ONLY ONE output
Function Form
-A two variable equation is written in function form if one of its variables is isolated on one side of the equation
Function Notation
-When f(x) is substituted for y. f can be any letter
f(x)
-(See output) Pronounced f of x
Identity Property
-of addition
-The sum of a number and 0 is the number
-of multiplication
-The product of a number and 1 is the number
Independent
-(See input)
Infinetly Many Solutions
-one line on top of another
Input
-A value in the domain of a function
Synonym: X, independent, domain, input
Input-output table
-A table used to describe a function by listing the outputs for several different inputs
Integers
-The numbers ...-3,-2,-1,0,1,2,3,...
Inverse Property of addition
-The sum of a number and its opposite is zero
Inverse Property of multiplication
-The product of a number and its reciprocal is one
Least Common Denominator, LCD
-The least common multiple of the denominators of two or more fractions
Line Graph
-A graph that uses line segments to connect data points
Mark-up
-to fix the selling price of an object by adding to the seller's cost an amount to cover expenses and profit
Natural numbers
-The numbers 1,2,3,4...
No Solution
-Parallel lines
Numerical expression
-An expression that represents a certain number
One Solution
-Intersecting lines
Output
-A value in the range of the function
Synonym: Y, output, dependent, f(x), range
Order of Operations
-The set of rules(PEMDAS) that is used to solve an equation
Parallel lines
-two lines that are next to eachother that never meet
Perpendicular lines
-Two lines that intersect at a 90° angle
Point slope form
- y- y¹ = m(x - x¹)
Pythagorean theorem
- a²+b²=c²
Pythagorean triples
for example the length of a right triangles sides (3,4,5) that satifys the eqution a for a list of more pythagorean triples click herehttp://coxmath.pbwiki.com/pythagorean-triples
Property of Equality
-Addition
-Any number added to one side of the equation must be added to the other side
-Substraction
-Any number substracted from one side of the equation must be substracted from the other side
-Multiplication
-Any number multiplied to one side of the equation should be multiplied to the other side
-Division
-Any number divided in one side of the equation should be divded on the other side
Range
-(See output)
Rational numbers
-Numbers that terminate or repeat
Relation
-Any set of ordered pairs
Retail
-the sale of goods to buyers, usually in small quantities
Skew lines
-Two lines that are on opposite sides of a geometric figure that never meet, but asre neither parallel or perpendicular
Slope intercept form
-A formula that shows the slope and y-intercept
-It is in the form y=mx+b
Slope point form
-The formula y-y1 = m(x – x1)
-It is used when you have the slope and one point or when you have two points
Solve a Right Triangle
-To find the measures of all of the sides and angles of a right triangle
Standard Form
-Ax+By=C
-A,B, and C are integers
-No Fractions
Symmetric Property
-If a=b then, b=a
Transitive property
-If a=b and b=c, then a=c
Trigonometric ratio
-a ratio of the lengths of two sides in a right triangle
Variable expression
-An expression that has variables
Vertex
-The point where two lines intersect on a geometric figure
Whole numbers
-all real numbers including zero
Whole Sale
-The sale of goods in quantity, as to retailers or jobbers, for resale
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