#### Study sets matching "algebra i chapter 6"

#### Study sets matching "algebra i chapter 6"

elimination method

linear inequality

solution of a system of linear inequal…

solution of a system of linear equations

solving systems by adding or subtracting equations to elimina…

an inequality in two variables whose graph is a region of the…

a set of values that make all inequalities in a system true.…

a set of values that make all equations in a system true. [p.…

elimination method

solving systems by adding or subtracting equations to elimina…

linear inequality

an inequality in two variables whose graph is a region of the…

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

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

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 subt…

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]

Graph of Inequality

Equivalent Inequalities

Compound Inequality

Absolute Value Equation

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

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 nu…

Equivalent Inequalities

Inequalities that have the same solution

elimination method

linear inequality

solution of a system of linear inequal…

solution of a system of linear equations

solving systems by adding or subtracting equations to elimina…

an inequality in two variables whose graph is a region of the…

a set of values that make all inequalities in a system true.…

a set of values that make all equations in a system true. [p.…

elimination method

solving systems by adding or subtracting equations to elimina…

linear inequality

an inequality in two variables whose graph is a region of the…

consistent

dependent

elimination

inconsistent

a system of equations that has at least one ordered pair that…

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

the use of addition or subtraction to eliminate one variable…

a system of equations with no ordered pair that satisfy both…

consistent

a system of equations that has at least one ordered pair that…

dependent

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

system of equations

consistent

independent

dependent

two equations with the same variables

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

a consistent system with exactly one solution

a consistent system with an infinite number of solutions

system of equations

two equations with the same variables

consistent

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

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-num…

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

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…

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…

break-even point

system of linear equations

substitution method

consistent systems

the point when the cost and income are equal.

when two or more equations define a relationship between quan…

a process of solving system of equations by substituting a va…

systems that have one or many solutions

break-even point

the point when the cost and income are equal.

system of linear equations

when two or more equations define a relationship between quan…

Consistent system

Dependent system

Inconsistent system

Independent system

page 406 System with at least one solution.

page 407 System with infinitely many solutions.

page 406 System with no solution

page 407 System with exactly one solution

Consistent system

page 406 System with at least one solution.

Dependent system

page 407 System with infinitely many solutions.

elimination

solution of a linear inequality

solution of a system of equations

solution of a system of linear inequal…

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…

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

Addition Property of Inequalities

Division Property of Inequalities

Multiplication Property of Inequalities

Subtraction Property of Inequalities

If any number is added to each side of a true inequality, the…

If each side of a true inequality is divided by the same posi…

If each side of a true inequality is multiplied by the same p…

In any number is subtracted from each side of a true inequali…

Addition Property of Inequalities

If any number is added to each side of a true inequality, the…

Division Property of Inequalities

If each side of a true inequality is divided by the same posi…

equations

inequality

absolute value

graph of an equation

A statement formed when an equal sign is placed between two e…

A sentence formed when an inequality symbol is placed between…

|12| = 12 |-12|= 12

X

equations

A statement formed when an equal sign is placed between two e…

inequality

A sentence formed when an inequality symbol is placed between…

elimination method

linear inequality

solution of a system of linear inequal…

solution of a system of linear equations

solving systems by adding or subtracting equations to elimina…

an inequality in two variables whose graph is a region of the…

a set of values that make all inequalities in a system true.…

a set of values that make all equations in a system true. [p.…

elimination method

solving systems by adding or subtracting equations to elimina…

linear inequality

an inequality in two variables whose graph is a region of the…

elimination method

linear inequality

solution of a system of linear inequal…

solution of a system of linear equations

solving systems by adding or subtracting equations to elimina…

an inequality in two variables whose graph is a region of the…

a set of values that make all inequalities in a system true.…

a set of values that make all equations in a system true. [p.…

elimination method

solving systems by adding or subtracting equations to elimina…

linear inequality

an inequality in two variables whose graph is a region of the…

absolute value equation

correlation coefficient

line of the best fit

linear equation

a V-shape graph that points upwards or downwards is the graph…

the graphing calculator also gives you the correlation coeffi…

the trend line that shows the relationship between 2 sets of…

an equation whose graph is a line.

absolute value equation

a V-shape graph that points upwards or downwards is the graph…

correlation coefficient

the graphing calculator also gives you the correlation coeffi…

System of Linear Equations

Solution of a System of Linear Equations

Consistent

Independent

2 or more linear equations

an ordered pair that is true in every equation

a system of equations with at least one solution

a consistent system of equations with exactly one solution

System of Linear Equations

2 or more linear equations

Solution of a System of Linear Equations

an ordered pair that is true in every equation

elimination

solution of a linear inequality

solution of a system of equations

solution of a system of linear inequal…

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…

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

Consistent system

Dependent system

Inconsistent system

Independent system

A system with at least one solution

Has infinite solutions. Graph has two of the same lines

A system with no solutions

Has exactly one solution. Graph consists of two intersecting…

Consistent system

A system with at least one solution

Dependent system

Has infinite solutions. Graph has two of the same lines

6.2 index

6.3 monomial

6.3 degree of a monomial

6.3 polynomial

the small number to the left of the radical symbol that tells…

a number, a variable, or a product of numbers and variables w…

the sum of the exponents of the variables

a monomial or a sum or difference of monomials

6.2 index

the small number to the left of the radical symbol that tells…

6.3 monomial

a number, a variable, or a product of numbers and variables w…

consistent

dependent

elimination

inconsistent

When the graphs of a system of equations intersect or coincide.

A system of equations with an infinite number of solutions.

