#### Study sets matching "algebra chapter 2"

#### Study sets matching "algebra chapter 2"

Additive Identity

Additive Inverse (Prop of Opposites)

Associative Prop. (+ or x)

Closure Property

Add 0 to get same number ~ a + 0 = 0

# plus its opposite = 0 ~ a + -a = 0

when + or * 3 or more numbers can change the groupings... a + (b…

add or multiply 2 real #s you get only 1 answer & it is a... rea…

Additive Identity

Add 0 to get same number ~ a + 0 = 0

Additive Inverse (Prop of Opposites)

# plus its opposite = 0 ~ a + -a = 0

Consecutive Integers

Dimensional Analysis

Equivalent Equations

Extremes

Integers in counting order, such as 4, 5, 6

the process of carrying units throughout a computation

equations that have the same solution

in a proportion, the numerator of the first fraction and the…

Consecutive Integers

Integers in counting order, such as 4, 5, 6

Dimensional Analysis

the process of carrying units throughout a computation

Solution

inverse opperations

solve

vertical angles

Answer that makes the equation true

opperations that undo each other

isolate the variable

2 angles formed by intersecting lines, they are congruent

Solution

Answer that makes the equation true

inverse opperations

opperations that undo each other

Solution

Inverse operations

Solve

Vertical angles

Answer that makes the equation true

Operations that "undo" each other

Isolate the variable

2 angles formed by intersecting lines; across from each other…

Solution

Answer that makes the equation true

Inverse operations

Operations that "undo" each other

Solution

Inverse Operations

Solve

Vertical Anlges

Answer that makes the equation true

Operations that "undo" each other

Isolate the variable

2 angles formed by intersecting lines; across from each other…

Solution

Answer that makes the equation true

Inverse Operations

Operations that "undo" each other

Relation

Domain

Range

Function

A set of ordered pairs.

The domain of a relation is the set of all inputs, or x-coord…

The range of a relation is the set of all outputs or y-coordi…

A relation in which each element of the domain corresponds wi…

Relation

A set of ordered pairs.

Domain

The domain of a relation is the set of all inputs, or x-coord…

Set builder notation

Equation

Intersection

Empty set

Expresses the solutiom set of an inequality

A mathematical sentence stating that 2 mathematical expressio…

The graph of a compound inequality containing "and"

When an equation has no solution

Set builder notation

Expresses the solutiom set of an inequality

Equation

A mathematical sentence stating that 2 mathematical expressio…

Inequality

Graph of an inequality

Equivalent inequality

Solution set

A mathematical sentence that compares expressions.

Shows the solution set of the inequality on a number line.

Inequalities that have the same solution.

The set of all solutions of an inequality

Inequality

A mathematical sentence that compares expressions.

Graph of an inequality

Shows the solution set of the inequality on a number line.

Integers

Variable

Order of operations

Parachute expert my dear Aunt Sally

The positive and negative whole numbers and zero

A symbol for a number we don't know yet.

a collection of rules that define which procedures to perform…

Parentheses, exponents multiplication, division, addition, an…

Integers

The positive and negative whole numbers and zero

Variable

A symbol for a number we don't know yet.

consecutive integers

formula

number theory

identities

two or more integers in counting order, such as 4,5, and 6

a rule that states the relationship between two or more quant…

the study of numbers and the relationships between them

equations that are true for all values of the variable

consecutive integers

two or more integers in counting order, such as 4,5, and 6

formula

a rule that states the relationship between two or more quant…

proportion

cross products

cross products property

equivalent equations

an equation that states that two ratios are equal

products that are diagonal from each other in a proportion

the property that allows you to cross-multiply

equations with same solutions

proportion

an equation that states that two ratios are equal

cross products

products that are diagonal from each other in a proportion

Equivalent Equations

Isolate

Inverse Operation

Literal Equation

Equations with the same solutions.

Get variable with coefficient of 1 .

An operation the undo another

An equation with two or more variables

Equivalent Equations

Equations with the same solutions.

Isolate

Get variable with coefficient of 1 .

Real Numbers

Real Number Line

Origin

Negative Numbers

Numbers that can be pictured as points on a horizontal line.

A horizontal line that displays real numbers.

The point labeled as zero.

