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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 LEFT-RIGHT WHICHEVER COMES FIRST
4 ADDITION
SUBTRACTION

FROM LEFT-RIGHT 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(b-c) = ab - ac
(b+c)a = ba + ca
(b-c)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