Conditional/Bi-Conditional Statements
Venn Diagrams
Algebraic proofs
Inductive Reasoning
Truth table
100

Law of Detachment, Law of Syllogism or neither?

If the Vikings win the game tonight, then they will be the conference champions.

If the Vikings are the conference champions, then they will get a championship ring.

If the Vikings win the game tonight, then they will get a championship ring.

Law of Syllogism

100

Make a Venn diagram showing all eagles are birds.

100

Given 2+x=4, prove x=2

Subtraction Property

100

Predict what number comes next:

3, 6, 9, ___

12

100

Make a truth table of p^q

200

Is this a conditional or Bi-Conditional statement? p→q

Conditional statement

200

Make a Venn diagram showing some people play volleyball and basketball.

200

Given x/11= 11, prove x=121

Multiplication Property

200

Predict what number comes next:

2, 4, 8, 16, 32, ___

64

200

Make a truth table of p v q

300

What kind of conditional statement is this? ~p→~q

Inverse

300

Make a Venn diagram of pet owners that own three cats, three dogs, four parrots, two cats and dogs, four dogs and parrots, two parrots and cats, and seven dogs cats and parrots.

300

Given 3x+x=12, prove x=6

CLT, Division Property

300

Predict what number comes next:

1, 8, 64, 512, ____

4096

300

Make a truth table of ~p v q

400

Find the converse of this conditional statement: If I have a lollipop, Kim has two lollipops

If Kim has two lollipops, I have one lollipop

400

Make a Venn diagram of a survey taken for pet owners if, there are three parrot owners, two cat owners, twelve dog owners, three cat and parrot owners, eight parrot and dog owners, four dog and cat owners, eight dog parrot and cat owners, and five who don't any at all.  How many people own a cat but no parrot?

6

400

Given 4x-10=7-2x, prove x=17/6

Addition Property

400

If Joe runs a mile in under 6 minutes, then he will have a new personal record.

Joe ran a mile in 5 minutes.

Conclusion?

Joe has a new personal record.

400

Make a truth table of  p^~q

500

What is the contrapositive of this statement: If I have one strawberry, then Sam has two more

If Sam does not have two more strawberries than me, then I do not have one strawberry.

500

How many participants BOTH are not participating in the survey AND own cats, if four own dogs, five own birds, seven own cats, nine own birds and dogs, eight own dogs and cats, seven own birds and cats, and 14 did not participate.

36 people

500

Given 2(3x+5)=16, prove x=1

Distributive Property

500

If you sell $100 worth of popcorn, then your Boy Scout dues are free.

Steve's boy scout dues are free.

Valid or invalid?  If valid, tell which law.

Invalid

500

Make a truth table of  ~q v ~p

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