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Inequality

More than (also Greater than)

Greater than or Equal To

Less than

A mathematical sentence (NOT AN EQUATION!) that shows the rel…

Larger than (but not equal to!)

Larger than, and can also be equal to

Smaller than... 3 < 8

Inequality

A mathematical sentence (NOT AN EQUATION!) that shows the rel…

More than (also Greater than)

Larger than (but not equal to!)

Inequality

Variable

Constant

Coefficient

A mathematical sentence that shows the relationship between q…

A letter or symbol used to represent a quantity that can chan…

A value that does not change.

A number multiplied by a variable in an algebraic expression.

Inequality

A mathematical sentence that shows the relationship between q…

Variable

A letter or symbol used to represent a quantity that can chan…

Boundary

Compound Inequality

Inequality

Intersection

A line or curve that separates the coordinate plane into regi…

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

An open sentence that contains the symbol ˂, >, ≤, or ≥

The graph of a compound inequality containing and; the soluti…

Boundary

A line or curve that separates the coordinate plane into regi…

Compound Inequality

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

Equation

Inequality

Reverse

<

A mathematical sentence setting 2 expressions equal

A mathematical sentence comparing 2 unequal expressions

To change direction

Symbol for less than

Equation

A mathematical sentence setting 2 expressions equal

Inequality

A mathematical sentence comparing 2 unequal expressions

Equation

Inequality

Reverse

Constant

A mathematical sentence setting 2 expressions equal

A mathematical sentence comparing 2 unequal expressions

To change direction

The number added to x, in an expression

Equation

A mathematical sentence setting 2 expressions equal

Inequality

A mathematical sentence comparing 2 unequal expressions

Equation

Inequality

Reverse

<

A mathematical sentence setting 2 expressions equal

A mathematical sentence comparing 2 unequal expressions

To change direction

Symbol for less than

Equation

A mathematical sentence setting 2 expressions equal

Inequality

A mathematical sentence comparing 2 unequal expressions

Solution of an inequality

Equivalent inequalities

Roster form

Set-builder notation

Any value or values of a variable in the inequality that make…

Inequalities that have the same set of solutions.

A notation for listing all of the elements in a set using set…

A notation used to describe the elements of a set.

Solution of an inequality

Any value or values of a variable in the inequality that make…

Equivalent inequalities

Inequalities that have the same set of solutions.

Inequality

Sub. Prop. Of inequality

Set builder notation

Mult. Prop. Of inequality

An open sentence that contains <,>,greater than or equal to,…

If the same number is subtracted from both sides of a true in…

A more concise way of writing a solution

If a>b and c>0, then ac>bc. If a>b and c<0, then ac<bc

Inequality

An open sentence that contains <,>,greater than or equal to,…

Sub. Prop. Of inequality

If the same number is subtracted from both sides of a true in…

solution of an inequality

equivalent inequalities

Addition Property of Inequality

Subtraction Property of Inequality

any number that makes the inequality true

inequalities with the same solutions

solution of an inequality

any number that makes the inequality true

equivalent inequalities

inequalities with the same solutions

y=2x+1... x+y=7

x+4y=32... y=1/4x+6

x=3y+1... 2x-5y= -4

2(4x-3y= -1)... -3(3x-2y=2)

x+2x+1=7... 3x=6... x=2... y=2(2)+1=5... (2,5)

x+4(1/4x+6)=32... x+x+24=32... 2x=8... x=4... y=1/4(4)+6=7... (4,7)

2(3y+1)-5y= -4... 6y+2-5y= -4... y+2= -4... y= -6... x=3(-6)+1... x= -17... (-1…

8x-6y= -2... - 9x+6y= -6... ----------------... -x= -8... x=8... 3(8)-2y=2... -…

y=2x+1... x+y=7

x+2x+1=7... 3x=6... x=2... y=2(2)+1=5... (2,5)

x+4y=32... y=1/4x+6

x+4(1/4x+6)=32... x+x+24=32... 2x=8... x=4... y=1/4(4)+6=7... (4,7)

equation

linear equation

LHS

RHS

A mathematical statement that two expressions are equal.

an equation that contains a variable which is not raised to a…

"Left Hand Side."