The points to the left of zero.

Real Numbers

Numbers that can be pictured as points on a horizontal line.

Real Number Line

A horizontal line that displays real numbers.

quadratic function

parabola

vertex

vertex form

a function that can be written in the form f(x)=ax2+bx+c, whe…

the shape of the graph of a quadratic function. also, the set…

the highest or lowest point on the parabola

a quadratic function written in the form f(x)=a(x-h)2+k, wher…

quadratic function

a function that can be written in the form f(x)=ax2+bx+c, whe…

parabola

the shape of the graph of a quadratic function. also, the set…

conversion factor

markup

percent change

proportion

a ratio of 2 equivalent measures in different units

an amount of $ added to the original price

the ratio of the amount of change to the original amount expr…

an equation that states that 2 rations are =

conversion factor

a ratio of 2 equivalent measures in different units

markup

an amount of $ added to the original price

Solution

Inverse operations

Solve

Vertical angles

Answer that makes an equation true

Operations that "undo" each other

Isolate the variable

2 angles formed by intersecting lines; across from each other…

Solution

Answer that makes an equation true

Inverse operations

Operations that "undo" each other

Additional Property of Equality

Conversion Factor

Cross Product

Cross Product Property

Adding the same number to each side of an equation produces a…

A ratio of 2 equivalent measures in different units

Multiplying across the proportion

The cross products of a proportion are equal

Additional Property of Equality

Adding the same number to each side of an equation produces a…

Conversion Factor

A ratio of 2 equivalent measures in different units

variable

terms

constant

coefficiemt

a letter that represents a number

part of an expression separated by a + or - sing

numbers, or quantities, that do not change

a number that multiplies a variable

variable

a letter that represents a number

terms

part of an expression separated by a + or - sing

Discrete

Continuous

Vertical line test

Independent variable

Points that are not connected

Points that are connected with a line or curve

Test to see if the relation is a function

X value / domain

Discrete

Points that are not connected

Continuous

Points that are connected with a line or curve

real numbers

real number line

origin

negative numbers

the set of numbers consisting of the positive numbers, negati…

a line that pictures real numbers as pints

the point labeled zero of a number line

any of the numbers less than zero

real numbers

the set of numbers consisting of the positive numbers, negati…

real number line

a line that pictures real numbers as pints

formula

percent of change

percent of decrease

percent of increase

an equation that states a rule for the relationship between c…

when an increase or decrease is expressed as a percent

the ratio of an amount of decrease to the previous amount

the ratio of an amount of increase to the previous amount

formula

an equation that states a rule for the relationship between c…

percent of change

when an increase or decrease is expressed as a percent

equation

solution of an equation

identity

formula

mathematical statement that two expressions are equivalent

a value of the variable that makes the equation true

equation that is true for all values of the variables

literal equation that states a rule for a relationship among…

equation

mathematical statement that two expressions are equivalent

solution of an equation

a value of the variable that makes the equation true

Relation

Domain

Range

Function

Set of pairs of input and output values

Set of all input values (X coordinate)

Set of all output values (y-coordinates)

A relation in which each element of the domain corresponds wi…

Relation

Set of pairs of input and output values

Domain

Set of all input values (X coordinate)

no

variable

constant

algebraic expression

Is pi a variable?

symbol (including lower case or upper case letters) used to r…

fixed number

math expression containing numbers, variables and operation s…

no

Is pi a variable?

variable

symbol (including lower case or upper case letters) used to r…

Equation

Solution

Solving Equations

Property of Equality of Addition

Mathematical statement that 2 expressions are equal

Value of a variable that makes the equation true

Isolate the variable, using property of equality

If a=b then a+c=b+c

Equation

Mathematical statement that 2 expressions are equal

Solution

Value of a variable that makes the equation true

Diagonal Matrix

Matrix Addition

Addition Properties

When multiplying a matrix by a constant,

square nxn matrix with nonzero diagonal entries and zeros in…

add corresponding entries, matrices must be same size

a) A+B = B+A... b) (A+B)+C = A+(B+C)... c) A+0 = A... d) r(A+B) = rA+r…

all entries are multiplied by the constant

Diagonal Matrix

square nxn matrix with nonzero diagonal entries and zeros in…

Matrix Addition

add corresponding entries, matrices must be same size

Equivalent Equation

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Equations that have the solution

