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# Algebra Class Vocabulary

last edited by 12 years, 4 months ago

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

-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

-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

-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,...

-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

-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( 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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