Unit 1 Review

If an animal is furry, then it is a hamster. What would be an appropriate counter-example?

• goldfish

• frog

• elephant

• cat

Tags

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Express the compound statement in words:

p ∧¬q

• China is in Africa or Rwanda is not in Asia.

• China is not in Africa or Rwanda is in Asia.

• China is in Africa and Rwanda is not in Asia.

• China is not in Africa and Rwanda is not in Asia.

Tags

CCSS.RI.7.7

CCSS.RI.8.7

CCSS.RI.9-10.7

CCSS.RL.8.7

CCSS.RL.9-10.7

Let p represent: Brent works this summer.
Let q represent: Brent takes a vacation.
What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.

• ∴~p
• ∴~q
• ~p
• ~q

Tags

CCSS.HSS.CP.A.1

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

What is the converse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.
• If it is not Saturday, then the school is not closed.
• If the school is not closed, then it is not Saturday.

Tags

CCSS.HSS.CP.A.3

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

• you can buy a new CD
• you cannot buy a new CD
• no conclusion can be made
• you earn more than $14

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

• You have more energy
• If you exercise regularly, then you have more energy
• You have a healthy body
• If you do not have a healthy body, then you do not exercise regularly

Tags

CCSS.L.2.1F

CCSS.L.3.1H

CCSS.L.3.1I

CCSS.L.5.1E

CCSS.L.7.1B

p→q
p
∴q
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

p→q
q→r
∴p→r
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon