# Study sets matching "algebra ii honors chapter 3"

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Users

independent system

dependent system

inconsistent system

≤ or ≥ will be

ONLY one solution

infinitely many solutions... THEY ARE THE SAME EXACT LINE

no solution... parallel lines... slope is the same

solid

independent system

ONLY one solution

dependent system

infinitely many solutions... THEY ARE THE SAME EXACT LINE

System of two linear equations

Consistent

Inconsistent

Independent

In two variables x and y, also called a linear system, consist…

A system that has at least one solution

A system that has no solution

A consistent system that has exactly one solution

System of two linear equations

In two variables x and y, also called a linear system, consist…

Consistent

A system that has at least one solution

system of equations

consistent

inconsistent

independent

two or more equations with the same variables

a system of equations that has at least one solution

a system of equation that has no solutions

a consistent system that has exactly one solution

system of equations

two or more equations with the same variables

consistent

a system of equations that has at least one solution

bounded region

consistent system

constraints

dependent system

when the graph of a system of constraints is a polygonal region

a system of equations that has at least one solution

the inequalities we graph

a consistent system that has an infinite number of solutions (…

bounded region

when the graph of a system of constraints is a polygonal region

consistent system

a system of equations that has at least one solution

System of equations

Linear system

Solution of a system

Consistent

Two or more related unknowns as a set of two or more equations.

Consists of linear equations.

A set of values for the variables that makes all equations tru…

Dependent: infinitely many solutions... Independent: one solution

System of equations

Two or more related unknowns as a set of two or more equations.

Linear system

Consists of linear equations.

Solution of a System

Linear System

System of Equations

Inconsistent

A set of values for the variables that makes all the equations…

A set that consists of linear equations.

A set or two or more equations

Solution of a System

A set of values for the variables that makes all the equations…

Linear System

A set that consists of linear equations.

Solution

Inconsistant

Consistant

Consistent and Independent

The ordered pair that satisfies each equation in the system

A system with no solution, if the lines are parallel

A system with at least one solution

A system with exactly one solution

Solution

The ordered pair that satisfies each equation in the system

Inconsistant

A system with no solution, if the lines are parallel

Consistent Independent

Consistent Dependent

Inconsistent

Graphing to solve a system

"1 solution"... Slopes are different

"infinitely many solutions"... Same slope and y intercept

"No solution"... Same slope different y intercept

Graph the equations and the answer is where the two lines inte…

Consistent Independent

"1 solution"... Slopes are different

Consistent Dependent

"infinitely many solutions"... Same slope and y intercept

linear programming... constraints

boundary lines

consistent independent

inconsistent

a method of finding a minimum or maximum value that satisfies…

When graphing an inequality in two variables, the ______ _____…

If the equations in a system have different slopes the system…

If the equations in a system have equal slopes and equal y-int…

linear programming... constraints

a method of finding a minimum or maximum value that satisfies…

boundary lines

When graphing an inequality in two variables, the ______ _____…

how can you tell whether 2 equations ar…

how can you tell whether 2 equations ar…

what is slope- intercept form?

what is point- slope form?

they have the same slope

their slopes are opp. reciprocal.

how can you tell whether 2 equations ar…

they have the same slope

how can you tell whether 2 equations ar…

their slopes are opp. reciprocal.

System of equations

Linear system

Solution of a system

Consistent

Two or more related unknowns as a set of two or more equations

Consists of linear equations

A set of values for the variables that makes all the equations…

Dependent or independent answers

System of equations

Two or more related unknowns as a set of two or more equations

Linear system

Consists of linear equations

Inequality

Roster Form

set-builder notation

Universal set

Contains any combination of numbers, variables, operations

Lists the elements of a set in braces

Describes the properties an element must have to be included i…

The largest set

Inequality

Contains any combination of numbers, variables, operations

Roster Form

Lists the elements of a set in braces

Inverse Operations

Equivalent Equations

Addition Property of Equality

Subtraction Property of Equality

Two operations that undo each other, such as addition and subt…

Equations that have the same solutions.

Adding the same number to each side of an equation produces an…

Subtracting the same number from each side of an equation prod…

Inverse Operations

Two operations that undo each other, such as addition and subt…

Equivalent Equations

Equations that have the same solutions.

Closed Set

Coefficient

Constant term

difference of squares

A set of numbers is said to be closed under an operation if th…

When variable(s) are multiplied by a number, the number is cal…

A number that is not multiplied by a variable.

A polynomial that can be factored as the product of the sum an…

Closed Set

A set of numbers is said to be closed under an operation if th…

Coefficient

When variable(s) are multiplied by a number, the number is cal…

Arithmetic Sequence

Common Difference

Constant

Constant of Variation

A numerical pattern that increases or decreases at a constant…

The difference between the terms in an arithmetic sequence.

A monomial that is a real number.

The number K in equations of the form y=Kx

Arithmetic Sequence

A numerical pattern that increases or decreases at a constant…

Common Difference

The difference between the terms in an arithmetic sequence.

Equation for arithmetic sequence

what makes an equation linear?

What is standard form?

When solving for the x intercept what d…

an = a + (n - 1) d... a = first term in sequence... d = common diffe…

No exponents higher than 1 ... No multiplication or division of v…

Ax + By = C

y = 0

Equation for arithmetic sequence

an = a + (n - 1) d... a = first term in sequence... d = common diffe…

what makes an equation linear?

No exponents higher than 1 ... No multiplication or division of v…

Relation

Function

Input

Output

A set of ordered pairs. Inputs can have different outputs (1 t…

A relation where every input has ONLY 1 unique output, but dif…

X, domain, independent variables

Y, range, dependent variables

Relation

A set of ordered pairs. Inputs can have different outputs (1 t…

Function

A relation where every input has ONLY 1 unique output, but dif…