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Real Numbers

Number Line

>

<

The type of number we normally use, such as 1, 15.82, −0.1, 3…

A line with numbers placed in their correct position. ... Usefu…

Greater Than

Less Than

Real Numbers

The type of number we normally use, such as 1, 15.82, −0.1, 3…

Number Line

A line with numbers placed in their correct position. ... Usefu…

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…

Fraction - decimal

Repeating Decimals

Repeating Decimal

Fraction to Decimal example

divide numerator to denominator

digits repeating

O.333333333333333

Divide 4 by 5, and the quotient is the decimal you want to fi…

Fraction - decimal

divide numerator to denominator

Repeating Decimals

digits repeating

Binomial

Coefficient

complex conjugates

complex numbers

A polynomial equation with 2 terms

A number multiplied by a variable in an algebraic expression.

Opposites of your complex number Ex: (a+bi) and (a-bi)

They are often represented as A + Bi.

Binomial

A polynomial equation with 2 terms

Coefficient

A number multiplied by a variable in an algebraic expression.

inequality

set-builder notation

compound inequality

intersection

An open sentence that contains the symbol <, ≤, >, ≥.

A concise way of writing a solution set. For example, {t ｜t <…

A ______________ containing 'and' is true if both of the ineq…

The graph of a compound inequality containing 'and' is the __…

inequality

An open sentence that contains the symbol <, ≤, >, ≥.

set-builder notation

A concise way of writing a solution set. For example, {t ｜t <…

improper fraction

lowest terms of a fraction

Rational Number

Mixed Number

a fraction whose numerator is larger than the denominator

A fraction is in lowest terms if the GCF of numerator and den…

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

A number consisting of an integer and a proper fraction.

improper fraction

a fraction whose numerator is larger than the denominator

lowest terms of a fraction

A fraction is in lowest terms if the GCF of numerator and den…

degree of a monomial

end behavior

monomial

multiplicity

the sum of the exponents of all variables in the one term

the directions of the graph to the far left or far right

a number, a variable, or a product of a number and one or mor…

the number of times that a variable's associated factor appea…

degree of a monomial

the sum of the exponents of all variables in the one term

end behavior

the directions of the graph to the far left or far right

Zeros of a Function

Polynomial Function

Leading Coefficient

Constant Term

A number k is a zero of a function f if f(k) = 0

Coefficient in front of the x-variable with has the highest p…

A term that has no variable part, such as -4 or 2

Zeros of a Function

A number k is a zero of a function f if f(k) = 0

Polynomial Function

boundary

compound inequality

union

half-plane

An equation that defines the edge for each... half-plane

Contains "and", and is true only if both of the... inequalities…

The graph of a compound inequality containing "or"

The solution set for an inequality that contains two... variable…

boundary

An equation that defines the edge for each... half-plane

compound inequality

Contains "and", and is true only if both of the... inequalities…

boundary

closed half-plane

compound inequality

half-plane

a line that separates a graph into half planes

Is a half-plane that contains its boundary line, which is a s…

Two or more inequalities joined together by "and" or "or"

the set of points in a coordinate plane that are on one side…

boundary

a line that separates a graph into half planes

closed half-plane

Is a half-plane that contains its boundary line, which is a s…

y-intercept

slope-intercept form

linear equation

x-intercept

the y-coordinate of a point where a graph crosses the y-axis

the linear equation y=mx+b, where m is the slope of the line…

an equation whose graph forms a straight line

the x-coordinate of a point where a graph crosses the x-axis

y-intercept

the y-coordinate of a point where a graph crosses the y-axis

slope-intercept form

the linear equation y=mx+b, where m is the slope of the line…

Binomial Theorem

Conjugate Root Theorem

end behavior

expand

a theorem that gives the expansion formula for (a+b)^n.

(a + bi)*(a - bi) = a^2 + b^2

the behavior of the graph as x approaches positive infinity o…

to complete the multiplication of two or more binomials.

Binomial Theorem

a theorem that gives the expansion formula for (a+b)^n.

Conjugate Root Theorem

(a + bi)*(a - bi) = a^2 + b^2

direct variation

linear equation

parent function

point-slope form

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

an equation whose graph forms a straight line. [p. 329]

the simplest, most general function in a family of functions.…

a linear equation of a non-vertical line including a point fr…

direct variation

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

linear equation

an equation whose graph forms a straight line. [p. 329]

Numerical expression

Variable

algebraic expression

evaluate

an expression that contains only numbers and symbols

a symbol usually a letter, used to represent a number in an e…

an expression that contains at least one variable

find the value of

Numerical expression

an expression that contains only numbers and symbols

Variable

a symbol usually a letter, used to represent a number in an e…

degree

end behavior

monomial

multiplicity

of a monomial - the exponent value of a variable. [p. 280]... of…

the directions of the graph to the far left or far right. [p.…

a number, a variable, or a product of a number and one or mor…

the number of times that a variable's associated factor appea…

degree

of a monomial - the exponent value of a variable. [p. 280]... of…

end behavior

the directions of the graph to the far left or far right. [p.…

Boundary

Compound Inequality

Inequality

Intersection

A line or curve that separates the coordinate plane into regi…

Two or more inequalities that are connected by the words "and…

An open sentence that contains the symbol ˂, >, ≤, or ≥

The graph of a compound inequality containing and; the soluti…

Boundary

A line or curve that separates the coordinate plane into regi…

Compound Inequality

Two or more inequalities that are connected by the words "and…

Boundary

Closed-Half Plane

Compound Inequality

Half-Plane

limit

The solution set when a linear inequality uses >= or <= this…

Two or more inequalities joined together by "and" or "or"

