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• ### Compound Inequality

A pair of inequalities combined by the words and or or

### Correlation Coefficient

A number represented by the variable r, where -1≤r≤1, that describes how closely points in a scatter plot cluster around the least-squares line

### Direct Variation

The equation y=kx describes a direct variation, where y varies directly as x, k is the constant of variation, and k≠0

### Literal Equation

An equation that contains two or more variables

### Simplified Expression/Function

An expression/function that has had all like terms combined and all the parentheses have been removed

y=mx+b

### Standard Form

Ax+By=C, where A and B are not both 0

### X-Intercept

The x-coordinate of the point where the graph crosses the x-axis

### Y-Intercept

The y-coordinate of the point where the graph of a line crosses the y-axis

### Dependent Variable

The output of a function

### Independent Variable

The input of a function

### Domain

The set of possible values for the first coordinate of a function

### Range

The set of possible values for the second coordinate of a function

### Rational Numbers

Numbers that can be expressed as the quotient of two integers, where the denominator is not equal to zero

### Irrational Numbers

Numbers whose decimal part does not terminate or repeat

### Relation

Any set of ordered pairs

### Function

A relation in which, for each first coordinate, there is exactly one corresponding second coordinate

### Vertical-Line Test

If a vertical line crosses the graph of a relation in more than one point, the relation is not a function

### Consistent System

A system of equations or inequalities that has at least one solution

### Inconsistent System

A system of equations or inequalities that has no solution

### System of Equations

A set of equations in the same variables

### Commutative

changes order, but the statement remains the same

### Associative

changes the grouping of parentheses, but the numbers do not move

### Identity

Adding a 0, and multiplying by 1 - it does nothing

equals 0

### Distributive

2(4x-3) = 8x - 6

### element

a value in a set or matrix; also called an entry.

### empty set

a set with no elements.

### finite set

a set with a definite, or finite, number of elements.

### infinite set

a set with an unlimited, or infinite, number of elements.

### interval notation

a way of writing the set of all real numbers between two endpoints. The symbols [ and ] are used to include an endpoint in an interval, and the symbols ( and ) are used to exclude an endpoint from an interval.

### principal root

the positive square root of a number, indicated by the radical sign.

the symbol used to denote a root

a number or expression under a radical sign

### Rationalizing the denominator

Rationalizing the denominator is a method of rewriting a fraction by multiplying by another fraction that is equivalent to 1 in order to remove radical terms from the denominator.

### opposite

additive inverse; the ______ of any number "b" is "−b"

### reciprocal

multiplicative inverse; the _______ of any nonzero number "b" is "1/b"

### formula

an equation that relates two or more quantities, usually represented by variables

### like term

terms that have the same variable parts; also called constant terms

### identity

a statement that equates two equivalent expressions

### variable

a letter that is used to represent one or more numbers

### extraneous solution

an apparent solution that must be rejected because it does not satisfy the original equation

### absolute value

the __________ of a number "x", represented by the symbol "l x l", is the distance the number is from 0 on a number line

### algebraic expression

an expression that consists of numbers, variables, operations, and grouping symbols; also called variable expression

### power

an expression that represents repeated multiplication of the same factor

### natural numbers

{1,2,3...}(counting numbers)

{0,1,2,3...}

### integers

{-3,-2,-1,0,1,2,3...}

### rational numbers

numbers such as 5/3, 7/9, that result when an integer is divided by a non zero integer

### irrational numbers

numbers such as √12, √52 (non-repeating, not rational)

### coordinate

a real number paired with a point on the number line

### graph

a point on a number line that is paired with a real number

### origin

the graph of 0

<

>

### absolute value

The distance a number is from zero on a number line. ALWAYS POSITIVE

### numeral expression

a symbol or group of symbols used to represent a number

### numeral

a simplified version of a numeral expression (a number)

### value of a numeral expression

12 is the value of 3x4

### equation

A sentence formed by placing a "=" between two expressions (called the sides of of the equation) it is true if both sides have the same value

### inequality symbol

one of the symbols less than (<), greater than (>), less than or equal to ( <= ) or greater than or equal to ( >= )

### inequality

A sentence formed by placing an inequality symbol between the two expressions

### sum

the result of adding numbers, called the terms
21 is the sum of 6+15

### terms

6 and 15 are the terms of 6+15=21

### difference

the result of subtracting one number from another
2 is the difference of 8-2

### product

the result of multiplying numbers, called factors
3 and 5 are the factors of the product 15 in 3 x 5 = 15

### quotient

the result of dividing one number by the other
7 is the quoteint of 35/5= 7

### power

product of of equal factors first power = 3^1,
second power = 3^2

### base

the repetitive factor
3 is the base of 3^4

### exponent

tells the number of times the base is a factor
(the little number on the top)

### Grouping symbols

( ) [ ] or ---- (division bar)

### simplify

replace it with its most simplest symbol having the same value
1) substitution can be used
2) order of operations can be used (grouping symbols, exponents and roots, x/, +-

### variable

a symbol used to represent a number (a, x, y)

### domain/replacement set

the set that the variable belongs to (whole, natural rational sets...)