If a = b, then a +c = b + c

If a = b, then a - c = b - c

If a = b, then a

**c = b**cEquivalent Equation

Equations that have the solution

Addition Property of Equality

If a = b, then a +c = b + c

negative number

opposites

positive number

quadrant

a number less than zero

two numbers with the same absolute value but different signs

any number greater than zero

one of the 4 regions into

negative number

a number less than zero

opposites

two numbers with the same absolute value but different signs

Compound inequality

Inequality

Intersection

Solution of the inequality

Two inequalities that are combined into one statement by the…

A statement that compares two expressions by using one of the…

The overlapping region

Any value of the variable that makes the inequality true.

Compound inequality

Two inequalities that are combined into one statement by the…

Inequality

A statement that compares two expressions by using one of the…

consecutive integers

equivalent equations

identity

inverse operations

integers that differ by one (for example: 4, 5, 6, 7, 8, etc.)

equations that have the same solution

an equation that is true for every value

operations that undo one another

consecutive integers

integers that differ by one (for example: 4, 5, 6, 7, 8, etc.)

equivalent equations

equations that have the same solution

Variable

Constant

Term

Coefficient

A letter used to represent a number... Ex : x = 3

A number that is fixed .... Ex : 2 , 4 , 1/2

a number, a variable, or the product of a number and one or m…

A number multiplied by a variable , but not the variable itself

Variable

A letter used to represent a number... Ex : x = 3

Constant

A number that is fixed .... Ex : 2 , 4 , 1/2

The property which says that grouping…

The property which states that it does…

Integers in counting order

a(x+y)=ax+ay

The distance a number is from zero on the number line (always…

A function whose equation contains absolute value Symbols-it'…

If a<b then a+c<b+c

The number zero-property states that adding zero does not cha…

The property which says that grouping…

The distance a number is from zero on the number line (always…

The property which states that it does…

A function whose equation contains absolute value Symbols-it'…

Whole Number

Integer

Rational Number

Opposites

the numbers 0,1,2,3...

the numbers -3,-2,-1,0,1,2,3... consisting of negative and po…

a number that can be written as a/b, where a and b are intege…

two numbers that are the same distance from 0 on a number lin…

Whole Number

the numbers 0,1,2,3...

Integer

the numbers -3,-2,-1,0,1,2,3... consisting of negative and po…

Mathematical expressions

numerical expression

algebraic expression

variable

A numerical or algebraic expression containing mathematical s…

contains numerals and indicates at least one mathematics oper…

contains one or more variables and mathematics operations. It…

a symbol usually a letter used to represent a number

Mathematical expressions

A numerical or algebraic expression containing mathematical s…

numerical expression

contains numerals and indicates at least one mathematics oper…

constant

like terms

terms

coefficent

the term that has a number but no variable part

terms that have the same variable parts

the parts of an expression that are added together

the numbers part of a term with a variable part

constant

the term that has a number but no variable part

like terms

terms that have the same variable parts

one-to-one function

onto function

discrete relation

continous relation

each element of the domain pairs to exactly one unique elemen…

each element of the range corresponds to an element in the do…

a relation in which the domain is a set of individual points

the domain of a relation has an infinite number of elements a…

one-to-one function

each element of the domain pairs to exactly one unique elemen…

onto function

each element of the range corresponds to an element in the do…

consecutive Integers

dimensional analysis

equivalent equations

extremes

Integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.

The process of carrying units throughout a computation.

Equations that have the same solution.

The first and last terms of the proportion.

consecutive Integers

Integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.

dimensional analysis

The process of carrying units throughout a computation.

Formula

Equivelant Equations

Subtraction Property of Equality

Multiplication Property of Equality

A rule for the relationship between certain quantities

Have the same solution

If a = b, then a - c = b - c

If a = b, then ac = bc

Formula

A rule for the relationship between certain quantities

Equivelant Equations

Have the same solution

real numbers

real number line

negative numbers

positive number

positive numbers, negative numbers, and zero

real numbers as points on a number line

number less than zero

numbers greater than zero

real numbers

positive numbers, negative numbers, and zero

real number line

real numbers as points on a number line