# Math Definitions

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1. Arithmetic Operation
2. Expression
A collection of numbers, operation signs and inclusion symbols that stand for a number
3. Evaluating
To evaluate an expression means to find the number for which the expression stands for
4. Variable
A letter that represents a number
5. Substituting
Replace a variable with a constant
6. Equation
A sentance which says that one expression is equal to another expression
7. Solution
A number you can substitute for the variable that makes the sentance true
8. Transforming an Equation
Do the same operation to each member of the equation
Two numbers are if their sum equals zero
10. Positive Number
Greater than zero
11. Negative Numbers
Less than zero
12. Integers
Numbers that do not include the fractions in between them (-3, -2, -1, 0, 1, 2, 3)
13. Real Numbers
All numbers on the number line, filling the entire line, leaving no gaps
14. Subtraction
15. Multiplicative Inverse, or Reciprocal
Two nonzero numbers are if their product equals 1
16. Commute
Interchange two numbers positions
17. Associate
Group two numbers in an expression with a parentheses so that the operation between them is done first
18. Property
A fact that is true concerning a mathematical system
19. Axiom
A property that forms the basis of a mathematical system, it is true without proof
20. Distributive Axiom
x (y + z) = xy + xz
21. Multiplication Distributes Over Subtraction (Property)
x (y - z) = xy - xz
22. Like Terms
Two terms with the same variables raised to the same powers
23. Numerical Coefficient
The constant that is multiplied by the variables
24. Common Factor
A factor of each term in the expression
x + y = y + x
26. Commutative Axiom for Multiplication
xy = yx
(x + y) + z = x + (y + z)
28. Associative Axiom for Multiplication
(xy)z = x(yz)
29. Distributive Axiom for Multiplication Over Addition
x(y + z) = xy + xz
x + 0 = x
31. Multiplicative Identity Axiom
x(1) = x
x + (-x) = 0
33. Multiplicative Inverse Axiom
x(1/x) = 1
34. Multiplication Property of -1
-1(x) = -x
35. Multiplication Property of 0
0(x) = 0
36. Transitive Axiom of Equality
If x = y and y = z, then x = z
37. Symmetric Axiom of Equality
If x = y, then y = x
38. Reflexive Axiom of Equality
x = x
If x = y, then x + z = y + z
40. Multiplication Property of Equality
If x = y, then xz = yz
41. Identity
An equation that is true for all values of the variable
42. Conditional Equation
One that is true for some values of the variable and not for other values of the variable
43. Polynomial
An expression that has no operations other than addition, subtraction, and multiplication by or of the variable(s)
44. Degree
(Of a polynomial with one variable) is the exponent of the highest power of that variable
45. Factoring a Polynomial
Transform a polynomial to a product of two or more factors
46. Prime Polynomial
A polynomial whose onlu factors are 1 and the polynomial itself
47. Conjugate Binomial
Binomials that are the same except for the sign between the terms
48. Difference of Two Squares
A(squared) - b(squared = (a +b)(a-b)
49. Square Root
(Square Root of N)(Squared) = n
50. Rational Number
Number that can be written as a ratio of two integers
51. Irrational Number
A real number that can't be written as a ration of two integers
52. Closure Under Multiplication
If x and y are any real numbers, then xy is a unique real number
If x and y are any real numbers, then x + y is a unique reak number
54. Closure
• A set of numbers is closed under an operation if there is just one answer, and the answer is in the given set
• That is,
• (number in set)(operation)(number in set)
• = (unique number in set)
x equals the opposite of b, plus or minus the square root of the quantity b squared minus 4ac, all divided by 2a
56. Absolute Value
The number itself or the opposite of the number, whichever is positive
57. Solving an Equation
Writing a solution set
58. Square Root Property of Equality
• If two positve numbers are equal, then their positive square roots are equal
• if a = b, then -( a = -( b
59. Square Root of a Perfect Square
-( ( number)2 = |number|
60. Verticle Motion Formula
d = rt - 5t2
61. Discriminant
the expression b2 - 4ac

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 Author: SarahhatestoStudy ID: 125948 Filename: Math Definitions Updated: 2012-01-04 22:49:34 Tags: Math Definition Folders: Description: This is a review of Math Definitions in Chapter 1 - 6 Show Answers:

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