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PECT PAPA: Problem Solving & Reasoning in Math 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. 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 2 2. 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 3 3. Simplify: 24 / 22 + 6 * 3

Question 4 4.

Which is not an element of set A?

A = {1, 2, {3}, 5, {8, 9}, 20}

Question 5 5. 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 6 6. Making relationships and comparisons with a known concept in order to understand an unknown concept is the definition of which principle?

Question 7 7. Most advanced mathematical proofs use which type of reasoning?

Question 8 8. Provide a counterexample for the proposition: All numbers are either prime or composite.

Question 9 9. An easy and efficient method to use when estimating is what?

Question 10 10. What is the cardinality of the empty set?

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Question 11 11. What is a concise phrase that sums up the definition of estimate?

Question 12 12. Let h(x) = 10. Find h(9).

Question 13 13. Which logic connective has a symbol that looks like an upside down V (or a tepee that traps things inside)?

Question 14 14. Which is a counterexample to the conditional statement? If you understood this lesson, then you will do well on this quiz.

Question 15 15. Simplify: 40 - 6 * 22 / 4 + 6

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Question 16 16. Simplify: 42 - (23 / (4 * 2))

Question 17 17. Let f(x) = x^2 + 4 and g(x) = 7x + 13. Find g(f(3)).

Question 18 18. What single word best describes Negation logic?

Question 19 19. Simplify: 7 * 5 - 2 + 11

Question 20 20. How is estimating helpful when solving math problems in an academic setting?

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Question 21 21. Simplify: [6 * (4 - 2) + 6] / 32

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

Question 23 23. 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?

Question 24 24. Given 51 * 28, what is a valid estimated answer?

Question 25 25. Evaluate f(x) = x - 11 for f(4).

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Question 26 26. Using a known formula to calculate a solution to an algebra equation is an example of which type of reasoning?

Question 27 27. The difference between equal and equivalent exemplifies which principle?

Question 28 28. Which is a counterexample to the proposition: All meat comes from pigs.

Question 29 29. The statement 'multiplying always results in a larger number than the ones you started with' is disproved when multiplying a positive number with a negative number. This is an example of which principle?

Question 30 30. The volume of a cube with edge length e is given by the function V(e) = e^3. Find V(7).

PECT PAPA: Problem Solving & Reasoning in Math 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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