# Study sets matching "alg2 1 properties"

Study sets

Diagrams

Classes

Users

Real Number

Rational Number

Irrational Number

Natural Number

All numbers used in everyday life; the set of all rational and…

Any number m/n, where m and n are integers and n is not zero;…

A real number that is not rational; the decimal form neither t…

A "counting" number: 1, 2, 3, 4, 5 . . .; symbolized by "N"

Real Number

All numbers used in everyday life; the set of all rational and…

Rational Number

Any number m/n, where m and n are integers and n is not zero;…

set

subset

endpoints

bounded interval

A collection of objects

When all the members of a set are also members of another set

The points where an interval is bounded on a number line

An interval that has a finite length

set

A collection of objects

subset

When all the members of a set are also members of another set

absolute value function

parent function

transformation

translation

A function that contains an absolute value expression

The most basic function in afamily of functions

A change in the size, shape, position, or orientation of a gra…

A transformation that shifts a graph horizontally and/or verti…

absolute value function

A function that contains an absolute value expression

parent function

The most basic function in afamily of functions

additive identity property

multiplicative identity

additive inverse

multiplicative inverse

the sum of a number and 0, and the property, is the original n…

the product of a number, and the property, is the original num…

the sum of the number and it's opposite is 0

the product of a nonzero number and its reciprocal is 1

additive identity property

the sum of a number and 0, and the property, is the original n…

multiplicative identity

the product of a number, and the property, is the original num…

commutative of addition/multiplication

associative of multiplication/ addition

identity of addition

inverse of addition

multiply or add in any order you want and get the same result.…

may group or regroup terms and factors and get the same result…

any number plus 0 equals itself. a+0=a

any number plus it's opposite yields 0. a+(-a)= 0

commutative of addition/multiplication

multiply or add in any order you want and get the same result.…

associative of multiplication/ addition

may group or regroup terms and factors and get the same result…

Commutative

Associative

Distributive

Reflexive

"order"... Ex:... 2+3=3+2

"grouping"... Ex:... 2+(x+3)=(2+x)+3

"can't touch this"... Ex:... 5(x+2)=5x+10

"mirror" - What you see is what you get... Ex:... 5=5

Commutative

"order"... Ex:... 2+3=3+2

Associative

"grouping"... Ex:... 2+(x+3)=(2+x)+3

Minimum

Maximum

Vertex

Axis of Symmetry

The lowest point of the parabola y=ax^2 + bx + c when a>0.

The highest point of the parabola y=ax^2 + bx + c when a<0.

The highest or lowest point of a parabola.

A vertical line that divides a plane figure or a graph into tw…

Minimum

The lowest point of the parabola y=ax^2 + bx + c when a>0.

Maximum

The highest point of the parabola y=ax^2 + bx + c when a<0.

Substitution Property

Additive Property

Additive Inverse

Multiplicative Identity

A quantity may be substituted for its equal expression

The sum of a number and 0 will always be that number

The sum of a number and its opposite will always be zero

The product of a number and 1 will always be that number

Substitution Property

A quantity may be substituted for its equal expression

Additive Property

The sum of a number and 0 will always be that number

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

change order

change order

change group

change group

Commutative Property of Addition

change order

Commutative Property of Multiplication

change order

Product of Powers Property

Power of a Power Property

Exponential Expression

Power of a Product Property

A power multiplied by another power with the same base is equa…

A power raised to another power is equal to the base raised to…

an expression that contains at least one term containing an ex…

To find a power of a product, find the power of each factor an…

Product of Powers Property

A power multiplied by another power with the same base is equa…

Power of a Power Property

A power raised to another power is equal to the base raised to…

First difference

Solution

Intersection point

Solution of an inequality

determined by calculating the difference between successive po…

any value that makes an equation true

an ordered pair that satisfies both functions

any value that makes the inequality true

First difference

determined by calculating the difference between successive po…

Solution

any value that makes an equation true

solution set

coordinate system

Elimination Method

Substitution Method

point (x,y) that solves the system

(x,y): values that can be graphed

solving for one variable by cancelling (eliminating) another v…

solving for 1 variable then substituting its' value in to the…

solution set

point (x,y) that solves the system

coordinate system

(x,y): values that can be graphed

Reflexive Property

Symmetric Property

Transitive property

Substitution

Same on both sides, EX: 9=9

Flip flop, EX:if 8+4=12 then 12=8+4

Long one, 3 equal signs, EX: if 2+4=5+1 and 5+1=6 then 2+4=6

If a=b then a can replace b in any equation, EX: If n=2 then 5…

Reflexive Property

Same on both sides, EX: 9=9

Symmetric Property

Flip flop, EX:if 8+4=12 then 12=8+4