A half-plane is the graph of a linear inequality. If it is a…

Boundary

limit

Closed-Half Plane

The solution set when a linear inequality uses >= or <= this…

Point-slope form

Converse

Parallel lines

Perpendicular

y - y1 = m(x - x1 )

conditional statement that switches hypothesis and conclusion

two lines that never intersect

two lines that form right angles

Point-slope form

y - y1 = m(x - x1 )

Converse

conditional statement that switches hypothesis and conclusion

inequality

set-builder notation

compound inequality

intersection

An open sentence that contains the symbol <, ≤, >, ≥.

A concise way of writing a solution set. For example, {t ｜t <…

Two or more inequalities that are connected by the words and…

The graph of a compound inequality containing and; the soluti…

inequality

An open sentence that contains the symbol <, ≤, >, ≥.

set-builder notation

A concise way of writing a solution set. For example, {t ｜t <…

best-fitting line

positive correlation

negative correlation

point-slope form

A line that fits the data points in a scatter plot

A relationship between two data sets where the slope is posit…

A relationship between two data sets where the slope is negat…

The equation of a non-vertical line that passes through a giv…

best-fitting line

A line that fits the data points in a scatter plot

positive correlation

A relationship between two data sets where the slope is posit…

Rate of change

Slope

Direct variation

Constant of variation for a direct var…

The relationship between two quantities that are changing. Th…

The ratio of the vertical change to the horizontal change.... sl…

A linear function defined by an equation of the form... y = kx,…

The nonzero constant k in the function y = kx.

Rate of change

The relationship between two quantities that are changing. Th…

Slope

The ratio of the vertical change to the horizontal change.... sl…

boundary line

intersection

open half-plane

set-builder notation

a line that separates the coordinate plane into regions

the graph of a compound inequality containing and; the soluti…

the solution of a linear inequality that does not include the…

a more concise way of writing a solution set... for example: {x…

boundary line

a line that separates the coordinate plane into regions

intersection

the graph of a compound inequality containing and; the soluti…

boundary

closed half-plane

compound inequality

half-plane

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

the solution of a linear inequality that includes the boundary

two or more inequalities that are connected by the words and…

the region of the graph of an inequality on one side of the b…

boundary

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

closed half-plane

the solution of a linear inequality that includes the boundary

Multiplying Fractions Property

Equal Fractions Property

Dividing Fractions Property

Complex Fraction

For all real numbers a, b, c, d, with b ≠ 0 and d ≠ 0, ... a/b ∙…

For all real numbers, a, b, and k, if b ≠ 0 and k ≠ 0, then... a…

For all real numbers a, be, c, and d, with b, c, and d ≠ 0,... a…

A fraction that has a fraction in the numerator or a fraction…

Multiplying Fractions Property

For all real numbers a, b, c, d, with b ≠ 0 and d ≠ 0, ... a/b ∙…

Equal Fractions Property

For all real numbers, a, b, and k, if b ≠ 0 and k ≠ 0, then... a…

Scientific notation

Polynomial

Polynomial function

Leading coefficient

way of writing a really big or really small number, c X 10 to…

monomial or sum of monomials

is a function of the form f(x) = anxn + an-1xn-1 +... a1x+ a0…

an, number in front of highest exponent

Scientific notation

way of writing a really big or really small number, c X 10 to…

Polynomial

monomial or sum of monomials

arithmetic sequence

common difference

conjecture

constant of variation

A number sequence formed by adding a fixed number to each pre…

The fixed number added to each term of an arithmetic sequence

Conclusion reached by inductive reasoning

The nonzero constant k in the function y = kx

arithmetic sequence

A number sequence formed by adding a fixed number to each pre…

common difference

The fixed number added to each term of an arithmetic sequence

graph

relation

mapping diagram

function

shows the relationship between two variables

a set of ordered pairs

list domain values in order; list range values in order; draw…

a relation that assigns exactly one output value for each inp…

graph

shows the relationship between two variables

relation

a set of ordered pairs

Arithmetic Sequence

Common Difference

Conjecture

Constant of Variation for Direct Varia…

A number sequence formed by adding a fixed number to each pre…

The fixed number added to each term of an arithmetic sequence.

Conclusion reached based on patterns observed.

The nonzero constant k in the function y = kx.

Arithmetic Sequence

A number sequence formed by adding a fixed number to each pre…

Common Difference

The fixed number added to each term of an arithmetic sequence.

