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# Logical Reasoning & Visual Representations of Data Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. Which of the following connectors is the logical disjunction?

#### Question 2 2. Most advanced mathematical proofs use which type of reasoning?

#### Question 3 3. In a 2-column proof, what goes in the column on the left?

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Question 4
4.
If the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

#### Question 5 5. What is in the left column of an algebraic proof?

### Page 2

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Question 6
6.
Which of the following is the 'given' part of the algebraic proof for this problem?

Solve 21 - 4x = 11 + 3x.

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Question 7
7.
To solve this problem, which mathematical rule applies?

11x = 121

#### Question 8 8. Which of the following is a conditional statement whose hypothesis is 'Joe has a red car' and whose conclusion is 'Billy gets to drive it'?

#### Question 9 9. Which is the correct definition of a disjunction?

#### Question 10 10. Tony went swimming at a nearby lake one summer day. There were very few other swimmers there. Later, he told his friend that he had found a great new lake for swimming. He explained that it was great because no one else ever went there. What type of reasoning was Tony using?

### Page 3

#### Question 11 11. Use the Venn Diagram.

#### Question 12 12. Use the Venn Diagram.

#### Question 13 13. Which of the following occurs with a direct proof?

#### Question 14 14. Using a known formula to calculate a solution to an algebra equation is an example of which type of reasoning?

#### Question 15 15. A statement can be determined to be which of the following through a direct proof?

### Page 4

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Question 16
16.
If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream.

Which of the following represents the conclusion in the above conditional statement?

#### Question 17 17. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

#### Question 18 18. Use the Venn Diagram.

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Question 19
19.
Which is a correct logical disjunction formed with the following phrases?

Algebra is easy.

Geometry is a breeze.

#### Question 20 20. Which of the following is a conditional statement?

### Page 5

#### Question 21 21. If you start with what you know about a specific scenario and generalize that information to a whole population, what type of reasoning are you using?

#### Question 22 22. Use the Venn Diagram. Which of the following is ∈ A?

#### Question 23 23. All of the following statements could be proven with a direct proof EXCEPT:

#### Question 24 24. How many columns are in an algebraic proof?

#### Question 25 25. Which of the following connectors is the logical conjunction?

### Page 6

#### Question 26 26. If x = 1 and y = 2, what can be said about z if z = xy?

#### Question 27 27. What is the hypothesis in the following statement? 'If p is an even integer and q is an odd integer, then p + q is an odd integer.'

####
Question 28
28.
If he eats a hamburger, then he will eat two bags of fries.

Which of the following represents the hypothesis in the above conditional statement?

####
Question 29
29.
Which is a correct logical conjunction formed with the following phrases?

Drew likes roses.

Drew loves lilies.

#### Question 30 30. Use the Venn Diagram. Which of the following is ⊆ A?

#### Logical Reasoning & Visual Representations of Data Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!