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57 Cards in this Set
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VARIABLE

A LETTER THAT REPRESENTS ONE OR MORE NUMBERS


ALGEBRAIC EXPRESSION

A MATHEMATICAL PHRASE THAT CAN INCLUDE NUMBERS, VARIABLES, AND OPERATIONAL SYMBOLS.


PRODUCT

MULTIPICATION


QUOTIENT

DIVISION


DIFFERENCE

SUBTRACTION


EQUATION

INCLUDES AND EQUAL SIGN.


4 MORE THAN P

MORE THAN INDICATES ADDITION
P + 4 

2 LESS THAN X

LESS THAN
INDICATES SUBTRACTION X  2 

EXPONENT

HOW MANY TIMES YOU MULTIPLY A BASE
3^2 2 IS THE EXPONENT 

BASE

NUMBER THAT IS BEING MULTIPLIED BY EXPONENT


POWER

CONTAINS BASE AND EXPONENT


ORDER OF OPERATIONS

PEMDAS
1.PARENTESIS 2.EXPONENTS 3.MULTIPLICATION DIVISION FROM LEFTRIGHT WHICHEVER COMES FIRST 4 ADDITION SUBTRACTION FROM LEFTRIGHT WHICHEVER COMES FIRST 

NATURAL NUMBERS

COUNTING NUMBERS
POSITIVE NUMBERS NO DECIMALS 1,2,3,4,5,6,.... 

WHOLE NUMBERS

STARTS FROM O AND INCLUDES ALL NATURAL NUMBERS.
NO DECIMALS 

INTEGERS

WHOLE NUMBERS AND ITS OPPOSITIES


RATIONAL NUMBERS

A NUMBER THAT CAN BE WRITTEN AS A FRACTION


IRRATIONAL NUMBERS

NUMBER THAT CANNOT BE EXPRESSED IN THE FORM OF A FRACTION
EXAMPLE: PI, SQUARE ROOT OF 10 

RATIONAL NUMBERS
IN DECIMAL FORM 
TERMINATING 3.5
REPEATING 2.3333 

COUNTEREXAMPLE

AN EXAMPLE THAT PROVES A STATEMENT FALSE


INEQUALITY

MATHEMATICAL SENTENCE THAT COMPARES VALUES USING SYMBOLS
< or > 

<

less than


>

greater than


ABSOLUTE VALUE

a number's distance from o on the number line


IDENTITY PROPERTY OF ADDITION

n + 0 = n
a number plus 0 equals the original number example: 5 + 0 =5, 5 + 0 =5 

INVERSE PROPERTY OF ADDITION

n + (n) = 0
example: 17 + (17)=0 

RULES FOR ADDING NUMBERS WITH THE SAME SIGN

1. add numbers
2. give answer the sign of numbers being added negative + negative = negative example : 3 + 4 = 7 Positive + positive = positive example: 3 + 4 = 7 

RULES FOR ADDING NUMBERS WITH THE DIFFERENT SIGN

1. subtract numbers
2. give answer sign of larger number example: 9 + 7 = 2 example: 9 + 7 = 2 

MATRIX

A RECTANGULAR ARRANGEMENT OR NUMBERS IN ROWS AND COLUMNS
ROWS ARE HORIZONTAL COLUMNS ARE VERTICAL 

EACH ITEM IN A MATRIX

ELEMENT


RULES FOR SUBTRACTING REAL NUMBERS

1. KEEP CHANGE CHANGE OR ADDING ITS OPPOSITE
2. FOLLOW ADDITION RULES EXAMPLE: 3  5 3 + +5 = 8 

RULES FOR MULTIPLYING AND DIVIDING NUMBERS WITH THE SAME SIGN

ANSWER IS POSITIVE
NEGATIVE X NEGATIVE = POSITIVE POSITIVE X POSITIVE = POSITIVE 

RULES FOR MULTIPLYING/DIVIDING NUMBERS WITH DIFFERENT SIGNS

ANSWER IS NEGATIVE
NEGATIVE X POSITIVE = NEGATIVE POSITIVE X NEGATIVE = NEGATIVE NEGATIVE / POSITIVE = NEGATIVE POSITIVE / NEGATIVE = NEGATIVE 

INVERSE PROPERTY OF MULTIPLICATION

a ( 1/a) = 1
a number multiplied by its recipocal is equal to 1 

RECIPOCAL OR MULTIPLICATIVE INVERSE

EXAMPLE: THE RECIPOCAL IS 4/3 IS 3/4


DIVISION WITH RECIPOCAL
EXAMPLE: 2/4 DIVIDED BY 3/5 
1. FIND RECIPOCAL OF SECOND NUMBER
2. CHANGE DIVISION TO MULTIPICATION 3. MULTIPLY 4. REDUCE IF NECESSARY 2/4 X 5/3 = 10/12 = 5/6 

DISTRIBUTIVE PROPERTY

a(b+c) = ab + ac
a(bc) = ab  ac (b+c)a = ba + ca (bc)a = ba  ca 

term

a number,variable, or the product of a number and one or more variable.
example: 6x + 3 6x = 1st term 3 = 2nd term 

constant

term without a variable


coefficient

number in front of variable
3a 3 is the coefficient 

Like terms

have the exact variable factors
x2 and 2x2 

not like terms

different variables and/or exponents
2xy and 2xy^2 are different terms 

the quantity

Put information is parentesis


Commmunative property of addition

a + b = b + a


communative property of multiplication

a * b = b * a


associative property of addition

(a * b)* c = a * (b * c)


Multiplication Property of Zero

0 X n= 0


Multiplication Property of 1

1 * n = n


deductive reasoning

justifying steps by using facts, properties, and rules to form a conclusion


x axis

horizonal axis


y axis

vertical axis


coordinate plane

two number lines intersect form this


origin

0,0


scatter plot

graph that compares data


positive correlation

both data being compared increase


negative correlation

one data increases while the other decreases


no correlation

data is not related


trend line

scatter plot shows a correlation more clearly
