Unit 3 Test Logic

Given:
p: It will rain on Saturday.
q: We will play in the park.
Which is a symbolic representation of the following argument?

If it does not rain on Saturday, then we will play in the park.

It will rain on Saturday and we will play in the park

We will play in the park if and only if it rains on Saturday

Let p= It is cold

Let q= It is snowing

Symbolically represent the following argument

It is not cold therefore it is not snowing​ ​ ​ (a)  

It is cold​ ​ (b)   ​ ​

If it is snowing then it is cold​ ​ (c)   ​ ​

​

• x = 4

• x = -2

• x = 2

• x = -4

Tags

CCSS.HSA.REI.B.4

Which of the following conjectures is false?

• The product of two even numbers is even.
• The sum of two even numbers is even.
• The product of two odd numbers is odd.
• The sum of two odd numbers is odd.

Tags

CCSS.3.OA.B.5

CCSS.3.OA.D.9

Write the converse, inverse, and contrapositive of each statement. (match)

If x is an odd number, then 3x is an odd number.

• converse

• If x is not an odd number, then 3x is not an odd number.

• inverse

• If 3x is an odd number, then x is an odd number.

• contrapositive

• If 3x is not an odd number, then x is not an odd number.

  Rewrite the following statement as a      biconditional: "Supplementary angles add up to 180"

• If two angles add up to 180^o then they are supplementary.
• You can't it is conditional.
• Two angles are supplementary if and only if the sum of the measure of the two angles is 180^o.
• If two angles sum does not equal 180^o then they are not supplementary.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Identify a valid conclusion using the Law of Syllogism assuming that the following statements are true:

If Alison goes to work, then she will get paid.

If Alison gets paid, then she will go to the movies.

• If Alison goes to work, then she will get paid.

• If Alison goes to work, then she will go to the movies.

• If Alison gets paid, then she will go to the movies.

• No Conclusion

Identify a valid conclusion using the Law of Detachment assuming that the following statements are true:

If I get good grades in high school, I will be going to college.

I got all good grades in high school.

• I got scholarship

• I am not going to college

• I am going to high school

• I am going to college

Using the Law of contra-positive, identify the conclusion.

If I go to the store, I will buy so many pants.

I didn't buy pants.

• I didn't go to store

• I forgot to go store

• I have so many pants

• No conclusion

Which of these sets is B'?

• {10, 11, 13, 16, 17, 20, 19}

• { 12, 14, 15, 18, 21}

• {10, 11, 13, 16, 17, 19, 20, 14}

• {10, 11, 13, 16, 17, 19, 20, 14, 21}

Tags

CCSS.HSS.CP.A.1