# 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…

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"…

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

Advertisement

consistent

dependent

elimination method

inconsistent

A system of equations that has at least one solution

A consistent system that has infinitely many solutions.

If a=b and c=d, then a+c=b+d and a-c=b-d. In this method, you…

A system of equations that has no solution.

consistent

A system of equations that has at least one solution

dependent

A consistent system that has infinitely many solutions.

Consistent System

Dependent System

Elimination Method

Inconsistent System

A system of equations that has at least one solution

A consistent system with infinitely many solutions

A method for solving a system of linear equations. You add or…

A system of equations that has no solution

Consistent System

A system of equations that has at least one solution

Dependent System

A consistent system with infinitely many solutions

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…

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

Multiplication Rule for Fractions

Rule of Exponents for a Power of a Quot…

Division Rule for Fractions

Finding the Least Common Denominator

To multiply fractions, you multiply their numerators and multi…

When a fraction is raised to a power, the numerator and denomi…

To divide by a fraction, you multiply by its reciprocal.

1. Factor each denominator completely. Write any integral fact…

Multiplication Rule for Fractions

To multiply fractions, you multiply their numerators and multi…

Rule of Exponents for a Power of a Quot…

When a fraction is raised to a power, the numerator and denomi…

Solution of an inequality

Equivalent inequalities

Roster form

Set-builder notation

is any number that makes the inequality true.

are inequalities that have the same solution.

it is one way to write sets. It lists the elements of a set wi…

it is one way to write sets. It describes the properties an el…

Solution of an inequality

is any number that makes the inequality true.

Equivalent inequalities

are inequalities that have the same solution.

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 Equations

Inconsistent

Elimination

Substitution

A set of equations with the same variables.

A system of equations with no ordered pair that satisfy both e…

The use of addition or subtraction to cancel one variable and…

Use algebraic methods to find an exact solution to systems of…

System of Equations

A set of equations with the same variables.

Inconsistent

A system of equations with no ordered pair that satisfy both e…

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.

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

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

Advertisement

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…

(-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

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…