# Study sets matching "1 algebra linear inequalities"

coefficient

distributive property

equation

inequality

the numerical part of a term

for any numbers a, b, and c: a(b+c) = ab+bc

a mathematical sentence showing two expressions are equal

mathematical sentences having the symbols <,>

coefficient

the numerical part of a term

distributive property

for any numbers a, b, and c: a(b+c) = ab+bc

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…

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…

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…

Addition property of equality

Subtraction property of equality

Multiplication property of equality

Division property of equality

Add the same quantity (amount) to both sides, and the equation…

Subtract the same quantity (amount) from both sides, and the e…

Multiply both sides of an equation by the same quantity (amoun…

Divide both sides of an equation by the same quantity (amount)…

Addition property of equality

Add the same quantity (amount) to both sides, and the equation…

Subtraction property of equality

Subtract the same quantity (amount) from both sides, and the e…

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.

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

Sean began jogging to live a healthier…

What are the possible steps involved in…

Mustafa's soccer team is planning a sch…

Consider the equation 3p - 7 + p = 13.…

miles he runs

Distribute 1.2 to 6.3 and -7x . Combine 3.5 and 7.56.... Subtract…

5n - 300 = 1,500

4p - 7 = 13

Sean began jogging to live a healthier…

miles he runs

What are the possible steps involved in…

Distribute 1.2 to 6.3 and -7x . Combine 3.5 and 7.56.... Subtract…

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…

Linear Inequality

Signs

Plotting a Number Line

Peculiarity #1

inequality which involves a linear function.

Signs will vary from > (greater than), < (smaller than), ≥ (gr…

While plotting a number line, when a number is greater or smal…

when dividing or multiplying by a negative, the sign of the in…

Linear Inequality

inequality which involves a linear function.

Signs

Signs will vary from > (greater than), < (smaller than), ≥ (gr…

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

equation

expression

inequality

like terms

a combination of numbers, variables, operation symbols and an…

a combination of numbers, variables, operation symbols

a combination of numbers, variables, operation symbols and an…

terms that have the same variables raised to the same exponents

equation

a combination of numbers, variables, operation symbols and an…

expression

a combination of numbers, variables, operation symbols

Inequality

Set-builder notation

Compound Inequality

Intersection

An open sentence that contains <, >, ≤, or ≥.

A concise way of writing a solution set.

Two or more inequalities that are connected by the words "and"…

The graph of a compound inequality containing "and"; the solut…

Inequality

An open sentence that contains <, >, ≤, or ≥.

Set-builder notation

A concise way of writing a solution set.

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…

System of Linear Equations

Solution for a System

Infinitely many solutions

Linear Combination

two or more linear equations.

The point of intersection where the lines cross always in the…

When the system of equations have the same slope and y-interce…

It uses addition, subtraction or multiplication to eliminate o…

System of Linear Equations

two or more linear equations.

Solution for a System

The point of intersection where the lines cross always in the…

x<-9

8

(1, 1)

x<2 or x >20

Solve this inequality:... (hint: flip the symbol when you ÷ or ×…

Solve for x:... 4(x-5)=12

What is the solution?... (hint: 2nd, CALC, 5, enter, enter, enter…

Solve this compound "or" inequality:... 5x<10 or .5x>10

x<-9

Solve this inequality:... (hint: flip the symbol when you ÷ or ×…

8

Solve for x:... 4(x-5)=12

Equation

Solution Set of an Equation

Linear Equation in One Variable

Identity

Mathematical statement that two expressions are equivalent

The value or values of the variable that make the equation true

Can be written in the form ax = b, where a and b are constants…

An equation that is true for all values... Example: x = x

Equation

Mathematical statement that two expressions are equivalent

Solution Set of an Equation

The value or values of the variable that make the equation 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…

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