# Mathematical Reasoning & Problem-Solving Chapter Exam

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#### Question 1 1. The fact that positive numbers are larger than negative numbers is an example of which principle?

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Question 2
2.
Which type of logical fallacy is illustrated in the example below?

I will get an A in math class because I spent many sleepless nights studying.

#### Question 3 3. If I have already solved a problem but am solving the problem again using a different method to see if I get the same answer, I am at which step of Polya's Four-Step Problem Solving Process?

#### Question 4 4. Which statement is an example of circular reasoning?

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Question 5
5.
If a = c and b = c, what kinds of new statements can you make?

A: If a = c and b = c, then a = b.

B: If a = 1, then b = 1.

C: If b = 2, then a = 1.

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#### Question 6 6. The difference between equal and equivalent exemplifies which principle?

#### Question 7 7. How could you use the 'By Example' method to understand the mathematical concept of greater than (>)?

#### Question 8 8. If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which type of reasoning are you using?

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Question 9
9.
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?

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Question 10
10.
Which type of logical fallacy is illustrated below?

This chocolate pie must be bad because nobody is taking it.

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Question 11
11.
What kind of reasoning does the statement below illustrate?

My phone starts to ring whenever my cat starts to purr.

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Question 12
12.
Which is a correct logical disjunction formed with the following phrases?

Algebra is easy.

Geometry is a breeze.

#### Question 13 13. 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 14 14. Which of the following is a conditional statement?

#### Question 15 15. What is a Mathematical Model?

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Question 16
16.
Which is a correct logical conjunction formed with the following phrases?

Drew likes roses.

Drew loves lilies.

#### Question 17 17. What is an example of a logical fallacy?

#### Question 18 18. Which of the following connectors is the logical conjunction?

#### Question 19 19. How is estimating helpful when solving math problems in an academic setting?

#### Question 20 20. What is a concise phrase that sums up the definition of estimate?

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Question 21
21.
p: The dog rolls over on command.

q: The dog gets a treat.

For the combination p AND q, for which truth values of p and q is the combination true?

#### Question 22 22. Identifying all relevant and irrelevant information in a problem is part of which step of Polya's Process?

#### Question 23 23. Which of the following connectors is the logical disjunction?

#### Question 24 24. If x = 1 and y = 2, what can be said about z if z = xy?

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Question 25
25.
Which type of logical fallacy is illustrated below?

The moon is made of cheese because it looks like cheese and no one has ever eaten the moon.

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Question 26
26.
The statement: *If a shape has four equal sides with four right angles, then it is a square* is an example of which logic connective?

#### Question 27 27. Use estimation to find an estimate of the correct answer to 515 + 113 + 280 + 425. Using this information, choose the exact answer from the possibilities given.

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Question 28
28.
The statement *A pet can be a quiet companion or a playmate (or both)* is an example of which logic connective.

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Question 29
29.
Which logical fallacy is shown below?

Statement 1: If the deer has a red nose, then it is a reindeer.

Statement 2: If it is a reindeer, then the deer has a red nose.

#### Question 30 30. What well-known mathematical model could you use to determine the size (in square feet) of your rectangular backyard?

#### Mathematical Reasoning & Problem-Solving 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!