# Study sets matching "algebra chapter 6 inequalities"

Study sets

Diagrams

Classes

Users

System of linear equations

Solution of a system of linear equations

Consistent system

Independent system

Two or more linear equations using the same variables.

Any ordered pair that makes all of the inequalities in the sys…

A system of equations that has at least one solution is consis…

A system of linear equations that has a unique solution.

System of linear equations

Two or more linear equations using the same variables.

Solution of a system of linear equations

Any ordered pair that makes all of the inequalities in the sys…

consistent

dependent

elimination method

inconsistent

a system of equations that has at least one solution

a system of equations that does not have a unique solution

when you add or subtract two equations to eliminate one of the…

a system of equations that has no solution

consistent

a system of equations that has at least one solution

dependent

a system of equations that does not have a unique solution

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"…

systems of equations

consistent system of equations

Independent system of equations

dependent system of equations

Set of equations with the same variable

A system of equations that is said to have exactly one solutio…

A consistent system of equations with exactly one solution

A system of equations that has an infinite number of solutions.

systems of equations

Set of equations with the same variable

consistent system of equations

A system of equations that is said to have exactly one solutio…

Solution of an inequality

Equivalent inequalities

Roster form

Set-builder notation

Any value or values of a variable in the inequality that makes…

Inequalities that have the same set of solutions.

A notation for listing all of the elements in a set using set…

A notation used to describe the elements of a set.

Solution of an inequality

Any value or values of a variable in the inequality that makes…

Equivalent inequalities

Inequalities that have the same set of solutions.

inequality

solution of an inequality

solution set

graph of an inequality

a mathematical sentence that compares quantities

a value that makes the inequality true

the set of all solutions of an inequality

shows the solution set on a number line

inequality

a mathematical sentence that compares quantities

solution of an inequality

a value that makes the inequality true

System of Equations

Consistent

Independent

Dependent

A set of equations with the same variables.

A system of equations that has at least one ordered pair that…

A system of equations with exactly one solution.

A system of equations that has an infinite number of solutions.

System of Equations

A set of equations with the same variables.

Consistent

A system of equations that has at least one ordered pair that…

Addition Property of Inequality

Division Property of Inequality

Inequality

Multiplication Property of Inequality

The Addition Property of Inequality states that if you add the…

The Division Property of Inequality states that is you divide…

An inequality is a mathematical sentence that contains one of…

The Multiplication Property of Inequality states that if you m…

Addition Property of Inequality

The Addition Property of Inequality states that if you add the…

Division Property of Inequality

The Division Property of Inequality states that is you divide…

linear function

linear equation

y intercept

x intercept

a function whose graph forms a straight line Ax + By = C

any equation that can be written in standard form Ax + By = C

the y-coordinate where the graph intersects the y-axis, b (0,…

the x-coordinate where the graph intersects the x-axis (x, 0)

linear function

a function whose graph forms a straight line Ax + By = C

linear equation

any equation that can be written in standard form Ax + By = C

Compound Inequality

Inequality

Linear Inequality

Solution Set

Two inequalities joined with "and" or "or

A mathematical statement that has two expressions that are not…

An inequality in two variables that would graph a line and sha…

A set of solutions that can be an infinite number of solutions

Compound Inequality

Two inequalities joined with "and" or "or

Inequality

A mathematical statement that has two expressions that are not…

System of Linear Equations

Solution of a system of linear equations

Substitution Method

Elimination Method

two or more linear equations

The ordered pair that makes all the equations in a system true

When you solve one of the equations in the system for x or y,…

When you add or subtract the linear equations so that one vari…

System of Linear Equations

two or more linear equations

Solution of a system of linear equations

The ordered pair that makes all the equations in a system true

Consistent

Dependent

Elimination

Inconsistent

a system of equations that has at least one ordered pair that…

a system of equations that has an infinite number of solutions.

the use of addition or subtraction to eliminate one variable a…

a system of equations with no ordered pairs that satisfy the s…

Consistent

a system of equations that has at least one ordered pair that…

Dependent

a system of equations that has an infinite number of solutions.

consistent

dependent

elimination

inconsistent

When the graphs of a system of equations intersect or coincide.

