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Problem Solving & Reasoning Skills Chapter Exam

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!

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Question 1 1. Which of the following is a conditional statement?

Question 2 2. What is Polya's Four-Step Problem Solving Process?

Question 3 3. Given 51 * 28, what is a valid estimated answer?

Question 4 4. 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 5 5. If I drew a picture to help illustrate a point when solving a math problem, I would be using which method of the Three-Way principle?

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Question 6 6. How could you use the 'By Example' method to understand the mathematical concept of greater than (>)?

Question 7 7. What is the volume of a box with no lid and all sides of equal length that has a surface area of 125 square meters?

Question 8 8. 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 9 9. If x = 1 and y = 2, what can be said about z if z = xy?

Question 10 10. How is estimating helpful when solving math problems in an academic setting?

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Question 11 11. Using a known formula to calculate a solution to an algebra equation is an example of which type of reasoning?

Question 12 12.

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.

Question 13 13.

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

Theresa loves dogs.

Spot is a dog.

Question 14 14. An easy and efficient method to use when estimating is what?

Question 15 15.

An example of which topic discussed in this lesson is shown below?

Statement 1: All quadrilaterals are parallelogramps.

Statement 2: Kite

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Question 16 16. 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?

Question 17 17. What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?

Question 18 18. In the IDEAL Strategy, what does the letter 'D' stand for?

Question 19 19. Which of the following is NOT one of the five main logic connectives?

Question 20 20.

Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

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Question 21 21.

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

Drew likes roses.

Drew loves lilies.

Question 22 22. The fact that positive numbers are larger than negative numbers is an example of which principle?

Question 23 23. The statement A pet can be a quiet companion or a playmate (or both) is an example of which logic connective.

Question 24 24. What is the volume of the cube created by taking two 6 by 2 strips of paper, folding them into thirds, and using each third as a side of the square?

Question 25 25. When an instructor shows many different examples for the same concept, that instructor is using which method to understand the problem?

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Question 26 26. 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 27 27.

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 28 28.

To understand a set, you must understand that a set is a grouping together of items based on a pre-stated condition of inclusion.

This is an example of which principle of the 3-Way Principle of mathematics?

Question 29 29. Identifying all relevant and irrelevant information in a problem is part of which step of Polya's Process?

Question 30 30.

p: The pond is not frozen over.

q: The fish are not jumping.

For the combination p AND (NOT q), for which truth values of p and q is the combination true?

Problem Solving & Reasoning Skills 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!

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