# Study sets matching "algebra chapter 5"

Study sets

Diagrams

Classes

Users

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 so…

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

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

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 so…

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

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.

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…

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.

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…

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…

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 deno…

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

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 deno…

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

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 <…

Rate of change

Slope

Direct variation

Constant of variation for a direct vari…

The relationship between two quantities that are changing. The…

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

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

The nonzero constant k in the function y = kx.

Rate of change

The relationship between two quantities that are changing. The…

Slope

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

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…

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)

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

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

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…

arithmetic sequence

geometric sequence

common difference

conjecture

A sequence in which each term is found by adding the same numb…

A sequence in which each term is found by multiplying the prev…

The difference between the successive terms of an arithmetic s…

Reasoning that involves the formation of conclusions from inco…

arithmetic sequence

A sequence in which each term is found by adding the same numb…

geometric sequence

A sequence in which each term is found by multiplying the prev…

absolute value function

direct variation

extrapolation

interpolation

a function with a v-shaped graph that opens up or down

a linear function defined by an equation of the form y=kx; k d…

the process of predicting a value outside the range of known v…

the process of estimating a value between two known quantities

absolute value function

a function with a v-shaped graph that opens up or down

direct variation

a linear function defined by an equation of the form y=kx; k d…

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/…