# Study sets matching "algebra chapter 5"

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DIRECT VARIATION

LINEAR EQUATION

SLOPE

POINT-SLOPE FORM

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

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, whe…

LINEAR EQUATION

An equation whose graph forms a straight line.

factor

factor set

prime number or prime

prime factorization

A number being multiplied to form a product.

The name given to the set over which a number is factored.

An integer greater than 1 that has no positive integral factor…

Expressing a positive integer as a product of primes.

factor

A number being multiplied to form a product.

factor set

The name given to the set over which a number is factored.

Boundary

Compound Inequality

Inequality

Intersection

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

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 solutio…

Boundary

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

Compound Inequality

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

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 inequ…

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 <…

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 more…

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

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

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

Graph of a linear inequality

solution of a system of equations

graph of a system of inequalities

solution of a system of inequalities

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

an ordered pair that is a solution of each equation in the sys…

the graph in two variables that shows all the solutions of the…

an ordered pair that is a solution of each inequality in the s…

Graph of a linear inequality

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

solution of a system of equations

an ordered pair that is a solution of each equation in the sys…

Rate of Change

Linear Equation

Direct Variation/Proportional Reasoning

Inverse Variation/Non Proportional Reas…

the relationship between two changing quantities, also known a…

equation that models a linear function, these equations form a…

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

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

Rate of Change

the relationship between two changing quantities, also known a…

Linear Equation

equation that models a linear function, these equations form a…

How do you determine if a relation is a…

Slope Formula

When finding slope from a GRAPH, how do…

What is a linear function?

If there are repeating x-values, the relation IS NOT a functio…

Start with the point on the LEFT and count the RISE first!

A function that forms a straight LINE when graphed.

How do you determine if a relation is a…

If there are repeating x-values, the relation IS NOT a functio…

Slope Formula

Rate of Change

Linear Equation

Direct Variation/Proportional Reasoning

Inverse Variation/Non Proportional Reas…

the relationship between two changing quantities, also known a…

equation that models a linear function, these equations form a…

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

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

Rate of Change

the relationship between two changing quantities, also known a…

Linear Equation

equation that models a linear function, these equations form a…

relation

vertical-line test

function notation

discreet data

a set of ordered pairs

method for testing if a graphed relation is a function

an equation in the form of 'f(x)=' to show the output value of…

data that involves a count of an item, such as number of peopl…

relation

a set of ordered pairs

vertical-line test

method for testing if a graphed relation is a function

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 inequ…

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 <…

absolute value function

common differen ce

dependent variable

domain

a function that has a V-shaped graph that opens up or down

the difference between consecutive terms of an arithmetic sequ…

the variable that represents output values of a function

the set of all input values of a function

absolute value function

a function that has a V-shaped graph that opens up or down

common differen ce

the difference between consecutive terms of an arithmetic sequ…

Asymptote

Composite function

Domain

Exponential function

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

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 val…

Asymptote

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

Composite function

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

Inequality

Set-Builder Notation

Compound Inequality

Intersection

the relation between two expressions that are not equal, emplo…

A shorthand used to write sets, often sets with an infinite nu…

two inequality statements joined either by the word "or" or by…

a point or line common to lines or surfaces that intersect.

Inequality

the relation between two expressions that are not equal, emplo…

Set-Builder Notation

A shorthand used to write sets, often sets with an infinite nu…

y = mx + b... y = -1/2x + 2

If you are given the slope of a line an…

If you are given the slope of a line an…

If you are given two points, first find…

1. For the following graph, write an equation in slope-interce…

2. Write an equation for the line that passes through the give…

3. Write an equation for the line that passes through the give…

4. Write an equation in slope-intercept form of the line that…

y = mx + b... y = -1/2x + 2

1. For the following graph, write an equation in slope-interce…

If you are given the slope of a line an…

2. Write an equation for the line that passes through the give…

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 po…

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

Y-Intercept

Slope

Slope-Intercept Form

Point-Slope Form

The y-coordinate of the point where the graph of a function cr…

The steepness of a line represented by the ratio of the vertic…

A linear equation written in the form y = mx + b where m = the…

A linear equation written in the form ... Y - Y1 = m(X - X1) wher…

Y-Intercept

The y-coordinate of the point where the graph of a function cr…

Slope

The steepness of a line represented by the ratio of the vertic…

inequality

set-builder notation

compound inequality

intersection

an open sentence that contains <, >

a more concise way of writing a solution set

two inequalities considered together; can be "and" or "or"

"and" inequalities, the solution must be true for both inequal…

inequality

an open sentence that contains <, >

set-builder notation

a more concise way of writing a solution set

Boundary

Closed Half-Plane

Compound Inequality

Half-Plane

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

Solution of a linear inequality that includes the boundary line

Two or more inequalities that are connected by and or or

Region of graph of an inequality on one side of boundary

Boundary

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

Closed Half-Plane

Solution of a linear inequality that includes the boundary line

axis of symmetry

complex conjugates

completing the square

constant term

a line through the graph of a parabola that divides the graph…

two complex numbers of the form a + bi and a-bi

a process used to make a quadratic expression a perfect square…

(c)

axis of symmetry

a line through the graph of a parabola that divides the graph…

complex conjugates

two complex numbers of the form a + bi and a-bi

constant of variation

direct variation

family of functions

linear equation

the number k in equations of the form y=kx

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

a group of functions with similar characteristics

constant of variation

the number k in equations of the form y=kx

direct variation

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

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)

boundary

half plane

closed half-plane

open half-plane

a line that separates a coordinate plane into regions

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

the solution of a linear inequality that includes the boundary…

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

boundary

a line that separates a coordinate plane into regions

half plane

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