# Study sets matching "algebra ii honors chapter 3"

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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

system of 2 linear equatons

solution of a system

substitution method

elimination method

A system consisting of two equations that can be written in th…

An ordered pair (x,y) that satisfies each equation of the syst…

A method of solving a system of equations by solving one of th…

A method of solving a system of equations by multiplying equat…

system of 2 linear equatons

A system consisting of two equations that can be written in th…

solution of a system

An ordered pair (x,y) that satisfies each equation of the syst…

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.

system of two linear equations

Solution of a System

Substitution method

Elimination Method

a system of two equations that can be written in the form Ax+B…

an ordered pair (x, y) that satisfies each equation of the sys…

a method of solving a system of equations by solving one of th…

a method of solving a system of equations by multiplying equat…

system of two linear equations

a system of two equations that can be written in the form Ax+B…

Solution of a System

an ordered pair (x, y) that satisfies each equation of the sys…

system of two linear eqautions

solution of a system

substitution method

elimination method

a system consisting of two equations that can be written in th…

an ordered pair (x,y) that satisfies each equation of the syst…

a method of solving a system of equations by solving one of th…

a method of solving a system of equations by multiplying equat…

system of two linear eqautions

a system consisting of two equations that can be written in th…

solution of a system

an ordered pair (x,y) that satisfies each equation of the syst…

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

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.

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 ______ _____…

Elimination method

System of equations

Dependent

Bounded

Eliminate one of the variable in a system of equations by addi…

A set of equation with the same variables

When a system of linear equations has an infinite number of so…

A region is _____ when the graph of a system of constraints is…

Elimination method

Eliminate one of the variable in a system of equations by addi…

System of equations

A set of equation with the same variables

polynomials

square a number

first difference

second difference

an expression of more than 2 algebraic terms.

...to multiply a number by itself or to raise it to the power…

Values obtained by subtracting each term in a sequence from it…

Differences that are found by subtracting consecutive first di…

polynomials

an expression of more than 2 algebraic terms.

square a number

...to multiply a number by itself or to raise it to the power…

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

absolute value

counterexample

independent system

vertices

a number's distance from zero on the number line

a specific case that shows that a statement is false

a system of equations that has exactly one solution

the maximum or minimum values that a linear function has for t…

absolute value

a number's distance from zero on the number line

counterexample

a specific case that shows that a statement is false

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.

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…

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…