### values of a variable

what the variable could symbolize

### algebraic expression

a numerical expression, a variable, sum, difference, product, quotient that contains one or more variables

### evaluation an expression/finding the value of

the process of replacing each variable in an expression by a value and simplifying it

### field

a set of numbers (real numbers a types of field)

### unique field number

only that number has the properties

-a is the opposite/additive inverse of a

### reciprocal/multiplicative inverse

the value a number can by multiplied by to get to 1
the reciprocal of A would by 1/A

### equivalent

equal for every value of each variable they contain

### similar terms/like terms

terms that contain the same variable factors

### open sentence

an equation or inequality that contains a variable such as
2t - 1=5

### solution/root

any value of the variable that makes an open sentence true

### solution set

the set of all solutions of an open sentence

### equivalent equations

equations that have the same solution set

### solve an equation

to change/transform it into a simple equivalent equation

### empty/null set

a solution set with no members

### identity

an equation that is satisfied by all values of the variable
6s-9=6s-9

### formula

an equation that states a relationship between 2 or more variables
h= -16t^2+vt

### constant

the fixed numbers in an equation or formula

### Reciprocal

Multiplicative inverse of a non zero number

### Power

Repeated times of the same number or factor

### Exponent

The number of times the base is multiplied

### Base

Number or factor that's being exponent times

### Variable

A letter that is used to represent a number or numbers

### Term

Expression with a variable

### Constant Term

Term with a variable

### Coefficient

Number in front of a variable

### Like Terms

Same variable, same exponent

### Equivalent Expressions

Two expressions that equal each other

### Formula

An equation that relates two or more quantities. Has an equal sign

### Compound Inequality

Two inequalities joined by and "or" or

### Absolute Value

Distance from zero

### Extraneous Solution

A solution that doesn't satisfy the original equation

### Relation

Pairing of inputs and outputs

### Domain

Everything X can be

### Range

Everything Y can be

### Function

Every input has exactly 1 output

X

Y

### Linear Function

Constant rate of change and each input has exactly 1 output

f(x)=

### Slope, Rate of Change

rise over run

same slope

### Perpendicular

negative reciprocal slope

### Parent Function

Most basic function shared in a family

Y=mx+b

### Standard Form

Ax+By=C, no fraction, no negative x value

### Point-Slope Form

Y2-Y1=m(x2-x1)

### Direct Variation

Y=Kx, linear, always goes through (0,0)

### Positive Correlation

Positive slope on a scatter plot

### Negative Correlation

Negative slope on a scatter plot

### Correlation Coefficient

numerical value between -1 and 1. Tells strength of relationship of two variables

### Best Fitting Line

A line closest to all data points

F(x)=|x|

### Vertex

Highest or lowest point on a graph, written as an ordered pair

### Transformation

Changes graphs shape, size or position

### Translation

Shift left or right, up or down on a graph

### Reflection

Flip over X or Y axis

### Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbers.

### Whole Numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

### Integers

Natural numbers,their opposites, and zero..-2,-1,0,1,2..Etc

### Rational Numbers

All numbers that can be written as quotients of integers.

### Irrational Numbers

Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating. Also not perfect squares.

### Variable

Letter that represents a number

### PEMDAS

Order of operations

### Term

A Variable,a number or the product of those

### Coefficient

A Numerical factor of a term

### Compound Inequality

A pair of inequalities joined by "and" or "or"

### Extraneous Solution

A solution of an equation derived from an original equation that is not a solution of the original solution

### Inverse Property

a + (-a) = 0
a times 1/a = 1

### Identity Property

a + 0=a
a times 1 = a
0 + a = a
1 times a = a

a+b=b+a
ab=ba

### Associative Property

(a+b)+c=a+(b+c)
(ab)c=a(bc)

a(b+c)=ab=ac

### direct variation

linear function where y-intercept is 0
-y=mx
-m is a constant of variation(use k rather than m)
-y varies directly as x
-y/x=k