Solving systems of equations by adding the two equations toge…

A system of equations with no ordered pairs that satisfy the…

consistent

When the graphs of a system of equations intersect or coincide.

dependent

A system of equations with an infinite number of solutions.

common ratio

compound interest

explicit rule

exponential decay

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

The interest earned on the principle and on previously earned…

A rule to define arithmetic and geometric sequences that give…

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

common ratio

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

compound interest

The interest earned on the principle and on previously earned…

Consistent

Dependent

Elimination

Inconsistent

A system of equations that has at least one ordered pair that…

A system of equations that has an infinite number of solutions

The use of additions or subtraction to eliminate one variable…

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

Consistent

A system of equations that has at least one ordered pair that…

Dependent

A system of equations that has an infinite number of solutions

composite function

index of a radical

inverse function

inverse relation

a function formed by evaluating one function with another fun…

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 v…

composite function

a function formed by evaluating one function with another fun…

index of a radical

the part of a radical that gives the degree of the root.

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 r…

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…

nth root of a

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

radical

An expression of the form n√a

Graph of Inequality

Equivalent Inequalities

Compound Inequality

Absolute Value Equation

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

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 nu…

Equivalent Inequalities

Inequalities that have the same solution

system of equations

consistent

independent

dependent

the two equations y=3x+600 and y=15x form a system of equations

the system has at least on solution

a consistent system has exactly one independent

a infinite number of solutions

system of equations

the two equations y=3x+600 and y=15x form a system of equations

consistent

the system has at least on solution

Consistent

Dependent

Elimination

Inconsistent

A system of equations that has at least one solution. The gra…

A consistent system of equations that has an infinite number…

The use of addition or subtraction of equations to eliminate…

A system of equations that has no solution. The graphs of the…

Consistent

A system of equations that has at least one solution. The gra…

Dependent

A consistent system of equations that has an infinite number…

consistent

dependent

elimination

inconsistent

a system of equations that has at least one ordered pair that…

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

the use of addition or subtraction to eliminate one variable…

a system of equations with no ordered pair that satisfy both…

consistent

a system of equations that has at least one ordered pair that…

dependent

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

System of Linear Equations

Solution of a System of Linear Equations

Consistent

Independent

Two equations that are together in one problem

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

Has at least one ordered pair that satisfies two equations

Consistent equation that has exactly one solution

System of Linear Equations

Two equations that are together in one problem

Solution of a System of Linear Equations

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

Quadratic formula

Radical

Radical sign

Radicand

A formula for solving a quadratic equation. The formula is x=…

Expression that has a route (square root, cube root etc.) for…

The symbol that shows a number is a radical for example, in ✅…

The number that appears with a radical sign For example in ✅9…

Quadratic formula

A formula for solving a quadratic equation. The formula is x=…

Radical

Expression that has a route (square root, cube root etc.) for…

Residual Plot

Slope

Outlier

R-Squared

created to analyze the appropriateness of a best-fit model

a ratio that describes how steep or flat a line is

a piece of data that does not seem to fit into the overall pa…

a measure of the strength of a linear relationship

Residual Plot

created to analyze the appropriateness of a best-fit model

Slope

a ratio that describes how steep or flat a line is

common ratio

compound interest

explicit rule

exponential decay

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

The interest earned on the principle and on previously earned…

A rule to define arithmetic and geometric sequences that give…

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

common ratio

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

compound interest

The interest earned on the principle and on previously earned…

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 in a system that makes all the equations of…

A system of equations that has at least one solution

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 in a system that makes all the equations of…

common ratio

compound interest

explicit rule

exponential decay

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

The interest earned on the principle and on previously earned…

A rule to define arithmetic and geometric sequences that give…

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

common ratio

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

compound interest

The interest earned on the principle and on previously earned…

Consistent

Dependent

Elimination

Inconsistent

a system of equations that has at least one ordered pair that…

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

the use of addition or subtraction to eliminate one variable…

a system of equations with no ordered pairs that satisfy the…

Consistent

a system of equations that has at least one ordered pair that…

Dependent

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

Common ratio

explicit rule

Exponential decay

exponential growth

The ratio between consecutive terms of a geometric sequence

A rule to define arithmetic and geometric sequences that give…

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

when a quantity increases by the same factor over equal inter…

Common ratio

The ratio between consecutive terms of a geometric sequence

explicit rule

A rule to define arithmetic and geometric sequences that give…

nth root

principal root

index

radicand

for any real numbers "a" and "b", and any positive integer "n…

when a radical has two answers , the positive answer

in a radical, it indicates the degree of the root

the number underneath the radical

nth root

for any real numbers "a" and "b", and any positive integer "n…

principal root

when a radical has two answers , the positive answer

composite function

index

inverse function

inverse relation

a function formed by evaluating one function with another fun…

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 v…

composite function

a function formed by evaluating one function with another fun…

index

the part of a radical that gives the degree of the root.

Inner Product

Norm

normalize

distance

vector u (dot) vector v ... (u)^T * v

Length (Double bars) square root of the inner product, square…

Make a vector length 1. v/norm(v)

norm(vector u - vector v)

Inner Product

vector u (dot) vector v ... (u)^T * v

Norm

Length (Double bars) square root of the inner product, square…

Write an equation that passes through…

Write an equation for the linear funct…

________ lines have the same slope and…

__________ lines have opposite recipro…

y=7x-19

y=-1/4x-2

Parallel

Perpendicular

Write an equation that passes through…

y=7x-19

Write an equation for the linear funct…

y=-1/4x-2

What is the solution of -5x+y=0 and 5x…

What is the solution of x-y=3 and x+2y…

What is the solution of 2x+4y=16 and 2…

What is the solution of x+2y=8 and 2x+…

(1,5)

(0,-3)

no solution

infinitely many solutions

What is the solution of -5x+y=0 and 5x…

(1,5)

What is the solution of x-y=3 and x+2y…

(0,-3)