A system of equations with an infinite number of solutions.

Solving systems of equations by adding the two equations toget…

A system of equations with no ordered pairs that satisfy the s…

consistent

When the graphs of a system of equations intersect or coincide.

dependent

A system of equations with an infinite number of solutions.

composite function

index of a radical

inverse function

inverse relation

a function formed by evaluating one function with another func…

the part of a radical that gives the degree of the root.

a function that "undoes" what the original function does.

a relationship in which one variable decreases when another va…

composite function

a function formed by evaluating one function with another func…

index of a radical

the part of a radical that gives the degree of the root.

graph of an inequality

equivalent inequalities

compound inequalities

absolute value equation

On a number line the set of points that represent all solution…

Inequalities that have the same solution

Two inequalities joined by and or or

An equation that contains and absolute value expression.

graph of an inequality

On a number line the set of points that represent all solution…

equivalent inequalities

Inequalities that have the same solution

(-4,-2)

(-1/5,-2)

consistent, dependent, infinitely many…

consistent, independent, one solution

2x - 3y = -2... y - 3x = 10

-10x + y = 0... 5x + 3y = -7

Classify the system of equations. Give the number of solutions…

Classify the system of equations. Give the number of solutions…

(-4,-2)

2x - 3y = -2... y - 3x = 10

(-1/5,-2)

-10x + y = 0... 5x + 3y = -7

consistent

dependent

elimination method

inconsistent

a system of equations with at least one solution. [p. 365]

a consistent system with infinite solutions. [p. 365]

a way to solve a system of linear equations by adding or subtr…

a system of equations with no solutions. [p. 365]

consistent

a system of equations with at least one solution. [p. 365]

dependent

a consistent system with infinite solutions. [p. 365]

system of equations

consistent

independent system

dependent system

A set of two or more equations with the same variables.

a system of equations that has at least one ordered pair that…

a system with only ONE solution

A system of equations that has INFINITELY MANY solutions

system of equations

A set of two or more equations with the same variables.

consistent

a system of equations that has at least one ordered pair that…

arithmetic sequence

dependent variable

function

function rule

add the same number to the previous term (pattern)

depends on the input value (output)

a relation that assigns exactly one output value to one input…

describes the relationship between each input and output.

arithmetic sequence

add the same number to the previous term (pattern)

dependent variable

depends on the input value (output)

nth root

principal root

index

radicand

for any real numbers "a" and "b", and any positive integer "n"…

when a radical has two answers , the positive answer

in a radical, it indicates the degree of the root

the number underneath the radical

nth root

for any real numbers "a" and "b", and any positive integer "n"…

principal root

when a radical has two answers , the positive answer

equation

Substitute

Solution

Balance

A mathematical sentence stating that two quantities are equal

Replace a variable with a given real number.

The value of the variable that makes the equations true.

When both sides have the same quantity or mass. 3 + 16 = 19

equation

A mathematical sentence stating that two quantities are equal

Substitute

Replace a variable with a given real number.

Addition Property of Equality

Addition Property of Inequality

coefficient

Division Property of Equality

If you add the same number to each side of an equation, the tw…

If you add the same number to each side of an inequality, the…

The numerical factor of a term that contains a variable.

If you divide each side of an equation by the same nonzero num…

Addition Property of Equality

If you add the same number to each side of an equation, the tw…

Addition Property of Inequality

If you add the same number to each side of an inequality, the…

Addition Property of Equality

Addition Property of Inequality

coefficient

Division Property of Equality

If you add the same number to each side of an equation, the tw…

If you add the same number to each side of an inequality, the…

The numerical factor of a term that contains a variable.

If you divide each side of an equation by the same nonzero num…

Addition Property of Equality

If you add the same number to each side of an equation, the tw…

Addition Property of Inequality

If you add the same number to each side of an inequality, the…