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Algebra 1
Chapters 1 - 5
46
Other
9th Grade
10/08/2007

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Term
O, 1, 2, 3... NUMBERS INCLUDING 0
Definition
WHOLE NUMBERS
Term
EVALUATE
Definition
TO FIND THE NUMBER(S) THAT MAKES THE PROBLEM CORRECT
Term
ALGEBRAIC EXPRESSION
Definition
A MATH SENTENCE THAT HAS AT LEAST ONE VARIABLE
Term
VARIABLE
Definition
A LETTTER THAT REPRESENTS ON OR MORE NUMBERS.
Term
A POWER
Definition
PRODUCT IN WHICH THE FACTORS ARE THE SAME
Term
X + 0 = X
Definition
ADDITIVE INDENTITY
Term
a + b = b + a

a + b + c = c + a + b
Definition
COMMUNITIVE PROPERTY OF ADDITION

[The order of addition does not change the sum.]
Term
a x 1 = a
Definition
MULTIPLICATIVE IDENTITY
Term
a x b x c = c x b x a
Definition
COMMUNITIVE PROPERTY OF MUTIPLICATION

[The order does not change the product.]
Term
RATIONAL NUMBER
Definition
ANY NUMBER THAT CAN BE EXPRESSED IN THE FORM a/b
(b ≠ 0)
Term
(a + b) + c = a + (b + c)
Definition
ASSOCIATIVE PROPERTY OF ADDTION
[Numbers can be grouped any way, and it will not change the sum.]
Term
a(bc) = (ab)c
Definition
ASSOCIATIVE PROPERTY OF MULTIPLICATION
[Numbers can be grouped in any way, and it will not chang the product.]
Term
SIMPLIFY
Definition
FIND THE SIMPLIST FORM OF THE SENTENCE.
Term
FACTOR
Definition
TWO OR MORE NUMBERS ARE MULTIPLIED. THE ANSWER IS A PRODUCT.
Term
EQUIVALENT EXPRESSIONS
Definition
MATH SENTENCES THAT ARE EQUAL
Term
1, 2, 3... not 0
Definition
NATURAL NUMBERS OR COUNTING NUMBERS
Term
SUBSTITUTION
Definition
REPLACE THE VARIABLE WITH A NUMBER.
Term
FOR ALL RATIONAL NUMBERS a, b and c, if a = b then ac = bc
Definition
MULTIPLICATION PROPERTY OF EQUALITY
Term
34:10 34 DIVIDED BY 10,  or 3.4
Definition
RATIO WHEN TWO QUANTITIES ARE COMPARED.
Term
PROPORTION
Definition
AN EQUATION THAT STATES TWO RATIOS ARE EQUAL
Term
PERCENT
Definition
THE RATION OF A NUMBER TO 100
Term
OPPOSITES
Definition
NUMBERS THAT ARE THE SAME DISTANCE BUT IN OPPOSITE DIRECTIONS FROM ZERO ON THE NUMBER LINE
Term
{...-4, -3, -2, -1, 0, 1, 2, 3, 4...}
Definition
INTEGERS
Term
POSITIVE
Definition
NUMBERS TO THE RIGHT OF 0
ON THE NUMBER LINE
Term
NEGATIVE INTEGERS
Definition
NUMBERS THAT ARE TO THE LEFT OF 0 ON THE NUMBER LINE
Term
< or >
Definition
INEQUALITY
Term
ABSOLUTE VALUE
Definition
THE DISTANCE LEFT or RIGHT OF 0 WRITTEN IN A POSTITVE NUMBER
Term
RATIONAL NUMBER
Definition
ANY NUMBER THAT CAN BE EXPRESSED AS THE RATIO OF TWO INTEGERS a/b

(b does not equal 0)
Term
COORDINATE
Definition
THE POINT ON A NUMBER LINE FOR EVERY RATIONAL NUMBER
Term
GRAPH
Definition
WHEN WE DRAW A POINT FOR A NUMBER ON A NUMBER LINE IT IS SAID WE HAVE _______________ THE NUMBER
Term
ADDITIVE INVERSE
Definition
TWO NUMBERS WHOSE SUM IS 0

a + (-a) = 0
Term
DIFFERENCE
Definition
FOR ALL RATIONAL NUMBERS a, b
a - b is the number c
such that c + b = a
Term
MULTIPLICATIVE PROPERTY OF ZERO
Definition
ANY RATIONAL NUMBER MULTIPLIED BY ZERO EQUALS ZERO.
Term
THE ANSWER TO A DIVISION PROBLEM
Definition
A QUOTIENT
Term
MULTIPLICATIVE INVERSES SAME AS RECIPROCALS
Definition
TWO RATIONAL NUMBERS WHOSE PRODUCT IS 1
EXAMPLE: a/1 x 1/a = 1
Term
IRRATIONAL NUMBERS
Definition
A DECIMAL THAT NEITHER ENDS OR REPEATS.
Term
a(b + c) = ab + ac

(b + c)a = ba + ca
Definition
DISTRIBUTIVE PROPERTY OF MULTIPLICATION OVER ADDITION
Term
a(b - c) = ab - ac

(b - c)a = ba - ca
Definition
DISTRIBUTIVE PROPERTY OF MULTIPLICATION OVER SUBTRATION
Term
-1 x a = -a
Definition
THE PROPERTY OF -1
Term
-(a + b) = -a + (-b)
Definition
THE INVERSE OF A SUM PROPERTY
Term
AXIOMS
Definition
PROPERTIES WE ACCEPT WITHOUT PROOF
Term
THEOREMS
Definition
PROPERTIES WE PROVE
Term
FIELD
Definition
ANY NUMBER SYSTEM IN WHICH AXIOMS HOLD
Term
CLOSED
Definition
THE CLOSURE PROPERTY FOR RATIONAL NUMBERS GUARANTEE THAT THE SUM AND THE PRODUCT OF ANY TWO RATIONAL NUMBERS ARE ALSO RATIONAL NUMBERS.
Term
a = a is always true
Definition
REFLEXIVE PROPERTY
Term
If a = b, then b = a
Definition
SYMMETRIC PROPERTY
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