Test 1.1
Cumulative Review
Test 2.1
Test 2.2
Vocab Gamble
100
"and so forth"
What is an elipsis?
100
The opposite truth value of a variable. "~"
What is negation?
100
If p then q
p
therefore q
What is Modus Ponens
100
Find the next three terms in each sequence:
23, 14, 5, -4, -13, ...
What is -22, -31, and -40?
100
Define the statement below:
All dogs are mammals.
What is purely universal?
200
Let A = {a, b}. List all strings of length 3 over A that have exactly one b.
What is (b, a, a), (a, b, a), (a, a, b)?
200
A statement that is true if either variable is true. "v"
What is disjunction?
200
The following argument is invalid because of a ____ error:
If a duck and a lemonade stand are in close proximity to each other, then the grapes will be inquired for.
The grapes were inquired for.
Therefore a duck and a lemonade stand are in close proximity to each other.
What is a converse error?
200
Simplify:
16!
13!4!
What is 140?
200
If two statements alligns with each other, being congruent.
What is logical equivalence?
300
State the following as true or false
2 ∈ {1, 2, 3}
{2} ∈ {1, 2, 3}
{2} ∈ {{1}, {2}}
True
False
True
300
The opposite of "and" is "or", and vice versa.
^--v
<-->
What is DeMorgan's Law?
300
Write the converse, inverse, and contrapositive of "If Wyatt disappears for two weeks or longer, then Wyatt is permanently gone."
What is "If Wyatt is permanently gone, then Wyatt disappears for two weeks or longer," "If Wyatt does not disappear for two weeks or longer, then Wyatt is not permanently gone," and "If Wyatt is not permanently gone, then Wyatt does not disappear for two weeks or longer?"
300
Evaluate the series:
What is 144 + 216 + 324 + 486 = 1170
300
if p then q
if q then r
therefore if p then r
What is transivity?
400
Let A = {a, b, c,} and B = {u, v}. List the amount of elements
A x B =
What is {(a, u), (a, v), (b, u), (b, v), (c, u), (c, v)} with 6 elements?
400
Write the statement in words if:
p: Wyatt is egocentric.
q: Wyatt wears hoodies.
The statement: ~(q V p)
What is "either Wyatt does not wear hoodies or Wyatt is not egocentric?"
400
Write a truth table for:
P -> ~q
q -> ~p
.'. p V q
What is
p q ~p ~q p->~q q->~p p V q
T T F F F F T
T F F T T T T
F T T F T T T
F F T T T T F
?
400
Evaluate the expression.
15C2
Hint: Use n!
r!(n-r)!
What is 105?
400
p or q
not p
therefore q
What is elimination?
500
Fill in the blanks to rewrite the following statement with variables:
"Is there an integer with a remainder of 4 when it is divided by 9 and a remainder of 2 when it is divided by 7?"
Hint: Is there an integer n such that n has _______?
What is "Is there an integer n such that n has a remainder of 4 when divided by 9 and a remainder of 2 when divided by 7?"
500
Compose a truth table for the statement form below and determine whether or not they are logically equivalent.
(p^q)^r and p^(q^r)
What is
p q r p^q q^r (p^q)^r p^(q^r)
T T T T T T T T
T T F T F F F F
T F T F F F F F
T F F F F F F
F T T F T F F
F T F F F F F
F F T F F F F
F F F F F F F
"Yes, they are logically equivalent?"
500
Determine whether the following argument is valid or invalid. Include a truth table and a few words explaining why the truth table shows validity or invalidity.
If Hugo is a physics major or if Hugo is a math major, then he needs to take calculus.
Hugo needs to take calculus or Hugo is a math major.
Therefore, Hugo is a physics major or Hugo is a math major.
What is
p q r pVq (pVq)->r rVq .'.pVq
T T T T T T T crucial valid
T T F T F T T
T F T T T T T crucial valid
T F F T F F T
F T T T T T T crucial valid
F T F T F T T
F F T F T T F crucial invalid
F F F F T F F
invalid, because line 7 is crucial, yet its conclusion is false?
500
Calculate each product(ignore question below):
What is 1*4*9*16*25 = 5,400?
500
Every real number has an additive inverse.
What is an universal existential statement?