# Study sets matching "algebra ii honors chapter 3"

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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

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

When two terms with the same variable a…

What is the dividend?

What is the divisor?

Give an example of solving by synthetic…

The exponents get added together

The polynomial under the division 'house'... Usually the longer p…

The polynomial outside the division 'house'... Usually the shorte…

When two terms with the same variable a…

The exponents get added together

What is the dividend?

The polynomial under the division 'house'... Usually the longer p…

system of equations

If (2,1) is a solution of both equation…

What are the 3 possible outcomes of gra…

How do you list the solution of coincid…

A set of equations.

an apparent solution

intersecting lines, parallel lines, or coincident lines

{ (x,y) | ax+by=c }

system of equations

A set of equations.

If (2,1) is a solution of both equation…

an apparent solution

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

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

Function of two variables

Linear Combination

Linear Equation in three variables

Linear Programming

A relationship in which one variable depends on two other vari…

If neither variable has a coefficient of 1 or -1

x,y, and z in an equation form where a, b, c are not all zero

The process of optimizing a linear objective function subject…

Function of two variables

A relationship in which one variable depends on two other vari…

Linear Combination

If neither variable has a coefficient of 1 or -1

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 ______ _____…

break-even point

systems of equations

consistent

inconsistent

the point at which the income equals the cost

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 no ordered pair that satisfies both…

break-even point

the point at which the income equals the cost

systems of equations

a set of equations with the same variables

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.

Completing the square

Complex conjugates

Complex number

Constant term

A process used to make a quadratic expression into a pergevt s…

Two complex number of the form a+bi and a-bi

Any number that can be written innthe form a+bi, where a and b…

In f(x)= ax^2 + bx + c, c is the ___________

Completing the square

A process used to make a quadratic expression into a pergevt s…

Complex conjugates

Two complex number of the form a+bi and a-bi

system of equations

linear system

solution of a system

one solution

a set of two or more equations using the same variables

a set of two or more linear equations that use the same variab…

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

intersect at one point

system of equations

a set of two or more equations using the same variables

linear system

a set of two or more linear equations that use the same variab…

Absolute value

Axes

Base of a power

binomial

the distance from 0 on the number line

x & y axis intersecting at the origin (0,0)

the repeated factor of the power

a polynomial with 2 terms

Absolute value

the distance from 0 on the number line

Axes

x & y axis intersecting at the origin (0,0)

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…

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

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 System

a set of 2 or more equations

a system with linear equations

the set of values of the variable that makes all of the equati…

a system with at least one solution

System of Equations

a set of 2 or more equations

Linear System

a system with linear equations

Addition Property of Equality

Subtraction Property of Equality

Transformation by Substitution

Transformation by Addition

Substitute an equivalent expression for any expression in a gi…

Add the same real number to each side of a given equation.

Addition Property of Equality

Subtraction Property of Equality