Set theory
Problem Solving
Random form Test 1 or Test 2
Logic
Functions
100
an empty set is a part of every subset true or false?
true
100
the number is 3. multiply by 10 and divide the sum by 2.
15
100
A formula that approximates a real world phenomena is known as a
mathematical model
100
WRITE THE NEGATION OF THE QUANTIFIED STATEMENT: "SOME DRINKS ARE NOT LIQUIDS."
ALL DRINKS ARE LIQUIDS
100
FIND F(-2), IF
f(x)=3x^2 -7x-5f(x)=3x2−7x−5
21
200
the formula for the number of proper subsets within a set is?
2n -1
200
estimate the cost of the following items. Rounding to the nearest dollar.
2.33 + 6.86 +4.25 =
13
200
A = {1, 2, 3} and B = {1, 3,}
A is a proper subset of B.
A ⊂ B
200
DETERMINE WHICH OF THE FOLLOWING STATEMENTS ARE EQUIVALENTS.
B & C
200
USE THE VERTICAL LINE TEST TO DETERMINE IF A FUNCTION IS A FUNCTION OR NOT.
BOTTOM FUNCTION
300
A SOFA SELLS FOR $940. INSTEAD OF PAYING THE TOTAL AMOUNT AT THE TIME OF PURCHASE, THE SAME COUCH CAN BE BOUGHT BY PAYING $300 DOWN AND $70/MO FOR 1 YEAR. HOW MUCH IS SAVED BY PAYING IN FULL TODAY?
200 dollars
300
What is the cardinality of the following set?
S= {14, 15, 16, 17}
n(S) = 4
300
26.13 – 12.45
Estimate the difference.
Estimate the difference.
14
300
if p is true and q is false, what is p ^ ~ q ?
True.
300
Find the y- intercept of the following function
2y + 4x = 12
(0, 6)
400
LET U={Q,R,S,T,U,V,W,X,Y,Z}, A={Q,S,U,W,Y}, AND B={Q,S,Y,Z}. LIST THE ELEMENTS IN THE SET (A∩B)'
SKIP / SEE
ANSWER
5
SET THEORY & NUMBERS for 500
{R,T,U,V,W,X,Z}
400
CALCULATE THE NUMBER OF SUBSETS AND PROPER SUBSETS FOR THE SET {2,4,6,8,10}
SUBSETS: 32 PROPER SUBSETS: 31
400
{x/x∊N and 1 < x < 8}
How many elements within the following set?
6 elements.
400
LET P REPRESENT A TRUE STATEMENT, LET Q REPRESENT A FALSE STATEMENT, AND LET R REPRESENT A TRUE STATEMENT. FIND THE TRUTH VALUE OF THIS STATEMENT. P ۸ (Q → ~ R)
TRUE
400
GRAPH THE LINEAR FUNCTION USING THE SLOPE AND Y-INTERCEPT. Y = -2X + 3
500
EACH EPISODE OF A TV SHOW IS APPROXIMATELY 40.3 MINUTES LONG. IF A SEASON HAS 12 EPISODE. HOW LONG DO YOU THINK IT WILL TAKE FOR YOU TO FINISH 12 SEASONS? (ROUND YOUR ANSWER TO THE NEAREST TENTH).
5803.2 MINUTES ***HOW MANY DAYS WILL IT TAKE?***
500
Using set notation describe the following two sets.
Ex: A = {a, b, c, d}
B= { d, c, b, a}
A ⊆ B
A is a subset of B.
500
A set has 10 elements, how many proper subsets does it have?
1023
500
if you wanted to determine if a statement was a tautology, what would the final column of the truth table look like for a statement that was in fact a tautology?
The final column should contain all true values.
500
for the following equation, determine the value of both the x and y intercepts
4y - 12x = 24
y = -3x + 6
y intercept is (0 , 6)
x intercept (2, 0)