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

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

absolute value (p. 63)

additive inverse (p. 71)

coordinate (p. 62)

inequality (p. 62)

The distance a number is from zero on the number line.

An integer and its opposite.

A number that corresponds with a point on a number line.

A mathematical sentence that contains <, >, ≠, ≤, or ≥.

absolute value (p. 63)

The distance a number is from zero on the number line.

additive inverse (p. 71)

An integer and its opposite.

absolute value function

constant of variation

dependent variable

direct variation

a function of the form y = |mx + b| + c

k value which is the ratio of y to x

y-values

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

absolute value function

a function of the form y = |mx + b| + c

constant of variation

k value which is the ratio of y to x

2.1 inequality

2.1 solution of an inequality

A < B

A > B

a statement that two quantities are not equal

any value of the variable that makes the inequality true

A is less than B

A is greater than B

2.1 inequality

a statement that two quantities are not equal

2.1 solution of an inequality

any value of the variable that makes the inequality true

Area

Terms

Distributive Property

Polynomial

The number of square tiles it takes to fill a region on a fla…

A number, variable, or the product of numbers ad variables

Use this to write a product of expressions as a sum of terms

An expression that is the sum or difference of two or more te…

Area

The number of square tiles it takes to fill a region on a fla…

Terms

A number, variable, or the product of numbers ad variables

formula

solve an equation

equivalent equations

multi-step equation

relationship between certain quantities

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

have the same solution

an equation that requires more than one step to solve

formula

relationship between certain quantities

solve an equation

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

Absolute Value

Additive Inverse

Integer

Opposite

The distance of a number from zero on a number line

the opposite of a number

the set of whole numbers and their opposites

Two numbers that are an equal distance from zero on a number…

Absolute Value

The distance of a number from zero on a number line

Additive Inverse

the opposite of a number

Compound Inequality

Equivalent Inequalities

Graph of an Inequality

Inequality

inequality formed by joining two inequalities with the word a…

inequalities that have the same solution

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

mathematical sentence that compares expressions

Compound Inequality

inequality formed by joining two inequalities with the word a…

Equivalent Inequalities

inequalities that have the same solution

variable

algebraic expression

factor

power

any letter used to represent an unspecified number or value

an expression consisting of one or more numbers or variables,…

quantities being multiplied

an expression such as x to the nth power

variable

any letter used to represent an unspecified number or value

algebraic expression

an expression consisting of one or more numbers or variables,…

Slope

x-intercept

y-intercept

Slope-intercept form

Measure of steepness of a line can be positive, negative, zer…

Location where a function crosses the x axis. The location is…

Location where a function crosses the y axis. The location is…

y=mx+b where m is the slope and b is the point where the y ax…

Slope

Measure of steepness of a line can be positive, negative, zer…

x-intercept

Location where a function crosses the x axis. The location is…

What is the difference quotient?

Define domain

Define range

Define a function

DQ = [f(x+h) - f(x)] / h

The x-values a relation can have. Ask yourself 2 questions: 1…

The y-values a relation can have.

A relation whose graph passes a vertical line test.... Each x is…

What is the difference quotient?

DQ = [f(x+h) - f(x)] / h

Define domain

The x-values a relation can have. Ask yourself 2 questions: 1…

variables

terms

constants

coefficients

the letter that represents a number

parts of an expression separate by a = or - sign

numbers,or qualities , that do not change

a number that multiplies a variable

variables

the letter that represents a number

terms

parts of an expression separate by a = or - sign

addition property of equality

consecutive integers

division property of equality

equivalent equations

The property that states the same number can be added to both…

_____ are integers that are in counting order such as 4, 5, 6…

The property that states both sided of an equation can be div…

_____ are equations that have the same solution

addition property of equality

The property that states the same number can be added to both…

consecutive integers

_____ are integers that are in counting order such as 4, 5, 6…

Leading Coefficient

Relative Maximum

Relative Minimum

axis of symmetry

It's the coefficient of the first term of a polynomial in sta…

No other nearby points have a higher y value.

No other nearby points have a lower y value.

a line that divides a plane figure or a graph into two congru…

Leading Coefficient

It's the coefficient of the first term of a polynomial in sta…

Relative Maximum

No other nearby points have a higher y value.

absolute value function

axis of symmetry

boundary

constant of variation

a function of the form f(x) = |mx + b| + c, where m does not…

a line that divides a figure into two parts that are mirror i…

a line in the cordinate plane that separated the solutions of…

the ratios of the two variables in a direct variation and the…

absolute value function

a function of the form f(x) = |mx + b| + c, where m does not…

axis of symmetry

a line that divides a figure into two parts that are mirror i…

proportion

rate

ratio

subtraction property of equality

an equation that states that two ratios are equal

compares quantities measured in different units

a comparison of two numbers

subtracting the same number from each side of an equation

proportion

an equation that states that two ratios are equal

rate

compares quantities measured in different units

Absolute value function

Bivariate data

Continuous relation

Correlation coefficient

A function written as f(x)=... |x|

Data consisting of pairs of value

A relation tat can be graphed with a line or smooth cure

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

Absolute value function

A function written as f(x)=... |x|

Bivariate data

Data consisting of pairs of value

Difference between concavity and incre…

Function (Definition)

A function is even if visably you can…

Fuction is odd if you can see..

