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WorksheetsChapter 2 Review
Total questions: 25
Worksheet time: 41mins
Name
Class
Date
1.
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
2.
Write the if-then statement that follows from the pair of true statements. 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.
3.
Write the if-then statement that follows from the pair of true statements. If Todd goes to the movies, then Sarah will go to the movies. If Chris goes to the movies, then Todd will go to the movies.
a)
If Chris goes to the movies, then Sarah will go to the movies.
b)
If Todd goes to the movies, then Chris will go to the movies.
c)
If Sarah goes to the movies, then Chris will go to the movies.
d)
If Chris goes to the movies, then Todd will go to the movies.
4.
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.
If you earn more than $14, then you can buy a new CD.
You earn $15.
a)
you can buy a new CD
b)
you cannot buy a new CD
c)
no conclusion can be made
d)
you earn more than $14
5.
What is the if-then statement that follows by the Law of Syllogism?
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft2.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft2.
a)
If the side of a square is 5 ft, then the perimeter is 20 ft.
b)
If the perimeter of a square is 20 ft, then the area is 25 ft2
c)
If the area of a square is 25 ft2, then the side length is 5 ft.
d)
If the are of a square is 25 ft2, then the perimeter is 20 ft.
6.
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
7.
Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
If you make an insurance claim, then your rates will go up.
a)
If your insurance rates do not go up , then you have not maid a claim.
b)
If you do not make an insurance claim, then your rates will not go up.
c)
If your insurance rates go up, then you have made an insurance claim.
d)
If you make an insurance claim, then your rates will not go up.
8.
Identify the hypothesis. "If the car is running, then the key is in the ignition."
a)
The car is running
b)
The key is in the ignition
9.
Which is the correct if-then statement for: "you will be late to school if you miss the bus."
a)
If you are late to school, then you will miss the bus.
b)
If you miss the bus, then you will be late to school
10.
Identify the conclusion. "If the measure of an angle is 60o, then the angle is acute."
a)
the measure of an angle is 60o
b)
the angle is acute
11.
Identify the hypothesis. "If the measure of an angle is 60o, then the angle is acute."
a)
the measure of an angle is 60o
b)
the angle is acute
12.
By the Law of Detachment, what can you conclude from the statement?
If two planes intersect, then their intersection is a line.
Planes S and T intersect.
If two planes intersect, then their intersection is a line.
Planes S and T intersect.
a)
their intersection is a line
b)
their intersection is a point
c)
no conclusion can be made
d)
the planes are parallel
13.
Given
“If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.”
Which of the following is a valid argument?
“If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.”
Which of the following is a valid argument?
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.
14.
Find the next item in the pattern:
-3, 6, -12, 24, ...
-3, 6, -12, 24, ...
a)
36
b)
-36
c)
48
d)
-48
15.
Complete the conjecture. Think of examples to help.
The sum of an odd number and an even number is ________________
The sum of an odd number and an even number is ________________
a)
even
b)
odd
c)
zero
d)
positive
16.
Which is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.
a)
quadrilateral
b)
rectangle
c)
square
d)
triangle
17.
Which is a counterexample of: Any number divisible by 2 is divisible by 4.
a)
15÷2
b)
20÷4
c)
16÷4
d)
10÷2
18.
Is the following argument best classified as deductive or inductive?
All dogs bark. Fido is a dog, so he barks.
All dogs bark. Fido is a dog, so he barks.
a)
deductive
b)
inductive
19.
Use inductive reasoning to determine the next two terms in each sequence.
2, 4, 8, 16 ,,, , . .
2, 4, 8, 16 ,,, , . .
a)
32, 36
b)
32, 64
c)
20, 24
20.
Todd knows that 3, 5, 7, 11, and 13 are prime numbers. Based on this evidence, he concludes that all prime numbers are odd. Is this an example of inductive or deductive reasoning?
a)
Inductive Reasoning
b)
Deductive Reasoning
21.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
22.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
23.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
24.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
25.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
If angles are not congruent, then the measures of the angles are not equal.
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
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