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

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

COMPRESS

DILATION

DOMAIN

EVEN FUNCTION

A term used informally to describe the relationship of a grap…

A transformation which vertically compresses or stretches the…

The set of all input values for a relation or function.

A function where f(−x) = f(x) for all values of x defined for…

COMPRESS

A term used informally to describe the relationship of a grap…

DILATION

A transformation which vertically compresses or stretches the…

Consecutive Integers

Dimensional Analysis

Equivalent Equations

Extremes

Integers in counting order

The process of carrying units throughout a computation

Equations that have the same solution

The outer terms of the proportion

Consecutive Integers

Integers in counting order

Dimensional Analysis

The process of carrying units throughout a computation

conversion factor

cross products

formula

inverse operations

a ratio of equivalent measurements used to convert a quantity…

the product of numbers on the diagonal when comparing two rat…

a mathematical relationship or rule expressed in symbols. [p.…

two of the order of operations that undo each other. [p. 88]

conversion factor

a ratio of equivalent measurements used to convert a quantity…

cross products

the product of numbers on the diagonal when comparing two rat…

Formula

Equivalent Equations

Equation

Addition Property of Equality

A rule for the relationship between certain quantities.

Have the same solution.

A mathematical sentence that contains an equal sign.

For any real numbers a, b, and c, if a=b, then a+c=b+c

Formula

A rule for the relationship between certain quantities.

Equivalent Equations

Have the same solution.

x = 12/5

x = 2.1

x = -10

x = 38.1

The sum of five times a number x and three is the same as fif…

Solve for x. ... 3.8 = x+1.7

Solve for x. ... 2/5x = -4

Solve for x... x/3 - 9.2 = 3.5

x = 12/5

The sum of five times a number x and three is the same as fif…

x = 2.1

Solve for x. ... 3.8 = x+1.7

conversion factor

cross products

equivalent equations

inverse operations

a ratio of two equivalent measures in different units

the product of the diagonal when comparing two ratios

equations that have the same solution

operations that undo each other

conversion factor

a ratio of two equivalent measures in different units

cross products

the product of the diagonal when comparing two ratios

absolute value function

axis of symmetry

direct variation

domain

a V-shaped function written in the form of

**y = |x|**.a line that divides a graph into two congruent reflected halv…

a linear function defined by an equation of the form y=kx, wh…

all possible x-coordinate values.

absolute value function

a V-shaped function written in the form of

**y = |x|**.axis of symmetry

a line that divides a graph into two congruent reflected halv…

Equivalent equations

Addition property of equality

Subtraction property of equality

Isolate

Equations that have the same solution.

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

Subtracting the same number from each side of an equation pro…

Using properties of equality and inverse operations to get a…

Equivalent equations

Equations that have the same solution.

Addition property of equality

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

Order of Operations

variable

terms

constants

rules that tell which operation to do first

a letter that represents a number

parts of an expression separated by a + or a - sign

numbers, or qualities, that do not change

Order of Operations

rules that tell which operation to do first

variable

a letter that represents a number

correlation

direct variation

domain

function

a measure of the relationship between two variables. (p. 92)

an equation of the form y=kx, where k does not equal 0. (p. 68)

the input set of a function. (p. 61)

an equation that, when given an input, gives a specific outpu…

correlation

a measure of the relationship between two variables. (p. 92)

direct variation

an equation of the form y=kx, where k does not equal 0. (p. 68)

The Distributive Property

Distribute: x (2 + x)

8x + 16y - 24z

Like terms

The FACTOR on the outside of the parentheses distributes (mul…

2x + x²

Distribute: 8 (x + 2y - 3z)

Terms that are separated by "+" or "-" can only be combined i…

The Distributive Property

The FACTOR on the outside of the parentheses distributes (mul…

Distribute: x (2 + x)

2x + x²

absolute value function

boundary

constant function

dependent variable

a function where f(x) ≥ 0 for all values of x

a line or curve that separates the coordinate plane into two…

a linear function of the from f(x) = b

the variable whose values depend on the values of the indepen…

absolute value function

a function where f(x) ≥ 0 for all values of x

boundary

a line or curve that separates the coordinate plane into two…

Order of Operations

Variable

Terms

Constants

Rules that tell you which operations to do first

A letter that represents a number

Parts of an expression separated by a + or - sign

Numbers, or quantities, that do not change

Order of Operations

Rules that tell you which operations to do first

Variable

A letter that represents a number

absolute value function

axis of symmetry

direct variation

domain

a V-shaped function written in the form of

**y = |x|**.a line that divides a graph into two congruent reflected halv…

a linear function defined by an equation of the form y=kx, wh…

all possible x-coordinate values.

absolute value function

a V-shaped function written in the form of

**y = |x|**.axis of symmetry

a line that divides a graph into two congruent reflected halv…

Dimensional analysis

Equivalent equations

Extremes

Formula

The process of carrying units throughout a computation.

