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Related Conditionals
Statements and Negations
Properties of Equality
Conditionals
Deductive Reasoning
100

If the conditional statement can be represented as   p --> q, then what is the inverse?

~p --> ~q

100

Determine the truth value of the following statement: Lynden High School is in Lynden, WA.

True.

100

Name the property used to solve the following equation.

x-8=14

x=22

Addition Property

100

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"?

100

Draw a valid conclusion from the give statements, if possible:

If you can dream it, you can do it. 

You can dream it.

You can do it.

200

If the conditional statement can be represented as   p --> q, then what is the converse?

q --> p

200

The negation of the following statement: Complementary angles add up to 90 degrees.

Complementary angles do not add up to 90 degrees.

200

Name the property used to solve the following equation.

x+10=21

x=11

Subtraction Property

200
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"?
200

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.

If it is July or August, then it will not snow.

300

If the conditional statement can be represented as   p --> q, then what is the contrapositive?

~q --> ~p

300

The truth value of the negation of a true statement.

What is "false"?

300

Name the property used to solve the following equation.

4x=36

x=9

Division Property

300
The truth value of the contrapositive of a false conditional.
What is "false"?
300

What law says if a -> b and b -> c are both true, then a -> c is true?

Law of Syllogism

400

______________________ statements are statements that are both true or both false.

Equivalent

400

What is the negation of "Points A, B, and C are collinear".

What is "Points A, B, and C are not collinear"?

400

Name the property used to solve the following equation.

x/4=5

x=20

Multiplication Property

400
The inverse of the conditional: If you live in Albany, then you live in New York.
What is "If you do not live in Albany, then you do not live in New York."?
400

What law says if p -> q is a true statement and p is true, then q is true?

Law of Detachment

500

Which statements are equivalent statements? (Your answer will be two pairs of letters)

a) conditional statement

b) converse

c) inverse

d) contrapositive

a, d and b, c

500

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"

Student B

500

Name the two properties used to solve the following equation.

2x+8=18

2x=10

x=5

Subtraction Property and Division Property

500

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)

500

Provide a counterexample that proves the following conclusion is invalid.

Given:If the figure is a rectangle, then it is a parallelogram. Figure ABCD is a parallelogram.

Conclusion: Figure ABCD is a rectangle. 


Figure ABCD could be a rhombus