FTCE Middle Grades Math: Problem-Solving Strategies 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. Identifying all relevant and irrelevant information in a problem is part of which step of Polya's Process?

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

Question 3 3. What is a Mathematical Model?

Question 4 4. Why are models not always accurate?

Question 5 5. 3x = 9.9

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Question 6 6. x - 2 = 8.5

Question 7 7. 67 - 34

Question 8 8. 89 - 12

Question 9 9.

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 10 10. 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 11 11. Which of the following scenarios would indicate that working backwards is a good solving process to use?

Question 12 12. Suppose one of the statements in a word problem is 'you give 5 apples away'. How do you undo this step of the problem while working backwards?

Question 13 13. 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 14 14. The difference between equal and equivalent exemplifies which principle?

Question 15 15. Which of the following statements are true?

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Question 16 16. To use mental math to solve the equation 7x = 70, we would translate 'a number multiplied by 7 equals 70' into the question 'what number multiplied by 7 equals 70'. Use this information to solve the equation 7x = 70 mentally.

Question 17 17. Using only the powers of your mind, what is 3 * 40?

Question 18 18. Using only your brain, what is 6 * 50?

Question 19 19. Jean-Phillip likes to draw bar graphs of his spending habits, to help him understand his expenses so he can manage his money. What general type of problem-solving strategy is Jean-Phillip using?

Question 20 20. Hanna isn't sure what topic to pick for her public speaking class, so she decides to draw out possible solutions in a visual way, to help her explore the options. She writes down different ideas, circles them, then draws lines connecting different related ideas. Which problem-solving strategy is Hanna using?

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Question 21 21. If we want to find the surface area of the inside of a swimming pool with the dimensions 2 m deep x 10 m wide x 30 m long, then why is this surface area different from a rectangular prism with the dimensions 2 m deep x 10 m wide x 30 m long?

Question 22 22. 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 23 23. What is a concise phrase that sums up the definition of estimate?

Question 24 24. An easy and efficient method to use when estimating is what?

Question 25 25. 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?

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Question 26 26. What well-known mathematical model could you use to determine the size (in square feet) of your rectangular backyard?

Question 27 27. x + 4.1 = 5

Question 28 28. Add 101 + 28.

Question 29 29. 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?

Question 30 30. Suppose you go for a walk to visit three different sites. You leave home and walk for 15 minutes to the first site. Next, you walk for 20 minutes to the second site. Last, you walk for 10 minutes to the last site. At this point, it is 3:05 PM. Use working backward to figure out what time you left your house.

FTCE Middle Grades Math: Problem-Solving Strategies 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!

FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide  /  Math Courses
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