# Study sets matching "1 algebra linear inequalities"

Study sets

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Inequality

Set-Builder Notation

Compound Inequality

Intersection

A mathematical sentence that contains less than, greater than,…

The expression of the solution set of an inequality, for examp…

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

Where the graphs of two inequalities overlap.

Inequality

A mathematical sentence that contains less than, greater than,…

Set-Builder Notation

The expression of the solution set of an inequality, for examp…

Domain of a function

Elimination

Independent variable

Output

all the possible x-values of a function (The domain of this si…

used to solve a system of equations by adding the two equation…

the variable (input) that determines the dependent variable (o…

the y-values (range) of a situation (6 and 6.50 are the output…

Domain of a function

all the possible x-values of a function (The domain of this si…

Elimination

used to solve a system of equations by adding the two equation…

parallel lines

perpendicular lines

linear inequality in two variables

solution of an inequality in two variab…

Two different non-vertical lines that have the same slope

Two non-vertical lines in the same plane whose slopes have a p…

Can be written in one of the following forms: Ax + By < C, Ax…

One or more ordered pairs that make the inequality true.

parallel lines

Two different non-vertical lines that have the same slope

perpendicular lines

Two non-vertical lines in the same plane whose slopes have a p…

Arithmetic sequence

Coefficient

Constant

Constant of proportionality

A sequence where each term is the sum of the previous term and…

A number used to multiply a variable

A fixed value within an equation or expression (a number or le…

A constant multiplier, k, used to define the proportional rela…

Arithmetic sequence

A sequence where each term is the sum of the previous term and…

Coefficient

A number used to multiply a variable

inequality

solution of an inequality

solution set

graph of an inequality

a mathematical sentence that compares quantities

a value that makes the inequality true

the set of all solutions of an inequality

shows the solution set on a number line

inequality

a mathematical sentence that compares quantities

solution of an inequality

a value that makes the inequality true

Linear Inequality

Solution of a linear inequality

Step 1

Step 2

Similar to a linear equation, but the equal sign is replaced w…

Any ordered pair that makes the inequality true.

Solve the inequality for y (slope-intercept form).

Graph the boundary line. Use a solid line for ≤ or ≥. Use a da…

Linear Inequality

Similar to a linear equation, but the equal sign is replaced w…

Solution of a linear inequality

Any ordered pair that makes the inequality true.

Domain of a function

Elimination

Independent variable

Output

all the possible x-values of a function (The domain of this si…

used to solve a system of equations by adding the two equation…

the variable (input) that determines the dependent variable (o…

the y-values (range) of a situation (6 and 6.50 are the output…

Domain of a function

all the possible x-values of a function (The domain of this si…

Elimination

used to solve a system of equations by adding the two equation…

system of linear equations

solution of a system

elimination method

substitution method

Two or more linear equations using the same variables.

Any ordered pair (x,y) that makes both equations true in a sys…

A method for solving systems by adding or subtracting equation…

A method for solving systems by replacing one variable with an…

system of linear equations

Two or more linear equations using the same variables.

solution of a system

Any ordered pair (x,y) that makes both equations true in a sys…

inequalities

set builder notation

compound inequalities

union

a mathematical sentence involving <, >, or = plus < or >

a notation used to describe the members of a set

Two inequalities that are combined into one statement by the w…

The graph of a compound inequality containing "or".

inequalities

a mathematical sentence involving <, >, or = plus < or >

set builder notation

a notation used to describe the members of a set

linear equation

slope

Types of Slope

y-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

The value of the output when the input is zero (0, y). The poi…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

linear equation

slope

y-intercept

x-intercept

An equation in two variables whose graph in a coordinate plane…

A ratio comparing the change in output over the change in inpu…

The value of the output when the input is zero (0, y). The poi…

The value of the input when the output is zero (x, 0). The poi…

linear equation

An equation in two variables whose graph in a coordinate plane…

slope

A ratio comparing the change in output over the change in inpu…

systems of equations

consistent system of equations

Independent system of equations

dependent system of equations

Set of equations with the same variable

A system of equations that is said to have exactly one solutio…

A consistent system of equations with exactly one solution

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

systems of equations

Set of equations with the same variable

consistent system of equations

A system of equations that is said to have exactly one solutio…

function

constant function

identity function

quadratic function

...

f(x)=a ----- where a is any number; horizontal line

f(x)=x ----- which passes through all points coordinates (a,a)…

f(x)=x^2 --- graph is symmetrical and is the parent function o…

function

...

constant function

f(x)=a ----- where a is any number; horizontal line

coordinate plane

origin

x-axis

y-axis

the grid created by the horizontal x-axis and the vertical y-a…

(0,0) in the coordinate plane; center of the grid

the horizontal number line in the coordinate plane (left to ri…

the vertical number line in the coordinate plane (up and down)

coordinate plane

the grid created by the horizontal x-axis and the vertical y-a…

origin

(0,0) in the coordinate plane; center of the grid

Absolute Value

Algebraic Expression

Coefficient

Constant

the magnitude of a real number without regard to its sign - th…

A mathematical phrase that can contain constants, variables (l…

The constant that multiplies the variable in a mathematical ex…

A value that does not vary.

Absolute Value

the magnitude of a real number without regard to its sign - th…

Algebraic Expression

A mathematical phrase that can contain constants, variables (l…

Reciprocals

What is an example of a reciprocal?

How do you find the reciprocal of a fra…

Multiplicative property

Two numbers are reciprocals of each other if, when multiplied…

Example: (5/7) * (7/5) = 1, meaning those two numbers are reci…

You flip the numerator and denominator.

States that a number multiplied by its reciprocal will always…

Reciprocals

Two numbers are reciprocals of each other if, when multiplied…

What is an example of a reciprocal?

Example: (5/7) * (7/5) = 1, meaning those two numbers are reci…

CHORD

CIRCLE

LINEAR EQUATION IN STANDARD FORM

MIDPOINT

A LINE SEGMENTWITH END POINTS ON A CIRCLE.

A GEOMETRIC FIGURE CONSISTING OF ALL POINTS P THAT ARE FIXED D…

THE FORM AX+BY=C OF A LINEAR EQUATION.

A POINT ON A LINE SEGMENT THAT IS EDUIDISTANT FROM THE END POI…

CHORD

A LINE SEGMENTWITH END POINTS ON A CIRCLE.

CIRCLE

A GEOMETRIC FIGURE CONSISTING OF ALL POINTS P THAT ARE FIXED D…