Related Conditionals
If the conditional statement can be represented as p --> q, then what is the inverse?
What is "~p --> ~q?"
Determine the truth value of the following statement: Annie Wright Schools is in Tacoma, WA.
What is True?
Name the property used to solve the following equation.
x-8=14
x=22
What is the Addition Property of Equality?
The hypothesis of the following conditional: "If you hear the fire alarm, then you should exit the building."
What is "you hear the fire alarm"?
Draw a valid conclusion from the give statements, if possible:
If you can dream it, you can do it.
You can dream it.
What is "You can do it"?
If the conditional statement can be represented as p --> q, then what is the converse?
What is "q --> p"?
The negation of the following statement: Complementary angles add up to 90 degrees.
Complementary angles do not add up to 90 degrees.
Name the property used to solve the following equation.
x+10=21
x=11
What is the Subtraction Property of Equality?
The conclusion of the following conditional: If they raise enough money, then the student group will go on a field trip.
What is "the student group will go on a field trip"?
Draw a valid conclusion from the given statements, if possible.
If it is July or August, then it is summer.
If it is summer, then it will not snow.
What is "If it is July or August, then it will not snow"?
If the conditional statement can be represented as p --> q, then what is the contrapositive?
What is "~q --> ~p"?
The truth value of the negation of a true statement.
What is "false"?
Name the property used to solve the following equation.
4x=36
x=9
What is the Division Property of Equality?
The truth value of the contrapositive of a false conditional.
What is "false"?
What law says if a -> b and b -> c are both true, then a -> c is true?
What is the Law of Syllogism?
______________________ statements are statements that are both true or both false.
What is "Equivalent"?
What is the negation of "Points A, B, and C are collinear".
What is "Points A, B, and C are not collinear"?
Name the property used to solve the following equation.
x/4=5
x=20
What is the Multiplication Property of Equality?
The inverse of the conditional: If you live in Tacoma, then you live in Washington.
What is "If you do not live in Tacoma, then you do not live in Washington."?
What law says if p -> q is a true statement and p is true, then q is true?
What is the Law of Detachment?
Which statements are equivalent statements? (Your answer will be two pairs of letters)
a) conditional statement
b) converse
c) inverse
d) contrapositive
What is "a and d"
OR
What is "b and c"?
Which student is correct:
Student A: "Statements are always true and negations are always false".
Student B: "No, statements can be true or false and negations can be true or false"
Who is Student B?
Name the two properties used to solve the following equation.
2x+8=18
2x=10
x=5
What are the Subtraction Property and Division Property of Equality?
The truth value of the converse of the following statement: "If a polygon is a rectangle, then it is a square."
What is "true"? ("If a polygon is a square, then it is a rectangle" is true)
Provide a counterexample that proves the following conclusion is invalid.
Given:If the figure is a square, then it is a parallelogram. Figure ABCD is a parallelogram.
Conclusion: Figure ABCD is a square.
What is "Figure ABCD could be a rhombus or rectangle"?