# Study sets matching "algebra chapter 2"

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Additive identity

Coefficient

Constant term

Equation

The number 0 is the additive identity, because the sum of any…

The number part of a term with a variable

A term that has a number but no variable

A mathematical sentence formed by placing an equal sign, =, be…

Additive identity

The number 0 is the additive identity, because the sum of any…

Coefficient

The number part of a term with a variable

Absolute Value Function

Bivariate Data

Continous Relation

Correlation Coefficient

a function that contains an algebraic expression within absolu…

data consisting of pairs of values

a relation that can be graphed with a line or smooth curve

a measure that shows how well data are modeled by a linear equ…

Absolute Value Function

a function that contains an algebraic expression within absolu…

Bivariate Data

data consisting of pairs of values

Commutative Property

Associative Property

Distributive Property

Additive Identity

the property of addition and multiplication that allows you to…

the property of addition and multiplication that says that the…

the property that allows you to multiply a sum of a difference…

the property that states that any number plus zero equals the…

Commutative Property

the property of addition and multiplication that allows you to…

Associative Property

the property of addition and multiplication that says that the…

dimensional analysis

equivalent equations

formula

identity

the process of carrying units throughout a computation

equations that have the same solution

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

an equation that is true for every value of the variable

dimensional analysis

the process of carrying units throughout a computation

equivalent equations

equations that have the same solution

absolute-value equation

algebraic equation

closed sentence

open sentence

a number sentence that contains an equal sign and algebraic ex…

contains no variable and is either true or false

contains variables and an equal sign, and is neither true nor…

absolute-value equation

algebraic equation

a number sentence that contains an equal sign and algebraic ex…

The Distributive Property

Distribute: x (2 + x)

8x + 16y - 24z

Like terms

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

2x + x²

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

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

The Distributive Property

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

Distribute: x (2 + x)

2x + x²

In y=a|x+b|+c what does b do

In y=a|x+b|+c what does c do

In y=a|x+b|+c what does a do

Constant function

Shifts left if negative and right if positive

Shifts graph down if negative and up if positive

Determines slope and direction it opens if negative down

Y=4

In y=a|x+b|+c what does b do

Shifts left if negative and right if positive

In y=a|x+b|+c what does c do

Shifts graph down if negative and up if positive

Formula

words that describe addition

words that describe subtraction

words that describe multiplication

a rule for the relationship between certain quantities

add, more than, plus, in addition

subtract, less, less than, subtracted from

product, multiply, times, of

Formula

a rule for the relationship between certain quantities

words that describe addition

add, more than, plus, in addition

compound inequality

inequality

intersection

union

when two or more inequalities are combined

a statement that two quantities are not equal

the overlapping region of two or more number lines

the combined region of number lines

compound inequality

when two or more inequalities are combined

inequality

a statement that two quantities are not equal

ordered pair

cartesian coordinate plane

quadrant

relation

set of x and y coordinates written like (x,y)

we graph on these, x is horizontal, y is vertical

the graphing plane is divided into 4 of these

a set of ordered pairs

ordered pair

set of x and y coordinates written like (x,y)

cartesian coordinate plane

we graph on these, x is horizontal, y is vertical

domain

range

standard form

independent variable

the set of all x-coordinates of a relation

the set of all second (y-) coordinates from the ordered pairs…

a linear equation in the form of Ax+By = C

An "input" value of a function and does not depend on any othe…

domain

the set of all x-coordinates of a relation

range

the set of all second (y-) coordinates from the ordered pairs…

General Form of an Equation of a Circle

Define Relation

Define Function

Linear Equations in Two Variables Form/…

Ax + By + C = 0

A set of ordered pairs

y is a ____________ of x if for each value of x, EXACTLY ONE v…

Ax + By = C, where A and B are real numbers and A does not equ…

General Form of an Equation of a Circle

Ax + By + C = 0

Define Relation

A set of ordered pairs

negative number

positive number

integer

opposites

a number less than zero

a number greater than zero

All whole numbers (both positive and negative) and zero.

numbers equal distance from zero but on different sides of zero

negative number

a number less than zero

positive number

a number greater than zero

Equivalent Equations

Properties of Equality

Isolate

Inverse Operations

Equations that have the same solution... Ex 9/3=3 and 9/3+a=3=a a…

For all real numbers a b and c:... Addition: If a=b then a+c=b+c…

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

Operations that undo one another... Ex x-3=x+3

Equivalent Equations

Equations that have the same solution... Ex 9/3=3 and 9/3+a=3=a a…

Properties of Equality

For all real numbers a b and c:... Addition: If a=b then a+c=b+c…

absolute value function

bivariate data

constant function

continuous relation

a function that contains an algebraic expression within absolu…

data with two variables (such as year and number of visitors)

f(x) = a, where a is any number; the domain is all real number…

when the domain of a relation has an infinite number of elemen…

absolute value function

a function that contains an algebraic expression within absolu…

bivariate data

data with two variables (such as year and number of visitors)

Dimensional analysis

Equivalent equations

Formula

Identity

the process of carrying units throughout computation

equations that have the same solution

an equation that states a rule between certain quantities

an equation that is true for every value of the variable

Dimensional analysis

the process of carrying units throughout computation

Equivalent equations

equations that have the same solution

Average Rate of Change/Slope

Piecewise

Function

Relation

How steep a graph is ... The equation is change in y divided by t…

A graph that tells a story. It is divided into parts or groups…

Each x value is only used once. ... assigns one output value for…

Another word for ordered pairs (1,3)

Average Rate of Change/Slope

How steep a graph is ... The equation is change in y divided by t…

Piecewise

A graph that tells a story. It is divided into parts or groups…

The property which says that grouping s…

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's…

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

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

The property which says that grouping s…

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's…

Dimensional Analysis

equivalent equations

Formula

Identity

The process of carrying units through a computuion

equations that have the same solution

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

An equation that is true for every value of the variable

Dimensional Analysis

The process of carrying units through a computuion

equivalent equations

equations that have the same solution

dimensional analysis

Equivalent equations

Formula

Identity

The process of carrying units throughout a computation

Equations that have the same solution

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

An equation that is true for every value of the variable

dimensional analysis

The process of carrying units throughout a computation

Equivalent equations

Equations that have the same solution

Simplified

Profit

Loss

Inverse property

And expression we're all but like terms have been combined and…

In business- the income (revenue) is greater then the expense

In business- the income (revenue) is less than the expense

The sum of a number and it's opposite = 0

Simplified

And expression we're all but like terms have been combined and…

Profit

In business- the income (revenue) is greater then the expense