Asymptote

Composite function

Domain

Exponential function

A line that a graph of a curve approaches as the x values app…

A function that is created as the result of using the outputs…

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

an equation of the form y = abx+ c, where a is the initial va…

Asymptote

A line that a graph of a curve approaches as the x values app…

Composite function

A function that is created as the result of using the outputs…

Area

Formula

Identity

Inequality

The number of square units required to cover a surface.

(mathematics) a standard procedure for solving a class of mat…

An equation that is true for all values of the variable.

A mathematical sentence that contains less than, greater than…

Area

The number of square units required to cover a surface.

Formula

(mathematics) a standard procedure for solving a class of mat…

Slope

intercept

x intercept

y intercept

the steepness of a line on a graph, equal to its vertical cha…

the point at which a line intersects a coordinate axis

x coordinate of a point where a graph crosses the x axis/ y c…

the point where the graph crosses the y-axis; the x-value wil…

Slope

the steepness of a line on a graph, equal to its vertical cha…

intercept

the point at which a line intersects a coordinate axis

System of Linear Equations

Solution of a System of Linear Equations

Linear Inequality in Two Variables

Solution of a Linear Inequality in Two…

A set of two or more linear equations in the same variables.

An ordered pair that is a solution of each equation in the sy…

An inequality written in the form ax+by < c, ax+by less than…

An ordered pair (x, y) that makes an equation true.

System of Linear Equations

A set of two or more linear equations in the same variables.

Solution of a System of Linear Equations

An ordered pair that is a solution of each equation in the sy…

inequality

or

compound inequality

intersection

open sentence containing <, >, ≥, or ≤

when the absolute value is greater than or greater than or eq…

two inequalities using the word "and" or "or"

the graph of a compound inequality containing "and"; the area…

inequality

open sentence containing <, >, ≥, or ≤

or

when the absolute value is greater than or greater than or eq…

Binomial Theorem

Conjugate Root Theorem

end behavior

expand

a theorem that gives the expansion formula for (a+b)^n.

(a + bi)*(a - bi) = a^2 + b^2

the behavior of the graph as x approaches positive infinity o…

to complete the multiplication of two or more binomials.

Binomial Theorem

a theorem that gives the expansion formula for (a+b)^n.

Conjugate Root Theorem

(a + bi)*(a - bi) = a^2 + b^2

Monomial

Degree of a Monomial

Polynomial

Degree of a Polynomial

A real number, variable, or a product of a real number and on…

The exponent of a variable.

A monomial or a sum of monomial so.

The greatest degree among its monomial terms.

Monomial

A real number, variable, or a product of a real number and on…

Degree of a Monomial

The exponent of a variable.

relation

domain

range

function

set of ordered pair

the first coordinates of the ordered pairs in a relation

the second coordinates of the ordered pairs

relation that assigns exactly one value in the range to each…

relation

set of ordered pair

domain

the first coordinates of the ordered pairs in a relation

constant of variation

direct variation

family of functions

linear function

The constant k in direct and inverse variation equations.

A linear relationship between two variables, x and y, that ca…

A set of functions whose graphs have basic characteristics in…

A function that can be written in the form y = mx + b, where…

constant of variation

The constant k in direct and inverse variation equations.

direct variation

A linear relationship between two variables, x and y, that ca…

Compare

Contrast

Support

Complex Fraction

To look at two or more things closely in order to tell all th…

To look at two or more things closely in order to tell all th…

To provide with substantiation.

A fraction that has at least one fraction in the numerator, d…

Compare

To look at two or more things closely in order to tell all th…

Contrast

To look at two or more things closely in order to tell all th…

mole fraction

vapor pressure

22.4 L

low, compressible, homogenous

The ratio of the moles of a single component to the total num…

The partial pressure of the water vapor, called the _________…

When gases are at STP, use 1 mole = to what?

Gases have ______ density, are _________, and are always ____…

mole fraction

The ratio of the moles of a single component to the total num…

vapor pressure

The partial pressure of the water vapor, called the _________…

simple interest

compound interest

horizontal asymtote

basic function

the interest earned at the end of each year is a percent of t…

the interest earned at the end of each year is a percent of t…

a horizontal line that a function gets closer and closer to,…

simplest function of its type.

simple interest

the interest earned at the end of each year is a percent of t…

compound interest

the interest earned at the end of each year is a percent of t…

slope intercept form

how to do slope intercept form

point-slope form

slope is ......

Y=mx+b

1. Use given information to fill in m and b ... 2. Remember that…

m or rise over run

slope intercept form

Y=mx+b

how to do slope intercept form

1. Use given information to fill in m and b ... 2. Remember that…

Boundary

closed half-plane

compound inequality

half-plane

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

The solution of a linear inequality that includes the boundar…

two or more inequalities that are connected by the words AND…

The region of the graph of an inequality on one side of a bou…

Boundary

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

closed half-plane

The solution of a linear inequality that includes the boundar…

Direct Variation

Constant of Variation

Joint Variation

Inverse Variation

Relationship between x and y written as y = kx

The value of k in a variation equation

Given by y = kxz

One goes up other goes down; y = k/x

Direct Variation

Relationship between x and y written as y = kx

Constant of Variation

The value of k in a variation equation