Truth Values
Symbolic Form
Properties of Equality
Algebraic Proofs
Random
100
With a conjunction, how many statements must be true for the truth value to be true?
BOTH statements
100
What does this symbol called and mean?
~
Negation and it means not or opposite
100
Name the property of equality
5j=5j
Reflexive Property
100
What is the first then you write when completing a two column proof?
The given statement and reason
100
Do you have to write the word property?
Yes
200
With a disjunction, how many statements must be true for the truth value to be true?
Only One
200
What is q → p called?
Converse
200
Name the property of equality
If x=7, then 7=x
Symmetric Property
200
Given: a = b - c, 6c= b +c, b=15 Prove: a=12
After writing your 1 statement and reason as the given, what would your next step be?
Substitution Property
200
True or False: You don't need to number your statements and reasons in your two column proofs.
False
300
With a biconditional statement, how many statements must be true for the truth value to be true?
BOTH statements
300
What is ~p → ~q called?
Inverse
300
If k=8 then 3k=24
Multiplication Property
300
If your statement is 35=y and you are proving y=35, do you need give any more statements and reasons? If so then what do you need to do?
You need to write y=35 as the statement and symmetric property as the reason.
300
In a two column proof, the reasons go on which side of the T?
Right
400
Determine if the statement is true or false. If false, give a counterexample.
The product of two consecutive integers is always even.
TRUE
400
What is p ∨ q called? What word goes with this type of statement?
Disjunction; OR
400
Name the property
If x=10; 10=y then x=y
Transitive Property
400
What would I list as my reason for #5?
Distributive Property
400
When we combine like terms what is the reason called?
Simplify
500
Determine if the statement is true or false. If false, give a counterexample.
The reciprocal of a number is always less than 1.
False, 2/3's reciprocal is 3/2 which is larger than 1.
500
What is ~q → ~p called? How would we read the statement?
Contrapositive
If not q then not p.
500
Is there a difference between using simplify and the addition property? Explain
Yes; Simplify is used when combining like terms were addition property is used when you are adding to both sides of the equation.
500
Complete the entire two column proof
500
Write a conjecture for the sequence below
2, 5, 10, 17, 26, 37
To generate the next term, add the next odd number to the previous term.