Right Hand Side

equation

A mathematical statement that two expressions are equal.

linear equation

an equation that contains a variable which is not raised to a…

inequality

set-builder notation

multiplication property of inequalities

compound inequality

opens sentence with greater than, greater than or equal to, l…

concise way of writing a solution set

multiply

two or more inequalities connected by the word and, and or

inequality

opens sentence with greater than, greater than or equal to, l…

set-builder notation

concise way of writing a solution set

Tony has $850 in his savings account.…

The bus charges $5 for every 20 miles.…

Alex gets 5 tests back. Unfortunately,…

Joe is on a 1,500 calorie diet. He eat…

Any amount less than $510 ... (x < 510)

Yes... (x is less than or equal to 1 3/7)

Any number greater than 84% ... (x > 84)

Any number of bags less than or equal to 10 ... (x is less than…

Tony has $850 in his savings account.…

Any amount less than $510 ... (x < 510)

The bus charges $5 for every 20 miles.…

Yes... (x is less than or equal to 1 3/7)

Coordinate Plane

Standard Form of a Linear Equation

Literal Equation

Vertical Line

Ax + By = C (where A, B, and C are all integers and A and B a…

A formula or equation which consists primarily of variables.

Has an undefined slope. The equation of a vertical line has t…

Coordinate Plane

Standard Form of a Linear Equation

Ax + By = C (where A, B, and C are all integers and A and B a…

expression

equation

solution

linear equation

A mathematical phrase that contains operations, numbers, and/…

A mathematical sentence with an equal sign. The amount on one…

The value for a variable that makes an equation true. An equa…

An equation with 2 variables that results in a straight line…

expression

A mathematical phrase that contains operations, numbers, and/…

equation

A mathematical sentence with an equal sign. The amount on one…

Vasu has $20. She wants to spend at le…

Polina has 115 likes on a Instagram po…

Ross is a mean robber who wants to ste…

Inhye is given a math puzzle from her…

Inequality:... x_>10

Solution:... 115-78<_x... 37<_x... Polina must gain at least 37 likes.

Solution:... x_>200-(95+43)... x_>200-138... x_>62... Ross must steal at…

Solution:... 10 + 3x> x-6... 2x>-16... x>-8

Vasu has $20. She wants to spend at le…

Inequality:... x_>10

Polina has 115 likes on a Instagram po…

Solution:... 115-78<_x... 37<_x... Polina must gain at least 37 likes.

Literal Equation

Identity Property of Addition

Inverse Property of Addition

Commutative Property of Addition

A formula or equation which consists primarily of variables.

a + 0 = a

a + (-a) = 0

a + b = b + a

Literal Equation

A formula or equation which consists primarily of variables.

Identity Property of Addition

a + 0 = a

inequality

algebraic inequality

solution set

boundary point

a comparison of two quantities

an inequality that contains one or more variables

all the values that satisfy an equation or inequality

the number that would make the inequality statement EQUAL

inequality

a comparison of two quantities

algebraic inequality

an inequality that contains one or more variables

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 exam…

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 exam…

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

first differences

solution

intersection point

compound inequality

determined by calculating the difference between successive p…

any value that makes the open sentence true

the ordered pair that satisfies both functions at the same time

an inequality that is formed by the union, "or," or the inter…

first differences

determined by calculating the difference between successive p…

solution

any value that makes the open sentence true

variable

constant

numerical expression

algebraic expression

a symbol that is used to represent one or more numbers

a value that does not change

an expression that names a particular number; a numeral

contains variables, constants, etc.

variable

a symbol that is used to represent one or more numbers

constant

a value that does not change

Select the correct solution set.... 50 ≥…

Which of the following sets is equal t…

Choose the true statement about the gr…

Solve 2x - 8 < 7.

