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variable

inverse operations

isolate the variable

property of equality

A symbol (usually a letter) that represents an unknown quantity.

Operations that undo each other; adition and subtraction, or m…

To get a variable alone on one side of the equation in order t…

What you do to one side of the equation, you MUST do to the ot…

Addition property of opposites

Additive identity property of zero

Coefficient

Distributive property

The property that states that the sum of a number & its opposi…

The property that states the sum of zero & any number is that…

A number used to multiple a variable

The property that states if you multiply a sum by a number, yo…

Addition Property of Equality

Additive Inverse

Algebraic Expression

Equation

adding the same number to each side of an equation produces an…

Two numbers that when added together equal 0

A mathematical phrase involving at least one variable. Express…

A mathematical sentence that contains an equal sign

Inequality

Less than

Greater than

Not equal to

A mathematical statement formed by placing an inequality symbo…

Smaller in size, quantity, or amount; the symbol < stands for…

More than in size, quantity, or amount; the symbol > stands fo…

It's when the two numbers are not equal.

Constant

Algebraic Expression

Evaluate

Equation

A value in an expression that does not change.

An expression that contains at least one variable. It usually…

To find the value of an algebraic expression by substituting a…

A mathematical sentence that shows that two expressions are eq…

Variable

Constant

Algebraic Expression

Evaluate

A symbol (usually a letter) that represents an unknown quantity.

A value in an expression that does not change.

An expression that contains at least one variable. It usually…

To find the value of an algebraic expression by substituting a…

algebraic expression

coefficcient

common denominator

constant

An algebraic expression is a mathematical phrase that can cont…

a numerical or constant quantity placed before and multiplying…

a shared multiple of the denominators of several fractions.

occurring continuously over a period of time.

Variable

Inverse Operations

Isolate the Variable

Property of Equality

A symbol (usually a letter) that represents an unknown quantity.

Operations that undo each other; addition and subtraction, or…

To get a variable alone on one side of the equation in order t…

What you do to one side of the equation, you MUST do to the ot…

Variable

Constant

Algebraic Expression

Evaluate

A symbol (usually a letter) that represents an unknown quantity.

A value in an expression that does not change.

An expression that contains at least one variable. It usually…

To find the value of an algebraic expression by substituting a…

Inequality

Less than

Greater than

Not equal to

A mathematical statement formed by placing an inequality symbo…

Smaller in size, quantity, or amount; the symbol < stands for…

More than in size, quantity, or amount; the symbol > stands fo…

It's when the two numbers are not equal.

Inequality

Less than

Greater than

Not equal to

A mathematical statement formed by placing an inequality symbo…

Smaller in size, quantity, or amount; the symbol < stands for…

More than in size, quantity, or amount; the symbol > stands fo…

It's when the two numbers are not equal.

Equation

Expression

Constant

Coefficient

A mathematical sentence stating that two expressions are equal.

Numbers, symbols and operators (such as + and ×) grouped toget…

A fixed and well defined real number.

a multiplicative factor in some term of an expression.

Inequality

Less than

Greater than

Not equal to

A mathematical statement formed by placing an inequality symbo…

Smaller in size, quantity, or amount; the symbol < stands for…

More than in size, quantity, or amount; the symbol > stands fo…

It's when the two numbers are not equal.

Inequality

Less than

Greater than

Not equal to

A mathematical statement formed by placing an inequality symbo…

Smaller in size, quantity, or amount; the symbol < stands for…

More than in size, quantity, or amount; the symbol > stands fo…

It's when the two numbers are not equal.

Variable

Inverse Operations

Isolate the Variable

Property of Equality

A symbol (usually a letter) that represents an unknown quantity.

Operations that undo each other; adition and subtraction, or m…

To get a variable alone on one side of the equation in order t…

What you do to one side of the equation, you MUST do to the ot…

Distributive property

Commutative property of addition

Commutative property of multiplication

Associative property of addition

a•(b+c)=a•b+a•c... 3•(4+5)=3•4+3•5... VH: mutiplication distributes…

a+b=b+a... 3•4=4•3... VH: commute=to get up and move to a new locati…

a•b=b•a ... 3•4=4•3... VH: commute=to get up and move to a new locat…

a+(b+c)=(a+b)+c... 3+(4+5)= (3+4)+5... VH: regroup-elements do not p…

How do you simplify an algebraic expres…

What are like terms?

Are there any terms you can't combine?

What does "both sides of the equation m…

An example is 4(x+30)+5(6x-2). Distribute the 4 and the 5 to t…

Terms are parts of an algebraic expression like 2x, 6x to the…

Yes, you can't combine terms from different categories like 6x…

the answer and the expression (an expression is an equation wi…

Algebraic expression

coefficient

common denominator

constant

An algebraic expression is a mathematical phrase that can cont…

a numerical or constant quantity placed before and multiplying…

a shared multiple of the denominators of several fractions.

a constant is a number on its own, or sometimes a letter such…

Variable

Constant

Algebraic Expression

Evaluate

A symbol (usually a letter) that represents an unknown quantity.

A value in an expression that does not change.

An expression that contains at least one variable. It usually…

To find the value of an algebraic expression by substituting a…

zero-product property

polynomial equation

linear equation

quadratic equation

a product of factors is zero if and only one or more of the fa…

an equation whose sides are both polynomials

a polynomial equation whose term of highest degree has degree 1

a polynomial equation whose term highest degree has degree 2

algebraic expression

coefficient

common denominator

constant

an expression that contains at least one variable... examples: ... x…

the number that is multiplied by the variable in an algebraic…

a denominator that is the same in two or more fractions... exampl…

a value that does not change... example: 3, 0, π

Coefficient

Variable

Absolute Value

Operations

The number that is multiplied by the variable in an algebraic…

A letter used to represent one or more numbers

The distance a number is from zero on a number line. ALWAYS PO…

Addition, subtraction, multiplication, division, powers, radic…

What type of system has no solution?

The solution to a system of linear equa…

A dependent system has...

A point only has...

An inconsistent one, (parallel lines)

Ordinate pair (algebraically)

equations that are the same line (multiples of it) AND an infi…

location

Integer

GEMDAS

Variable

Constant

A whole number or its opposite... The larger integer is always fu…

Grouping... Exponent... Multiplication/division... Addition/subtraction

A letter or symbol that represents an unknown number: x, y, *…

A number with a fixed value: 4, -25, 3.6, 1 1/2 etc.

associative property

coefficient

combining like terms

commutative property

Changing the grouping of numbers will NOT change the value. Fo…

the number multiplied by the variable; 5X, then 5 is the coeff…

When two like variables (ex. 5 and 3 or 5x and 3x) are combine…

In mult or add, the order of two numbers may be switched aroun…