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57 Cards in this Set
- Front
- Back
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VARIABLE
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A LETTER THAT REPRESENTS ONE OR MORE NUMBERS
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ALGEBRAIC EXPRESSION
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A MATHEMATICAL PHRASE THAT CAN INCLUDE NUMBERS, VARIABLES, AND OPERATIONAL SYMBOLS.
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PRODUCT
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MULTIPICATION
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QUOTIENT
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DIVISION
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DIFFERENCE
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SUBTRACTION
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EQUATION
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INCLUDES AND EQUAL SIGN.
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4 MORE THAN P
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MORE THAN INDICATES ADDITION
P + 4 |
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2 LESS THAN X
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LESS THAN
INDICATES SUBTRACTION X - 2 |
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EXPONENT
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HOW MANY TIMES YOU MULTIPLY A BASE
3^2 2 IS THE EXPONENT |
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BASE
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NUMBER THAT IS BEING MULTIPLIED BY EXPONENT
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POWER
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CONTAINS BASE AND EXPONENT
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ORDER OF OPERATIONS
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PEMDAS
1.PARENTESIS 2.EXPONENTS 3.MULTIPLICATION DIVISION FROM LEFT-RIGHT WHICHEVER COMES FIRST 4 ADDITION SUBTRACTION FROM LEFT-RIGHT WHICHEVER COMES FIRST |
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NATURAL NUMBERS
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COUNTING NUMBERS
POSITIVE NUMBERS NO DECIMALS 1,2,3,4,5,6,.... |
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WHOLE NUMBERS
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STARTS FROM O AND INCLUDES ALL NATURAL NUMBERS.
NO DECIMALS |
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INTEGERS
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WHOLE NUMBERS AND ITS OPPOSITIES
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RATIONAL NUMBERS
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A NUMBER THAT CAN BE WRITTEN AS A FRACTION
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IRRATIONAL NUMBERS
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NUMBER THAT CANNOT BE EXPRESSED IN THE FORM OF A FRACTION
EXAMPLE: PI, SQUARE ROOT OF 10 |
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RATIONAL NUMBERS
IN DECIMAL FORM |
TERMINATING 3.5
REPEATING 2.3333 |
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COUNTEREXAMPLE
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AN EXAMPLE THAT PROVES A STATEMENT FALSE
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INEQUALITY
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MATHEMATICAL SENTENCE THAT COMPARES VALUES USING SYMBOLS
< or > |
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<
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less than
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>
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greater than
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ABSOLUTE VALUE
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a number's distance from o on the number line
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IDENTITY PROPERTY OF ADDITION
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n + 0 = n
a number plus 0 equals the original number example: 5 + 0 =5, -5 + 0 =-5 |
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INVERSE PROPERTY OF ADDITION
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n + (-n) = 0
example: 17 + (-17)=0 |
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RULES FOR ADDING NUMBERS WITH THE SAME SIGN
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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 |
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RULES FOR ADDING NUMBERS WITH THE DIFFERENT SIGN
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1. subtract numbers
2. give answer sign of larger number example: -9 + 7 = -2 example: 9 + -7 = 2 |
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MATRIX
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A RECTANGULAR ARRANGEMENT OR NUMBERS IN ROWS AND COLUMNS
ROWS ARE HORIZONTAL COLUMNS ARE VERTICAL |
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EACH ITEM IN A MATRIX
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ELEMENT
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RULES FOR SUBTRACTING REAL NUMBERS
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1. KEEP CHANGE CHANGE OR ADDING ITS OPPOSITE
2. FOLLOW ADDITION RULES EXAMPLE: 3 - 5 3 + +5 = 8 |
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RULES FOR MULTIPLYING AND DIVIDING NUMBERS WITH THE SAME SIGN
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ANSWER IS POSITIVE
NEGATIVE X NEGATIVE = POSITIVE POSITIVE X POSITIVE = POSITIVE |
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RULES FOR MULTIPLYING/DIVIDING NUMBERS WITH DIFFERENT SIGNS
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ANSWER IS NEGATIVE
NEGATIVE X POSITIVE = NEGATIVE POSITIVE X NEGATIVE = NEGATIVE NEGATIVE / POSITIVE = NEGATIVE POSITIVE / NEGATIVE = NEGATIVE |
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INVERSE PROPERTY OF MULTIPLICATION
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a ( 1/a) = 1
a number multiplied by its recipocal is equal to 1 |
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RECIPOCAL OR MULTIPLICATIVE INVERSE
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EXAMPLE: THE RECIPOCAL IS 4/3 IS 3/4
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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 |
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DISTRIBUTIVE PROPERTY
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a(b+c) = ab + ac
a(b-c) = ab - ac (b+c)a = ba + ca (b-c)a = ba - ca |
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term
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a number,variable, or the product of a number and one or more variable.
example: 6x + 3 6x = 1st term 3 = 2nd term |
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constant
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term without a variable
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coefficient
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number in front of variable
3a 3 is the coefficient |
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Like terms
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have the exact variable factors
x2 and 2x2 |
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not like terms
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different variables and/or exponents
2xy and 2xy^2 are different terms |
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the quantity
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Put information is parentesis
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Commmunative property of addition
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a + b = b + a
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communative property of multiplication
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a * b = b * a
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associative property of addition
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(a * b)* c = a * (b * c)
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Multiplication Property of Zero
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0 X n= 0
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Multiplication Property of -1
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-1 * n = -n
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deductive reasoning
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justifying steps by using facts, properties, and rules to form a conclusion
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x axis
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horizonal axis
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y axis
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vertical axis
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coordinate plane
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two number lines intersect form this
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origin
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0,0
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scatter plot
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graph that compares data
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positive correlation
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both data being compared increase
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negative correlation
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one data increases while the other decreases
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no correlation
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data is not related
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trend line
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scatter plot shows a correlation more clearly
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