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Unit 2 Test Review

Total questions: 40

Worksheet time: 20mins

Name
Class
Date
1.

What is the hypothesis of the following conditional statement?


If a number is even, then it is not prime.

a)

a number is even

b)

it is not prime

c)

a number is odd

d)

it is prime

2.

What is the conclusion of the following conditional statement?


If a number is even, then it is not prime.

a)

a number is even

b)

it is prime

c)

it is not prime

d)

a number is odd

3.

What is the hypothesis of the following conditional statement?


If I study hard for my test, then I will get a good grade.

a)

I do not study

b)

I will get a good grade

c)

I will not get a good grade

d)

I study hard for my test

4.

What is the conclusion of the following conditional statement?


If I study hard for my test, then I will get a good grade.

a)

I study hard for my test

b)

I will not study

c)

I will get a good grade

d)

I will not get a good grade

5.

What is the hypothesis of the following conditional statement?


If I multiply a number by two, then it will be even.

a)

it will be even

b)

I multiply a number by two

c)

it will be odd

d)

I divide a number by two

6.

What is the conclusion of the following conditional statement?


If I multiply a number by two, then it will be even.

a)

it will be even

b)

I multiply a number by two

c)

it will equal 10

d)

it will be odd

7.

Which of the following is the negation of the given statement:


Whataburger has the best burger in town.

a)

Whataburger has the best patty melt in town.

b)

Sometimes Whataburger has the best burger in town.

c)

Whataburger does not have the best burger in town.

d)

Whataburger always has the best burger in town.

8.

Which of the following is the negation of the given statement:


Apple computers are the fastest in the market.

a)

Apple computers are the best in the market.

b)

Apple computers do not function properly.

c)

Apple computers are known to break down occasionally.

d)

Apple computers are not the fastest in the market.

9.

Which of the following is the negation of the given statement:


Disney World is the best place to vacation with a family.

a)

Disney World is not the best place to vacation with a family.

b)

Disney World is always the best place to vacation with a family.

c)

Disney World is the best place to vacation with your friends.

d)

Disney World is not fun because it is always crowded.

10.

Which of the following is the inverse of the following statement:


If I drink a lot of water, then I will stay hydrated.

a)

If I don't drink a lot of water, then I will not stay hydrated.

b)

If I drink a lot of water, then I will stay hydrated.

c)

If I stay hydrated, then I will drink a lot of water.

d)

If I don't stay hydrated, then I won't drink a lot of water.

11.

Which of the following is the inverse of the following statement:


If a figure is a square, then it is a rhombus.

a)

If a figure is a rhombus, then it is a square.

b)

If a figure is not a rhombus, then it is not a square.

c)

If a figure is a square, then it is a rhombus.

d)

If a figure is not a square, then it is not a rhombus.

12.

Which of the following is the converse of the following statement:


If a figure is a square, then it is a rhombus.

a)

If a figure is a rhombus, then it is a square.

b)

If a figure is a square, then it is a rhombus.

c)

If a figure is not a rhombus, then it is not a square.

d)

If a figure is not a square, then it is not a rhombus.

13.

Which of the following is the contrapositive of the following statement:


If a figure is a square, then it is a rhombus.

a)

If a figure is a rhombus, then it is a square.

b)

If a figure is a square, then it is not a rhombus.

c)

If a figure is not a square, then it is a rhombus.

d)

If a figure is not a rhombus, then it is not a square.

14.

Which of the following statements is correct regarding the truth of the inverse of the given conditional statement?


If you have 100 pennies, then you have a dollar.

a)

The inverse is true.

b)

The inverse is false. Four quarters would be a counterexample.

c)

The inverse is false. Seven dollars would be a counterexample.

d)

The truth of the inverse cannot be determined.

15.

Which of the following statements is correct regarding the truth of the converse of the given conditional statement?


If you have 100 pennies, then you have a dollar.

a)

The converse is true.

b)

The converse if false. A dollar bill would be a counterexample.

c)

The converse if false. Twenty pennies would be a counterexample.

d)

The truth of the converse cannot be determined.

16.

Which algebraic property is represented by the following conditional statement?


If 4x=60, then x=15.

a)

Symmetric Property

b)

Transitive Property

c)

Multiplication Property

d)

Subtraction Property

e)

Division Property

17.

Which algebraic property is represented by the following conditional statement?


If x=5 and 5=w, then x = w.

a)

Transitive Property

b)

Division Property

c)

Reflexive Property

d)

Symmetric Property

e)

Multiplication Property

18.

Which algebraic property is represented by the following conditional statement?


If 9, then 9=9.

a)

Division Property

b)

Multiplication Property

c)

Reflexive Property

d)

Transitive Property

e)

Addition Property

19.

Which algebraic property is represented by the following conditional statement?


If 2x - 10 = 23, then x = 33.

a)

Addition Property

b)

Transitive Property

c)

Division Property

d)

Distributive Property

e)

Reflexive Property

20.

Which algebraic property is represented by the following conditional statement?


If XY=GR, then GR=XY.

a)

Transitive Property

b)

Division Property

c)

Multiplication Property

d)

Distributive Property

e)

Symmetric Property

21.

Which algebraic property is represented by the following conditional statement?


If a(x+5)=7 and a=3, then 3(x+5)=7.

a)

Symmetric Property

b)

Addition Property

c)

Substitution Property

d)

Distributive Property

e)

Multiplication Property

22.

Which algebraic property is represented by the following conditional statement?


If 8(x+2) = 4, then 8x + 16 = 4.

a)

Substitution Property

b)

Addition Property

c)

Multiplication Property

d)

Distributive Property

e)

Reflexive Property

23.

Which algebraic property is represented by the following conditional statement?
 


If  x5=20\frac{x}{5}=20  , then  x = 100x\ =\ 100  . 

a)

Multiplication Property 

b)

Symmetric Property 

c)

Reflexive Property 

d)

Division Property 

e)

Substitution Property 

24.

GIVEN: 6(x−2)=126\left(x-2\right)=12  

PROVE:  x=4x=4  



What is the reason for statement #2? 
                      

a)

Subtraction Property 

b)

Distributive Property 

c)

Multiplication Property 

d)

Reflexive Property 

e)

Addition Property 

25.

What is the reason for statement #1?

a)

Prove

b)

Given

c)

Division Property

d)

Addition Property

e)

Reflexive Property

26.

What is the reason for statement #2?

a)

Given

b)

Symmetric Property

c)

Reflexive Property

d)

Distributive Property

e)

Substitution Property

27.

What is the reason for statements #3?

a)

Reflexive Property

b)

Reflexive Property

c)

Multiplication Property

d)

Substitution Property

e)

Distributive Property

28.

What is the reason for statement #4?

a)

Multiplication Property

b)

Distributive Property

c)

Substitution Property

d)

Addition Property

e)

Reflexive Property

29.

What is the reason for statement #5?

a)

Addition Property

b)

Reflexive Property

c)

Prove

d)

Given

e)

Subtraction Property

30.

What is the reason for statement #6?

a)

Division Property

b)

Multiplication Property

c)

Reflexive Property

d)

Given

e)

Distributive Property

31.

Which type of reasoning uses facts, definitions, accepted properties, and the laws of logic to form a logical statement?

a)

Inductive Reasoning

b)

Deductive Reasoning

c)

Counterexample

d)

Conditional

32.

Which type of reasoning uses patterns to form generalizations and conjectures for a general case?

a)

Deductive Reasoning

b)

Bi-Conditional

c)

Conditional

d)

Inductive Reasoning

33.

What is the reason for statement #1?

a)

Addition Property

b)

Reflexive Property

c)

Prove

d)

Given

e)

Subtraction Property

34.

What is the reason for statement #2?

a)

Addition Property

b)

Distributive Property

c)

Prove

d)

Given

e)

Subtraction Property

35.

What is the reason for statement #3?

a)

Addition Property

b)

Distributive Property

c)

Symmetric Property

d)

Reflexive Property

e)

Subtraction Property

36.

What is the reason for statement #4?

a)

Addition Property

b)

Distributive Property

c)

Symmetric Property

d)

Reflexive Property

e)

Division Property

37.

A conditional statement is a statement that can be written in the form  P\rightarrow Q  . Which of the following represents the inverse of the above conditional statement? 

a)

 ∼P→∼Q\sim P\rightarrow\sim Q  

b)

 ∼Q→P\sim Q\rightarrow P  

c)

 ∼Q→∼P\sim Q\rightarrow\sim P  

d)

 Q→PQ\rightarrow P  

38.

A conditional statement is a statement that can be written in the form  P\rightarrow Q  . Which of the following represents the converse of the above conditional statement? 

a)

 ∼P→∼Q\sim P\rightarrow\sim Q  

b)

 ∼Q→P\sim Q\rightarrow P  

c)

 ∼Q→∼P\sim Q\rightarrow\sim P  

d)

 Q→PQ\rightarrow P  

39.

A conditional statement is a statement that can be written in the form  P\rightarrow Q  . Which of the following represents the contrapositive of the above conditional statement? 

a)

 ∼P→∼Q\sim P\rightarrow\sim Q  

b)

 ∼Q→P\sim Q\rightarrow P  

c)

 ∼Q→∼P\sim Q\rightarrow\sim P  

d)

 Q→PQ\rightarrow P  

40.

Are you ready for your Test today?!

a)

Absolutely not

b)

No

c)

Kind of

d)

YES!!

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