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45 Cards in this Set
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ALGEBRA

A branch of mathematics that involves expressions with variables.


ALGEBRAIC EXPRESSION

An expression that contains variables, numbers, and at least one operation.


ASSOCIATIVE PROPERTY

The way in which three numbers are grouped when they are added or multiplied does not change their sum or product.
Ex: (2+3)+4 = 2+(3+4) 

BASE

The common factor in a number expressed as a power.


COEFFICIENT

The numerical factor of a term that contains a variable.
Ex: 3 in the term 3n 

COMMUTATIVE PROPERTY

The order in which two numbers are added or multiplied does not change their sum or product. Ex: 2(3)=3(2) or 2+3=3+2


CONSTANT

A term that does not contain a variable. Ex: 4 in the expression 3m + 2h + 4


DEFINING THE VARIABLE

Choosing a variable to represent one of the unknowns. Ex: Let t = time it takes to run a race


DISTRIBUTIVE PROPERTY

Tells you how to multiply a sum by a number. You multiply every number inside the parenthesis by the number outside the parenthesis ( ). Ex:5(2+3)=5(2)+5(3)=10+15=25


VARIABLE

A placeholder, usually a letter of the alphabet.


FACTORS

Two or more numbers that are multiplied together to form a product.


EXPONENT

Tells how many times the base number is used as a factor.


POWERS

Numbers expressed using exponents.


EVALUATE

To find the value of.


STANDARD FORM

Numbers written without exponents.


EXPONENTIAL FORM

Numbers written with exponents.


NUMERICAL EXPRESSION

Expressions that contain numbers and at least one operation.
Ex: 3(4+8) 

PEMDAS (Order of Operations)

Agreed upon steps to find the values of expressions. Rules to ensure that numerical expressions have only one value.


TERM (Expressions)

When plus or minus signs separate an algebraic expression into parts. Ex: 2t in the expression 2t + 3m  2


EQUATION

A sentence in mathematics that contains an equals sign.


SOLUTION

A number that makes an equation true.


SOLVING AN EQUATION

The process of finding a solution. Solving an equation usually involves steps that allows you to work backwards to find the answer.


EQUIVALENT EXPRESSIONS

Two expressions that have the same value.
Ex: 5(2+30) = 5(2) + 5(30) 

IDENTITY PROPERTY

The sum of an addend and zero is the addend. The product of a factor and one is the factor. Ex: 5(1) = 5 or 5 +0=5


TERM (Sequence)

Each number in a sequence.


SEQUENCE

An ordered list of numbers.


ARITHMETIC SEQUENCE

Each term in this sequence is found by adding the same number to the previous term.


GEOMETRIC SEQUENCE

Each term in this sequence is found by multiplying the previous term by the same number.


INTEGER

The set of positive numbers, their opposites and 0. Ex: {. . . 3, 2, 1, 0, 1, 2, 3, . . .}


NEGATIVE INTEGERS

Integers less than zero.


POSITIVE INTEGERS

Integers more than zero


ABSOLUTE VALUE

The distance a number is from 0 on the number line.


COMPARING NUMBERS

1) You compare two numbers using the number line.
2) The symbol always points to the smallest number. 3) LEFT means LESS on the number line. 

ORDERING NUMBERS

1) You order three or more numbers using the number line.
2) LEFT means LESS on the number line. 3) Pay attention to whether you are ordering from Least to Greatest or Greatest to Least. 

OPPOSITES

Two numbers that are the same distance from zero, but in opposite directions.
Ex: 4 and 4 

ADDITIVE INVERSES

Two integers that are opposites.
The sum of any number and its additive inverse is 0. Ex: 5 + (5) = 0 

ADDING INTEGERS with DIFFERENT SIGNS

Subtract the absolute values & take the sign of the larger or play GOOD GUYS vs BAD GUYS.
Whose gonna win & by how many? Ex: 4+ (7) = 3 

ADDING INTEGERS with SAME SIGNS

The sum of two positive integers is positive. Ex: 2 + 3 = 5
The sum of two negative integers is negative. Ex: 2 + (3) = 5 

SUBTRACTING INTEGERS

Add the opposite or
SAMECHANGESWITCH Ex: 3  (4) = 3 + (+4) = 7 

DIVIDING INTEGERS

RULE of SOCKS
If the signs match, the answer is positive. If the signs are different, then negative. 

MULTIPLYING INTEGERS

RULE of SOCKS
If the signs match, the answer is positive. If the signs are different, then negative. 

INVERSE OPERATIONS

Operations that "undo" one another.
Ex: 4 2. . . adding 2 "undoes" the subtracting 2. 

EQUATION

A mathematical sentence that states that two expressions are equal. Ex: 2x +4 = 10


TWOSTEP EQUATION

An equation that has two different operations and requires you to work backwards to "undo" the steps.


INEQUALITY

a mathematical sentence that contains the symbols <,>,less than or equal to, and greater than or equal to.
