Ch 2: Logical Reasoning Review

Write the following statement as a conditional statement:

A dog with proper training will not misbehave.

• If a dog has proper training, then it will not misbehave.

• If a dog does not behave, then it had proper training.

• A dog had proper training if and only if it will not misbehave.

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

What is a conjecture?

• A statement believed to be true based on observations.

• An example which disproves an hypothesis.

• A statement that reverses the hypotheses and the conclusion.

Find the seventh term in the sequence:

A, D, G, J, _____

• M

• P

• S

• V

Where would the next red square be?

• bottom left
• top right
• top left
• bottom right

What are the next two numbers in this pattern?
12, 17, 22, 27, ___, ___

• 32, 37
• 30, 37
• 30, 33
• 32, 35

This is used to prove that a conjecture is false.

• Counterexample

• Inductive Reasoning

• Concluding statement

• Negation

Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4

• 0
• 12
• 28
• 42

Deductive reasoning means...

• Guessing without any information

• Sounding knowledgeable even when you are not

• Testing and observing patterns to make conjectures

• Drawing conclusions from situations based on facts and definitions

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

• Hypothesis: I will be your best friend
  Conclusion: you give me twenty dollars
• Hypothesis: you give me twenty dollars
  Conclusion: I will be your best friend
• Hypothesis: if you have to pay for friends
  Conclusion: then you probably should reevaluate your life
• Hypothesis: you will not have to pay twenty dollars
  Conclusion: if you have lots of friends