Test 1 and 2

Set theory

100

an empty set is a part of every subset true or false? 

true 

200

the formula for the number of proper subsets within a set is? 

2ⁿ -1 

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 

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}

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?***

Problem Solving

100

the number is 3. multiply by 10 and divide the sum by 2.

15

200

estimate the cost of the following items. Rounding to the nearest dollar. 

2.33 + 6.86 +4.25 = 

13

300

What is the cardinality of the following set? 

S= {14, 15, 16, 17} 

n(S) = 4

400

CALCULATE THE NUMBER OF SUBSETS AND PROPER SUBSETS FOR THE SET {2,4,6,8,10}

SUBSETS: 32 PROPER SUBSETS: 31

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. 

Random form Test 1 or Test 2

100

A formula that approximates a real world phenomena is known as a

mathematical model 

200

A = {1, 2, 3} and B = {1, 3,}

A is a proper subset of B. 

A  ⊂ B

300

26.13 – 12.45 

Estimate the difference. 

Estimate the difference. 

14

400

{x/x∊N and 1 < x < 8} 

How many elements within the following set?

6 elements.

500

A set has 10 elements, how many proper subsets does it have?

1023

Logic

100

WRITE THE NEGATION OF THE QUANTIFIED STATEMENT: "SOME DRINKS ARE NOT LIQUIDS."

ALL DRINKS ARE LIQUIDS

200

DETERMINE WHICH OF THE FOLLOWING STATEMENTS ARE EQUIVALENTS.

B & C

300

if p is true and q is false, what is p ^ ~ q ?

True.

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

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.

Functions

100

FIND F(-2), IF

f(x)=3x^2 -7x-5f(x)=3x2−7x−5

21

200

USE THE VERTICAL LINE TEST TO DETERMINE IF A FUNCTION IS A FUNCTION OR NOT.

BOTTOM FUNCTION

300

Find the y- intercept of the following function 

2y + 4x = 12 

(0, 6)

400

GRAPH THE LINEAR FUNCTION USING THE SLOPE AND Y-INTERCEPT. Y = -2X + 3

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)