Truth Value + Patterns
Laws of Logic
Venn Diagrams
Conditional Statements
Properties + Proofs
100
Next stage in the pattern:
7, 11, 16, 22, 29...
37
100
If John enjoys watching soccer, then John enjoys playing soccer.
John enjoys watching soccer.
Conclusion: John enjoys playing soccer.
What law of logic was used to reach this conclusion?
Law of Detachment
100
How many students liked Waffles, Pancakes, and French Toast?
8
100
Re-write in if then form.
All squares have 4 congruent sides.
If a shape is a square, then it has 4 congruent sides.
100
Name the property being shown below:
7 + x = 7 + x
Reflexive Property
200
p: Any 3 points are coplanar.
q: An octagon has 5 sides.
r: Right angles measure 90 degrees.
s: Complementary angles add to 180 degrees.
Determine the truth value of:
p v r
true
200
If I do my homework, then I will get good grades.
If I get good grades, then my parents will be proud of me.
Conclusion: If I do my homework, then my parents will be proud of me.
What law of logic was used to reach this conclusion?
Law of Syllogism
200
How many students liked French Toast and Waffles?
18
200
State the converse of this conditional statement:
If 3 points are collinear, then they all lie on the same line.
Additionally, state if the converse is true or false.
If 3 points all lie on the same line, then they are collinear.
True.
200
Name the property being shown below:
If x + 1 = 5, and 5 = y - 1, then x + 1 = y - 1
Transitive Property
300
Determine the next stage in the pattern:
10, 20, 23, 46, 49...
98
300
If the weather gets bad, the game will be canceled.
The weather got bad.
Determine the conclusion and law of logic used.
The game will be canceled. Law of Detachment.
300
How many students liked Pancakes or Waffles?
60
300
State the contrapositive of this conditional statement:
If a figure has 5 sides, then it is a pentagon.
Additionally, state if the contrapositive is true or false.
If a figure is not a pentagon, then it does not have 5 sides.
True.
300
Name the property being shown below:
If q = 5, and p = 5, and then q = p
Substitution
400
p: Any 3 points are coplanar.
q: An octagon has 5 sides.
r: Right angles measure 90 degrees.
s: Complementary angles add to 180 degrees.
Determine the truth value of:
(q v r) ^ ~p
false
400
If I scroll on TikTok, then I will get in trouble.
I got in trouble.
Determine the conclusion and law of logic used.
N/A
400
How many students liked only Pancakes or Waffles?
36
400
State the inverse of this conditional statement:
If 2 angles add to 180 degrees, then they form a linear pair.
Additionally, state if the inverse is true or false.
If 2 angles do not add to 180 degrees, then they do not form a linear pair.
True
400
Prove in 4 steps that 12 = x:
1/3x+ 9 = 13
Given, Subtraction, Division, Symmetric
500
p: Any 3 points are coplanar.
q: An octagon has 5 sides.
r: Right angles measure 90 degrees.
s: Complementary angles add to 180 degrees.
Determine the truth value of:
[s v (~p ^ q)] v r
true
500
If I study for my permit test, then I will pass my permit test.
If I pass my permit test, then I will start driving.
Determine the conclusion and law of logic used.
If I study for my permit test, then I will start driving.
Law of Syllogism
500
How many students liked only French Toast and Pancakes?
6
500
State the contrapositive of this conditional statement:
If a figure has 4 sides, then it is a square.Additionally, state the contrapositive is true or false.
If a figure is not a square, then it does not have 4 sides.
False
500
Prove in 6 steps that x = 6:
2x + 4(2x-5) = 2(x+14)
Given
Distribute
Substitution
Subtraction/Addition
Addition/Subtraction
Division