{x | x ≥ 10/3}... {x | x ≤ 10/3}... {x | x > 10/3}

Which of the following sets is equal to {1, 2, 3, ...}?

open circle on 1 and all numbers to the right shaded... closed c…

{x | x < 1/2}... {x | x > 1/2}... {x | x < 15/2}... {x | x > 15/2}

Select the correct solution set.... 50 ≥…

{x | x ≥ 10/3}... {x | x ≤ 10/3}... {x | x > 10/3}

Which of the following sets is equal t…

Which of the following sets is equal to {1, 2, 3, ...}?

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 that makes all of the inequalities in the sy…

A system of equations that has at least one solution is consi…

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 that makes all of the inequalities in the sy…

conjunction

disjunction

linear inequality

system of linear inequalities

Inequalities in one variable joined by "AND" that create a se…

Inequalities in one variable joined by "OR" that create arrow…

An inequality which involves a linear function containing <,…

The graphs of two linear inequalities using the same variables.

conjunction

Inequalities in one variable joined by "AND" that create a se…

disjunction

Inequalities in one variable joined by "OR" that create arrow…

No, a solution of an inequality is any…

Less than

Less than or equal to

Greater than

Is the solution of an inequality one number?

What does this symbol mean; <?

What does this symbol mean; ≤?

What does this symbol mean; >?

No, a solution of an inequality is any…

Is the solution of an inequality one number?

Less than

What does this symbol mean; <?

Which of the following has a solution…

What is the solution set of {x | x < 2…

Which of the following points satisfie…

Which of the following has a solution…

(x + 1 - 1 ≤ 1 - 1) ∩ (x + 1 - 1 ≥ 1 - 1) ... (x ≤ 0) ∩ ( x ≥ 0)…

all real numbers

2(-2) - 3(1) < 1 ... -4 - 3 < 1 ... -7 < 1 (True)

(x + 1 - 1 ≤ 1 - 1) ∩ (x + 1 - 1 ≥ 1 - 1) ... (x ≤ 0) ∩ ( x ≥ 0)…

Which of the following has a solution…

(x + 1 - 1 ≤ 1 - 1) ∩ (x + 1 - 1 ≥ 1 - 1) ... (x ≤ 0) ∩ ( x ≥ 0)…

What is the solution set of {x | x < 2…

all real numbers

KEY

D33

D37

DS42

KEY

D33

Closed Circle

Inequality

Infinite

Open Circle

A circle filled in to show that the point is a part of the so…

Sentence showing the relationship between two numbers or equa…

Increasing or decreasing without end

A circle not filled in to show that the point is a border val…

Closed Circle

A circle filled in to show that the point is a part of the so…

Inequality

Sentence showing the relationship between two numbers or equa…

5x + 8 > 6

5(x + 8) > 6

8x + 5 ≤ -1

8(x + 5) ≤ -1

five times a number, increased by eight is more than six

five times the sum of a number and eight is greater than six

five more than eight times a number is less than or equal to…

eight times the sum of a number and five is no more than

5x + 8 > 6

five times a number, increased by eight is more than six

5(x + 8) > 6

five times the sum of a number and eight is greater than six

Inequalities

Signs of Inequalities

Types of Inequalities

Linear Inequality

The relation between two expressions that are not equal, empl…

< and > are used open circle.... ≤ and ≥ are used closed circle.

There are two types of Inequalities - Linear Inequalities and…

A Linear inequality is an inequality which involves a linear…

Inequalities

The relation between two expressions that are not equal, empl…

Signs of Inequalities

< and > are used open circle.... ≤ and ≥ are used closed circle.

>

<

≤

≥

Is more than, exceeds, ... is greater than, ... is over

Is less than,... is under

Is at most,... has a maximum value of, is not greater than,... does…

Is at least l, ... has a minimum value of, is not less than,... is…

>

Is more than, exceeds, ... is greater than, ... is over

<

Is less than,... is under