#### Study sets matching "algebra chapter 5"

#### Study sets matching "algebra chapter 5"

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…

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

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…

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 <…

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.

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…

5-1... Sales Tax

5-1... Domain

5-1... Piecewise Function

5-1... Split Function

tax paid when buying a used car

set of values that can be put into a function

gives set of rules for each domain of the function

piecewise function... - a function that gives a set of rules for…

5-1... Sales Tax

tax paid when buying a used car

5-1... Domain

set of values that can be put into a function

DIRECT VARIATION

LINEAR EQUATION

SLOPE

POINT-SLOPE FORM

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

An equation whose graph forms a straight line.

The ratio of the vertical change to the horizontal change.

A linear equation of a nonvertical line written as y-y=m(x-x).

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.

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…

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]

Order of Operations

Constant

Equation

Root of the equation

PEMDAS

a number in an expression that does not change such as 2 or -…

a mathematical sentence stating that two quantities are equal…

the number substituted for a variable that makes the equation…

Order of Operations

PEMDAS

Constant

a number in an expression that does not change such as 2 or -…

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

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…

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…

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

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

boundry

closed half-plane

compound inequality

half-plane

an imaginary line that separates the two half-planes

The solution of a linear inequality that includes the boundar…

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

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

boundry

an imaginary line that separates the two half-planes

closed half-plane

The solution of a linear inequality that includes the boundar…

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

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

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…

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…

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…

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.

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…

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…

Rate of Change

Linear Equation

Direct Variation/Proportional Reasoning

Inverse Variation/Non Proportional Rea…

the relationship between two changing quantities, also known…

equation that models a linear function, these equations form…

a relationship where as one variable goes up so does the othe…

a relationship where as one variable increases, the other var…

Rate of Change

the relationship between two changing quantities, also known…

Linear Equation

equation that models a linear function, these equations form…

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 <…

Standard Form of a Polynomial

Turning Points

End Behavior

Multiplicity

Arranges the terms by degree in descending numerical order

A point where the graph changes direction from upwards to dow…

Describes the directions of the graph as you move from left t…

The number of times the related linear factor is repeated in…

Standard Form of a Polynomial

Arranges the terms by degree in descending numerical order

Turning Points

A point where the graph changes direction from upwards to dow…

Consistent System

Dependent System

Elimination Method

Equation

A system of equations or inequalities that has at least one s…

A system of equations that has infinitely many solutions

A method used to solve systems of equations in which one vari…

A mathematical statement that two expressions are equivalent

Consistent System

A system of equations or inequalities that has at least one s…

Dependent System

A system of equations that has infinitely many solutions

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

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

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…

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 boundary li…

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 regi…

Closed half-plane

The solution of a linear inequality that includes boundary li…

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…

Measures of Central Tendancy

Measures of Spread

outlier

median

mean, median, and mode

range, standard deviation, and variance

a piece of data that is extremely different than the rest of…

the middle term in a set of data

Measures of Central Tendancy

mean, median, and mode

Measures of Spread

range, standard deviation, and variance

Order of operations is...

The "order" in the Order of Operations…

When using grouping symbols...

When the X is trapped inside both pare…

just the instructions on how to add, multiply, etc numbers in…

parenthesis, exponents, multiplication and division, addition…

parenthesis should be innermost and done first, brackets are…

you need to distribute twice.

Order of operations is...

just the instructions on how to add, multiply, etc numbers in…

The "order" in the Order of Operations…

parenthesis, exponents, multiplication and division, addition…

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

Mean or arithmetic average

Median

Mode

Outlier

The total value of item's divided by the number of items

middle number(think median of a road)

most-occurring number

data that is extremely different than the rest of data

Mean or arithmetic average

The total value of item's divided by the number of items

Median

middle number(think median of a road)

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…

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…

Point Slope Form

Perpendicular Lines

Standard Form

Conditional Statement

An equation of a nonvertical line written in the form y-y1=m(…

Two lines in the same plane that intersect to form a right an…

Ax+ By=C where A, B, and C are all real numbers and A and B a…

A statement with a hypothesis and a conclusion.

Point Slope Form

An equation of a nonvertical line written in the form y-y1=m(…

Perpendicular Lines

Two lines in the same plane that intersect to form a right an…

decimal

decimal point

scientific notation

tally

a number written with a dot; values of places to the left of…

the dot in a decimal; it separates the part greater than 1 fr…

a number written as the product of two factors; the first fac…

a way to keep a count

decimal

a number written with a dot; values of places to the left of…

decimal point

the dot in a decimal; it separates the part greater than 1 fr…