Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
20 Cards in this Set
- Front
- Back
|
What is the roster method of describing a set? |
Simply list all the elements: A = {1, 2, 3, 4,5} |
|
|
What is the tabulation method of describing a set? |
Describe the elements: A = {Integers with a value 1-5) |
|
|
When is set A a subset of set B? |
When set A's elements are ALL in set B. |
|
|
When is set A a proper subset of set B? |
When at least one element in set B is not found in set A. |
|
|
Explain the various sets and numbers and state their elements. |
Counting numbers = 1,2,3,4... Whole numbers = 0,1,2,3,4... Integers = ...-3,-2,-1,0... Rational = able to be expressed as fraction Irrational = cannot use fractions (pi, sqr. rts.) Real numbers = all rational + irrational numbers |
|
|
Explain the operations for addition. |
Closure: a+b is in R Associativity: (a+b)+c=a+(b+c) Commutativity: a+b=b+a |
|
|
What is the additive identity and inverse? |
Additive identity (get the same number) = 0 Additive inverse (get 0) = -a |
|
|
What is the multiplicative identity and inverse? |
Multiplicative identity (get the same number) = 1 Multiplicative inverse (get 0) = 1/a |
|
|
What is a relation? |
A one-to-one correspondence between domain and range values. Usually expressed in ordered pairs. |
|
|
When is a relation a function? |
When each domain value corresponds to one and only one range value. |
|
|
How do you prove a repeating decimal is a rational number? |
x = 0.123123... 1000x = 123.123 999x = 123 123/999 = 91/333 |
|
|
What is the recursive form of an arithmetic sequence? |
u(sub n) = u(sub n - 1) +d |
|
|
What is the explicit form of an arithmetic sequence? |
u(sub n) = u(sub 1) + (n-1)d |
|
|
How do you find the sum of the first x terms in a sequence? |
S(sub x) = (x/2)[u(sub 1) + u(sub x)] |
|
|
Explain the difference between the slopes of parallel and perpendicular lines. |
Parallel = same slope Perpendicular = opposite reciprocal (-2/3 = 3/2) |
|
|
What are the other two names for a quadratic equation, and what are its three forms?
|
1. Second–degree, descending power
2. Standard, x–intercept, transformation |
|
|
What are the three primary methods of solving a quadratic equation?
|
Factoring, completing the square and the quadratic formula
|
|
|
What must be true in order to use the quadratic formula?
|
Discriminant > 0
|
|
|
Must a parabola always have x and y intercepts?
|
No, they do most of the time however
|
|
|
How do you find the vertex of a parabola?
|
–b/2a or –e/2d
|