Concave is positivity/negativity in the change of (y) (curve…

Each (x) input has exactly one (y) output.

Symetry over the Y-Axis.

Symetry over the origin.

Difference between concavity and incre…

Concave is positivity/negativity in the change of (y) (curve…

Function (Definition)

Each (x) input has exactly one (y) output.

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…

first differences

solution

intersection point

compound inequality

determined by calculating the difference between successive p…

any value that makes the open sentence true

the ordered pair that satisfies both functions at the same time

an inequality that is formed by the union, "or," or the inter…

first differences

determined by calculating the difference between successive p…

solution

any value that makes the open sentence true

Varies Directly As

Constant of Variation

Direct variation function

Varies Inversely As

How to read a formula - r = 5c - r varies directly as c

k in a formula - the constant

y = kx^2

How to read a formula - A=5/r - A varies inversely as r, wher…

Varies Directly As

How to read a formula - r = 5c - r varies directly as c

Constant of Variation

k in a formula - the constant

solution of an inequality

solution set

graph of an inequality

expression

A value that makes an inequality true

The set of all solutions of an inequality

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

Numbers, symbols and operators (such as + and ×) grouped toge…

solution of an inequality

A value that makes an inequality true

solution set

The set of all solutions of an inequality

One-to-one function

Onto function

Both one-to-one and onto

Discrete relation

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

Each element of the range corresponds to an element of the do…

Each element of the domain is paired to exactly one element o…

A relation in which the domain is a set of individual points.…

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 of the do…

equivalent equations

addition prop. of equality

subtraction prop. of equality

multplication prop. of equality

equations that have the same solution

adding the same number to each side of the equation

subtracting the same number on both sides of the equation

multiplying the same number on both sides

equivalent equations

equations that have the same solution

addition prop. of equality

adding the same number to each side of the equation

Solve: 2n+6<4

Solve: 5n-4>11

Solve: 2x+5<6

If the inequality is 2<x, which way do…

n<-1 ... Graph: open circle at -1, shade to the left

n>3... Graph: open circle at 3, shade to the right

x<1/2 or x<0.5

Towards the larger numbers (right)

Solve: 2n+6<4

n<-1 ... Graph: open circle at -1, shade to the left

Solve: 5n-4>11

n>3... Graph: open circle at 3, shade to the right

relation

domain x

range y

function

mapping, or pairing, of input values with output values

the set of input values

the set of output values

relation with only one output value for each input value

relation

mapping, or pairing, of input values with output values

domain x

the set of input values

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 c…

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.

Parabola

Quadratic function

Vertex Form

Vertex of a Parabola

The graph of a quadratic function

A function that can be written in the form f(x)=a(x-h)²+k, wh…

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

The lowest point on a parabola that opens up or the highest p…

Parabola

The graph of a quadratic function

Quadratic function

A function that can be written in the form f(x)=a(x-h)²+k, wh…

Subtraction Property

Multiplication Property

Division Property

Substitution Property

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

If a = b, then ac = bc

If a = b then a/c = b/c

If a = b, then b can be substituted for a in any equation or…

Subtraction Property

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

Multiplication Property

If a = b, then ac = bc

Relation

Domain

Range

Mapping Diagram

is a set of pairs of input and output values

of a relation is the set of all inputs, or x coordinates of t…

is the set of all outputs, or y coordinates of the ordered pa…

links elements of the domain with corresponding elements of t…

Relation

is a set of pairs of input and output values

Domain

of a relation is the set of all inputs, or x coordinates of t…

quadratic function

parabola

vertex of a parabola

vertex form

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

the graph of a quadratic function

the lowest or highest point on a parabola

y=a(x-h)^2+k

quadratic function

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

parabola

the graph of a quadratic function

Function

Vertical Line-Test

Independent Variable

Dependent Variable

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

If a vertical line passes through more than one point on the…

the x, represents the input of the function.

the y or f(x), represents the output of the function

Function

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

Vertical Line-Test

If a vertical line passes through more than one point on the…

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…

Real Numbers

Origin

Negative Numbers

Positive Numbers

The numbers that are pictured as points on a horizontal line.

The point labeled zero on a number line or on a graph.

Points to the left of the zero on a real number line.

Points to the right of a zero on a real number line.

Real Numbers

The numbers that are pictured as points on a horizontal line.

Origin

The point labeled zero on a number line or on a graph.

Consecutive Intergers

Extreme

Formula

Means

Integers in counting order

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

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

The middle terms of the proportion

Consecutive Intergers

Integers in counting order

Extreme

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

Distance... Distancia

Rate... Tasa

Time... Tiempo

Coordinate Plane... Plano cordinado

The length between two points.

A comparison in fraction form between 2 units of a measure.

Ex. Seconds, Minutes, Hours, Days, Weeks, Years

The space created by the intersection of the x and y-axis.

Distance... Distancia

The length between two points.

Rate... Tasa

A comparison in fraction form between 2 units of a measure.