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Algebra Class Vocabulary

Page history last edited by Erika Rosales 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

-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( 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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