# Study sets matching "algebra chapter 2"

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 rati…

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 rati…

COMPRESS

DILATION

DOMAIN

EVEN FUNCTION

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

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 graph…

DILATION

A transformation which vertically compresses or stretches the…

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.

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

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 fift…

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 fift…

x = 2.1

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

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 halve…

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

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 halve…

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 t…

consecutive integers

Integers in counting order.

identity

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

Correlation

Positive Correlation

Negative Correlation

Explanatory Variable

Similarity/association between two variables

If the value of one variable increases while the other one inc…

If the value of one variable decreases while the other variabl…

The variable in that causes the other variables to change

Correlation

Similarity/association between two variables

Positive Correlation

If the value of one variable increases while the other one inc…

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 f…

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

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 f…

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 an…

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

Using properties of equality and inverse operations to get a v…

Equivalent equations

Equations that have the same solution.

Addition property of equality

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

relation

domain

range

function

a set or collection of points

the set of all inputs in a relation

the set of all outputs in a relation

a relation in whom each input has a unique output

relation

a set or collection of points

domain

the set of all inputs in a relation

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 halve…

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

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 halve…

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 r…

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

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

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 r…

Solution of an Inequality

Solution Set

Equivalent Inequalities

Graph of an Inequality

A value that makes an inequality true.

The set of all solutions of an inequality.

Inequalities that have the same solutions.

A graph that shows the solution set of an inequality on a numb…

Solution of an Inequality

A value that makes an inequality true.

Solution Set

The set of all solutions of an inequality.

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 pe…

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 pe…

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 sec…

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

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 sec…

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 the…

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

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 the…

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 ce…

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 s…

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 s…

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 the…

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

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 the…

Consecutive Numbers

Dimensional Analysis

Equivalent Equations

Extremes

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

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

equations that have the same solution

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

Consecutive Numbers

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

Dimensional Analysis

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

additive identity

multiplication identity

commutative property of addition

commutative property of multiplication

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

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

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 numb…

multiplication identity

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

solve an equation

equivalent equation

formula

identity

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

equations that have the same solution, but just look different

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

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 tr…

equivalent equation

equations that have the same solution, but just look different