Chapter P Flashcards
(70 cards)
1
Q
Multiplying Conjugates
A
2
Q
Difference of Two Squares
A
3
Q
variable
A
a letter used to represent various Numbers
4
Q
Special Products
A
5
Q
Simplifying Exponential Expressions
A
6
Q
Finding the Least Common Denominator
A
7
Q
Adding and Subtracting Rational Expressions That Have Different Denominators
A
8
Q
Factoring the Sum or Difference of Two Cubes
A
9
Q
Finding nth Roots of Perfect nth Powers
A
10
Q
Associative Property of Addition
A
Changing grouping when adding does not affect he sum.
(a + b) + c = a + (b + c)
11
Q
Power Rule
A
12
Q
Product to Powers
A
13
Q
Simplifying Rational Expressions
A
14
Q
Factoring Perfect Square Trinomials
A
15
Q
Quotient to Powers
A
16
Q
evaluating an algebraic expression
A
find the value of an expression for a given value of the variable
17
Q
Definition of a1/n
A
18
Q
Negative Exponents in Numerators and Denominators
A
19
Q
Polynomial in x
A
20
Q
A
21
Q
set
A
a collection of objects whose contents can be clearly determined
22
Q
Principal nth Root of a Real Number
A
23
Q
Definition of am/n
A
24
Q
Quotient Rule
A
25
Product and Quotient Rules for nth Roots
26
roster method
the use of braces { } and commas to separate the elements of the set
27
Union of Sets
the set of elements that are membersof set A or of set B or of both sets. expressed as AUB
28
Properties of Negatives
29
Zero Exponent Rule
30
mathematical models
modeling formulas together with the meaning assigned to the variables
31
Converting from Decimal to Scientific Notation
32
Exponential Notation
a counting number raised to the nth power from a base number
33
Strategy for Factoring a Polynomial
34
Degree of axn
35
Important Subsets of the Real Numbers
36
Order of Operations Agreement
Parenthesis - innermost to outermost Exponents Multiplications and divisions as they occur from left to right Additions and subtractions as they occur from left to right
37
Absolute Value
38
Absolute Value Properties
1
39
Product Rule
40
Subtraction and Division
41
Negative Exponent Rule
42
set-builder notation
the elements of the set are described but not listed (x,y)
43
Distance Between Two Points on a Number Line
|a - b| = |b-a|
44
elements
the objects in a set
45
equation
an equal sign is placed between two algebraic expressions
46
Multiplying Polynomials When Neither is a Monomial
47
Strategy for Factoring ax2 + bx + c
48
Properties of the Real Numbers
1
49
Product of the Sum and Difference of Two Terms
50
Irrational Numbers
the set of irrational numbers is the set of all numbers whose decimal representations are neither terminating nor repeating. Irrational numbers cannot be expressed as a quotient of integers.
Example:
51
algebraic expression
a combination of variables and numbers using the operations of addition, subtraction, multiplication, or division, as well as powers or roots
52
Whole Numbers
{0,1,2,3,4,5, ... }
The set of whole numbers includes 0 and the natural numbers
Example: 0,2,3,5,17
53
Natural Numbers
{1,2,3,4,5,...} These are the numbers that we use for counting.
Example: 2,3,5,17
54
Using FOIL to Multiply Binomials
55
Product Rule for Square Roots
56
formula
an equation that uses variables to express a relationship between two or more quantities
57
Scientific Notation
58
Real Numbers
the set of numbers that are either reational or irrational
59
Intersection of Sets
the set of elements common to both sets A and B. expressed as
60
commutative property of multiplication
changing order when multiplying does not affect the product (ab = ba)
Example: x · 6 = 6x
61
mathematical model breakdown
when a mathematical model gives an estimate that is not a good approximation or is extended to include values of the variable that do not make sense.
62
mathematical modeling
the process of finding formulas to describe real-world phenomena
63
Square of a Binomial Sum
64
Quotient Rule for Square Roots
65
commutative property of addition
changing order when addeing does not affect the sum (a + b = b + a)
Example: 13+7=7+13
66
Rational Numbers
{a/b | a and b are integers and b\<\>0}
The set of rational numbers is the set of all numbers that can be expressed as a quotient of two integers, with the denominator not 0. Rational numbers can be expressed as terminating or repeating decimals.
Example: -17=(-17/1),-5=(-5/1),-3,-2,0,2,3,5,17,
(2/5)=0.4,(-2/3)=-0.6666
67
Square of a Binomial Difference
68
Integers
{...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...}
The set of integers includes the negatives of the natural numbers and the whole numbers.
Example: -17,-5,-3,-2,0,2,3,5,17
69
Multiplying Rational Expressions
70
Principal Square Root