Equations that have the same solution.

In the ratio a/b = c/d , a and d are the extremes.

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

Dimensional analysis

The process of carrying units throughout a computation.

Equivalent equations

Equations that have the same solution.

expanded notation

Commutative Property of Addition

geometry

Commutative Property of Multiplication

an algebraic expression written to show its smallest terms

the order in which two numbers are added does not change its…

the study of points, lines, angles, surfaces, and solids

the order in which two numbers are multiplied does not change…

expanded notation

an algebraic expression written to show its smallest terms

Commutative Property of Addition

the order in which two numbers are added does not change its…

Equivalent Fractions

Least Common Denominator (LCD)

Simplest Form

Proper Fraction

Fractions that represent the same number

The least common multiple of the denominators of two or more…

a fraction is in simplest form if its numerator and denominat…

A fraction whose numerator is less than its denominator

Equivalent Fractions

Fractions that represent the same number

Least Common Denominator (LCD)

The least common multiple of the denominators of two or more…

solve an equation

equivalent equation

formula

identity

to find all values of the variable that make the equation a t…

equations that have the same solution, but just look different

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

an equation that is true for all real values of the variable…

solve an equation

to find all values of the variable that make the equation a t…

equivalent equation

equations that have the same solution, but just look different

ratio

weighted averages

percent of change

rate

a comparison of two numbers by division

the sum of the product of the number of units and the value p…

percent of increase or decrease

a ration of two measurements having different units of measure

ratio

a comparison of two numbers by division

weighted averages

the sum of the product of the number of units and the value p…

relation

domain

range

mapping diagram

a set of pairs of input and output values

the set of all inputs, or x-coordinates of the ordered pairs

the set of all outputs, or y-coordinates of the ordered pairs

a way to show a relation by linking elements of the domain wi…

relation

a set of pairs of input and output values

domain

the set of all inputs, or x-coordinates of the ordered pairs

An equation is a function if...

Definition of a function

Vertical Line Test

Even Function

each x-value has only one y-value

a correspondence from a first set, called the domain, to a se…

if any vertical line intersects a graph in more than one poin…

f(-x) = f(x), reflected over y-axis

An equation is a function if...

each x-value has only one y-value

Definition of a function

a correspondence from a first set, called the domain, to a se…

formula (2.1)

solve an equation (2.2)

equivalent equations (2.2)

subtraction property of equality (2.2)

a rule for the relationship between certain quantities

to find the value of the variable that makes the equation true

have the same solution

if an equation is true and the same number is subtracted from…

formula (2.1)

a rule for the relationship between certain quantities

solve an equation (2.2)

to find the value of the variable that makes the equation true

Consecutive Numbers

Dimensional Analysis

Equivalent Equations

Extremes

The members of a set listed in order, without skipping any; c…

A technique of problem-solving that uses the units that are p…

equations that have the same solution

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

Consecutive Numbers

The members of a set listed in order, without skipping any; c…

Dimensional Analysis

A technique of problem-solving that uses the units that are p…

Parent Function

Line of Best Fit

Scatterplot

Reflection

Simplest form of a set of functions that form a family

The trend line that finds the most accurate model of related…

Graph that relates two different sets of data by plotting the…

Flips the graph of a function across a line

Parent Function

Simplest form of a set of functions that form a family

Line of Best Fit

The trend line that finds the most accurate model of related…

Whole numbers

Integers

Rational numbers

Opposites

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

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

numbers that can be written a/b where a and b are integers

two numbers the same distance from 0, but are on opposite sid…

Whole numbers

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

Integers

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

Relation

Function

Domain

Range

set of ordered pairs

Type of reaction where each x can only be paired with one y

Set of all input (x) values that make sense or allowed for a…

Set of all output (y) values that exist for a function

Relation

set of ordered pairs

Function

Type of reaction where each x can only be paired with one y

1 step Equation

2 step Equation

Multi - Step Equation

Identity

get the variable by itself by undoing the problem... - addition…

get the variable by itself by undoing the problem, reverse th…

get the variable by itself by undoing the problem, reverse th…

both sides of equal sign are same

1 step Equation

get the variable by itself by undoing the problem... - addition…

2 step Equation

get the variable by itself by undoing the problem, reverse th…

Real numbers

Natural numbers

Whole numbers

Integers

Encompasses all number systems

The positive counting numbers (1,2,3,...)

The positive counting numbers including zero (0,1,2,3,...)

The set of positive and negative whole numbers

Real numbers

Encompasses all number systems

Natural numbers

The positive counting numbers (1,2,3,...)

consecutive integers

equivalent equations

identity

inverse operations

Integers that differ by 1

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 1

equivalent equations

Equations that have the same solution

Consecutive Integers

Dimensional analysis

Equivalent equations

Extremes

integers in counting order

A mathematical technique that allows you to use units to solv…

equations that have the same solution

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

Consecutive Integers

integers in counting order

Dimensional analysis

A mathematical technique that allows you to use units to solv…

Order of Operation ( PEMDAS )

Variable

Terms

Coefficient

Rule that tells you what to do first

a letter that represents a number

parts of an expression separated by a+ or - sign

a number that multiples a variable

Order of Operation ( PEMDAS )

Rule that tells you what to do first

Variable

a letter that represents a number

relation

domain

range

function

a set of pairs of input and output values

set of all inputs, or x-coordinates

set of all outputs, or y coordinates

a relation in which each element of the domain is paired with…

relation

a set of pairs of input and output values

domain

set of all inputs, or x-coordinates

absolute value function

boundary

dependent variable

domain

y = a|x-h|+k

a line or curve that separates the coordinate plane into two…

the variable whose values depend on the values of the indepen…

the set of all x-coordinates of the ordered pairs of a relation

absolute value function

y = a|x-h|+k

boundary

a line or curve that separates the coordinate plane into two…

Consecutive Integers

Dimensional Analysis

Equivalent Equations

Extremes

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

changing from one unit to another via conversion factors... aka…

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 or n, n+1, and n+2.

Dimensional Analysis

changing from one unit to another via conversion factors... aka…

Solution of the equation

Equivalent Equations

Inverse Operations

Consecutive Integers

To solve an equation containing a variable, find the value(s)…

Equations that have the same solution(s)

Operations that undo one another

Numbers that differ by 1

Solution of the equation

To solve an equation containing a variable, find the value(s)…

Equivalent Equations

Equations that have the same solution(s)

Order of Operations

variable

terms

constants

rules that tell which operation to do first

a letter that represents a number

parts of an expression separated by a + or a - sign

numbers, or qualities, that do not change

Order of Operations

rules that tell which operation to do first

variable

a letter that represents a number

equation

formula

cross products

formula

A statement that two expressions have the same value.

An equation that states a rule or a fact.

The product of the numerator of one ratio and the denominator…

A mathematical relationship or rule expressed in symbols.

equation

A statement that two expressions have the same value.

formula

An equation that states a rule or a fact.

Order of Operations

variable

terms

constants

rules that tell you which operations to do first

a letter that represents a number

parts of an expression separated by a + or - sign

numbers, or quantities, that do not change

Order of Operations

rules that tell you which operations to do first

variable

a letter that represents a number

Additive Identity

Coefficient

Constant

Equation

The sum of a number and 0 is the number

The number part of a term with a variable

A number with no variable

A mathematical sentence formed by placing an equal sign betwe…

Additive Identity

The sum of a number and 0 is the number

Coefficient

The number part of a term with a variable

additive identity

multiplication identity

commutative property of addition

commutative property of multiplication

the sum of a number, and the additive identity, 0, is the num…

the product of a number and the multiplication identity, 1, i…

changing the order of the addends will not change the sum: *a…

changing the order of the factors will not change the product…

additive identity

the sum of a number, and the additive identity, 0, is the num…

multiplication identity

the product of a number and the multiplication identity, 1, i…

variable

constant

algebraic expression

equation

an expression that contains as least one variable

a value that does not change

a symbol used to represent a quantity that can change

a mathematical sentence that shows that two expressions are e…

variable

an expression that contains as least one variable

constant

a value that does not change

solve an equation

equivalent equations

multi-step equation

consecutive integers

the process of finding all values of the variable that make t…

equations that have the same solution

equations with more than one operation

integers in counting order

solve an equation

the process of finding all values of the variable that make t…

equivalent equations

equations that have the same solution

consecutive integers

identity

literal equation

proportion

Integers in counting order.

An equation that is true for every value of the variable.

A formula or equation with several variables.

An equation of the form (a/b)=(c/d), where b, d ≠ 0, stating…

consecutive integers

Integers in counting order.

identity

An equation that is true for every value of the variable.

Associative Property of Multiplication

Associative Property of Addition

Distributive Property

Commutative Property of Addition

a(bc) = (ab)c

(a + b) + c = a + (b + c)

a(b + c) = ab + bc

a + b = b + a

Associative Property of Multiplication

a(bc) = (ab)c

Associative Property of Addition

(a + b) + c = a + (b + c)

Equation

Solution of an Equation

Identity

Contradiction

Mathematical Statement that two expressions are the same.

A value for a variable that makes an equation true

An equation that's true for all the values of the variable

An equation that is not true for any value of the variable.

Equation

Mathematical Statement that two expressions are the same.

Solution of an Equation

A value for a variable that makes an equation true