# Study sets matching "algebra i chapter 6"

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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

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…

Graph of an inequality

Equivalent inequalities

Compound Inequality

Absolute value equation

set of points that represent all solutions of the inequality

inequalities that have same solution

consists of two separate inequalities joined by and or or

distance between a and 0 on the number line

Graph of an inequality

set of points that represent all solutions of the inequality

Equivalent inequalities

inequalities that have same solution

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

inconsistent

independent

two or more equations

a system of equations that has at least one solution

a system of equations that has no solution

a system of equations that has exactly one solution

system of equations

two or more equations

consistent

a system of equations that has at least one solution

Read this: x > 4

Read this: x <_ 8

How do you shade greater than on a numb…

How do you shade less than or equal to…

x is greater than 4

x is less than or equal to 8

open circle, shade right

closed circle, shade left

Read this: x > 4

x is greater than 4

Read this: x <_ 8

x is less than or equal to 8

elimination

solution of a linear inequality

solution of a system of equations

solution of a system of linear inequali…

solving a system of inequalities by adding or subtracting the…

the ordered pairs that makes an inequality true

any ordered pair that makes all of the equations in a system t…

the ordered pairs that make both inequalities in a system true

elimination

solving a system of inequalities by adding or subtracting the…

solution of a linear inequality

the ordered pairs that makes an inequality true

system of equations

consistent

independent

dependent

two or more equations with the same variables

a system of equations with at least one solution; the graphs o…

a consistent system with exactly one solution

a consistent system with an infinite number of solutions

system of equations

two or more equations with the same variables

consistent

a system of equations with at least one solution; the graphs o…

system of linear equations

solution of a system of linear equation

consistent system

independent system

Two or more linear equations using the same variables

Any ordered pair in a system that makes all the equations of t…

A system of equations that has at least one solution.

A system of equations that does have a unique solution.

system of linear equations

Two or more linear equations using the same variables

solution of a system of linear equation

Any ordered pair in a system that makes all the equations of t…

elimination

solution of a linear inequality

solution of a system of equations

solution of a system of linear inequali…

solving a system of inequalities by adding or subtracting the…

the ordered pairs that makes an inequality true

any ordered pair that makes all of the equations in a system t…

the ordered pairs that make both inequalities in a system true

elimination

solving a system of inequalities by adding or subtracting the…

solution of a linear inequality

the ordered pairs that makes an inequality true

elimination method

solution (linear equalities)

solution (linear inequalities)

substitution method

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

an ordered pair that makes all of the equations in a system tr…

an ordered pair that makes all of the inequalities in a system…

a way to solve a system of linear equations by solving for a v…

elimination method

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

solution (linear equalities)

an ordered pair that makes all of the equations in a system tr…

consistent

dependent

dimension

element

A sysem of equations that has at least one ordered pair that s…

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

The number of rows, m, and the number of columns, n, of a matr…

each object or number in a set.

consistent

A sysem of equations that has at least one ordered pair that s…

dependent

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

common ratio

compound interest

explicit rule

exponential decay

The ratio between each pair of consecutive terms in a geometri…

The interest earned on the principle and on previously earned…

A rule to define arithmetic and geometric sequences that gives…

When a quantity decreases by the same factor over equal interv…

common ratio

The ratio between each pair of consecutive terms in a geometri…

compound interest

The interest earned on the principle and on previously earned…

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…

common ratio

compound interest

explicit rule

exponential decay

The ratio between each pair of consecutive terms in a geometri…

The interest earned on the principle and on previously earned…

A rule to define arithmetic and geometric sequences that gives…

When a quantity decreases by the same factor over equal interv…

common ratio

The ratio between each pair of consecutive terms in a geometri…

compound interest

The interest earned on the principle and on previously earned…

System of linear equations

solution to a system of linear equations

consistent independent system

inconsistent system

Two or more linear equations in the same variables

An ordered pair that is a solution of each equation in the sys…

A linear system with exactly one solution. The graphs of the e…

A linear system with no solution. the graphs of the equations…

System of linear equations

Two or more linear equations in the same variables

solution to a system of linear equations

An ordered pair that is a solution of each equation in the sys…

degree of a monomial

degree of a polynomial

monomial

polynomial

the sum of the exponents of the variables in the monomial

the degree of the term of a polynomial with the greatest degree

a number or a product of numbers and variables with whole-numb…

a monomial, or a sum or difference of monomials

degree of a monomial

the sum of the exponents of the variables in the monomial

degree of a polynomial

the degree of the term of a polynomial with the greatest degree

common ratio

compound interest

explicit rule

exponential decay

The ratio between each pair of consecutive terms in a geometri…

The interest earned on the principle and on previously earned…

A rule to define arithmetic and geometric sequences that gives…

When a quantity decreases by the same factor over equal interv…

common ratio

The ratio between each pair of consecutive terms in a geometri…

compound interest

The interest earned on the principle and on previously earned…

Graph of Inequality

Equivalent Inequalities

Compound Inequality

Absolute Value Equation

A graph that shows all the solutions of an inequality on a num…

Inequalities that have the same solution

Two or more inequalities joined together by "and" or "or"

An equation that contains an absolute value expression

Graph of Inequality

A graph that shows all the solutions of an inequality on a num…

Equivalent Inequalities

Inequalities that have the same solution

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.

A method for solving a system of linear equation by adding or…

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.

System of Equations

Consistent

Inconsistent

Independent

two or more equations considered at the same time

when system has either one solution or infinitely many solutio…

when system has no solution

system with one solution

System of Equations

two or more equations considered at the same time

Consistent

when system has either one solution or infinitely many solutio…

nth root of a

radical

index of a radical

exponential function

For an integer n greater than 1, if b^n=a, then b is an nth ro…

An expression of the form n√a

The value of n in the radical n√a

A nonlinear function of the form y=ab^x, where a≠0, b≠1, and b…

nth root of a

For an integer n greater than 1, if b^n=a, then b is an nth ro…

radical

An expression of the form n√a

Rate of Change

Slope

Rise

Run

How one variable changes with respect to another; also known a…

The slantiness of a line; written like a fraction, change in y…

How the y-variable changes

How the x-variable changes

Rate of Change

How one variable changes with respect to another; also known a…

Slope

The slantiness of a line; written like a fraction, change in y…