WorksheetsFinal Exam: Unit 2 Review
Total questions: 42
Worksheet time: 5hrs 30mins
Name
Class
Date
1.
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
a)
It is not Friday
b)
It is Friday
c)
I will not get paid
d)
I will get paid
2.
Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
a)
Look out for the snowplows while driving to school.
b)
The big test will not be given today.
c)
The roads will be hard to drive on.
d)
You should call the school to see if school is canceled.
3.
Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
a)
Therefore, the polygon is a rectangle.
b)
Therefore, the polygon is a regular quadrilateral.
c)
Therefore, the polygon has exactly five congruent angles.
d)
Therefore, the polygon has congruent sides.
4.
(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Detachment
b)
Law of Syllogism
c)
Law of Contrapositive
d)
invalid
5.
Use Law of Syllogism to make a conclusion.
If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.
If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.
a)
If a number is divisible by 10, then it is even,
b)
If a number is even, then it is divisible by 10.
c)
If a number is divisible by 2, then it is even.
d)
If a number is even, then it is divisible by 2.
6.
Using the Law of Detachment, what can you conclude?
If x has a value of 4, then 2x has a value of 8.
The value of x is 4.
If x has a value of 4, then 2x has a value of 8.
The value of x is 4.
a)
x = 4
b)
no conclusion can be made
c)
2x does not have a value of 8
d)
2x has a value of 8
7.
What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.
a)
If Tom goes fishing then he catches a fish.
b)
If Tom brings his pole then he goes fishing
c)
If Tom catches a fish then he brought his pole.
d)
If Tom brings his pole then he catches a fish.
8.
Which of the following statements is valid based on the given scenario?
If Jason plays basketball, then Steve sits on the bench.
If Steve sits on the bench, then Ronald starts at center.
If Jason plays basketball, then Steve sits on the bench.
If Steve sits on the bench, then Ronald starts at center.
a)
If Steve sits on the bench then Jason plays basketball.
b)
If Ronald starts at center then Jason plays basketball.
c)
If Steve sits the bench then Ronald does not start at center.
d)
If Jason plays basketball then Ronald starts at center.
9.
Determine if the conjecture is valid by the Law of Syllogism.
Given: If you are in California, then you are in the west coast. If you are Los Angeles, then you are in California.
Conjecture: If you are in Los Angeles, then you are in the west coast.
Given: If you are in California, then you are in the west coast. If you are Los Angeles, then you are in California.
Conjecture: If you are in Los Angeles, then you are in the west coast.
a)
No, the conjecture is not valid.
b)
Yes, the conjecture is valid.
10.
What is the converse of the statement:
If an animal is a dog, then it does not moo.
If an animal is a dog, then it does not moo.
a)
If an animal is not a dog, then it does moo
b)
If an animal can moo, then it is not a dog
c)
If an animal does not moo, then it is a dog
d)
An animal is a dog if and only if it can moo
11.
Answer these questions by figuring out which of the four figures belongs on the spot of the question mark.
Latin Square Rules
1. A row or column never contains the same figure/number twice.
2. Every row and column contain the same figures/numbers.
Latin Square Rules
1. A row or column never contains the same figure/number twice.
2. Every row and column contain the same figures/numbers.
a)
a
b)
b
c)
c
d)
d
12.
Inductive Reasoning means...
a)
Guessing
b)
Using patterns to make conjectures
c)
Explaining why
d)
Using facts to make generalizations
13.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
14.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
15.
What are the next 3 numbers in the pattern?
320, -160, 80, -40...
a)
20, -10, 5
b)
20, 10, 5
c)
-20, -10, -5
d)
20, 10, 0
16.
What are the next 3 numbers in the pattern?
2, 4, 6, 8, 10...
a)
12, 14, 16
b)
14, 18, 22
c)
12,14, 18
d)
20, 40, 60
17.
How can you prove a conjecture is false?
a)
Counterexample
b)
Not Possible
c)
Patterns
18.
Find the next number in the sequence.
1, -1, 2, -2, 3, ___
1, -1, 2, -2, 3, ___
a)
4
b)
-4
c)
3
d)
-3
19.
Complete the conjecture.
The sum of two negative numbers is ___________.
The sum of two negative numbers is ___________.
a)
positive
b)
negative
c)
odd
d)
even
20.
Since all humans are mortal, and I am human, then I am mortal.
a)
Deductive
b)
Inductive
21.
All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.
a)
Deductive
b)
Inductive
22.
All chickens that we have seen have been brown; so, all chickens are brown.
a)
Deductive
b)
Inductive
23.
Which of the following cannot be assumed from the diagram?
a)
Points A, B, C and E are coplanar
b)
Points F, B and G are colinear
c)
d)
Line EC intersects plane M at point C
24.
ALWAYS, SOMETIMES or NEVER:
Through any three points, there exists exactly one line.
a)
Always
b)
Sometimes
c)
Never
25.
ALWAYS, SOMETIMES or NEVER:
A point is in more than one plane.
a)
Always
b)
Sometimes
c)
Never
26.
ALWAYS, SOMETIMES or NEVER:
Two planes intersect.
a)
Always
b)
Sometimes
c)
Never
27.
a)
True
b)
False
28.
a)
True
b)
False
29.
a)
True
b)
False
30.
a)
True
b)
False
31.
a)
True
b)
False
32.
a)
True
b)
False
33.
What is reason 1?
a)
Subtraction Property of Equality
b)
Transitive Property of Equality
c)
Given
d)
Prove
34.
What is reason 2?
a)
Given
b)
Addition Property of Equality
c)
Subtraction Property of Equality
d)
Substitution Property of Equality
35.
What is reason 3?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
36.
What is reason 4?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
37.
What is reason 5?
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Prove
38.
What is the reason for the statement below?
Given: m∠1 = 63
m∠1 + m∠2 = 90
Prove: 63 + m∠2 = 90
Given: m∠1 = 63
m∠1 + m∠2 = 90
Prove: 63 + m∠2 = 90
a)
Reflexive Property of Equality
b)
Symmetric Property of Equality
c)
Transitive Property of Equality
d)
Substitution Property of Equality
39.
For any numbers a, b, and c, if a = b and b = c, then a = c.
a)
Transitive Property
b)
Symmetric Property
c)
Reflexive Property
d)
Substitution Property
40.
For any numbers a and b, if a = b, then b = a.
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Substitution Property
41.
If 3x + y = 14 and y = 9, then 3x + 9 = 14.
a)
Reflexive Property of Equality
b)
Symmetric Property of Equality
c)
Transitive Property of Equality
d)
Substitution Property of Equality
42.
Which property says that if k = 3, then 3 = k?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
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