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# Big Ideas Math 8th Grade Chapter 7: Real Numbers & the Pythagorean Theorem 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!

### Page 1

#### Question 1 1. Estimate √125 to two decimal places.

#### Question 2 2. What is the Pythagorean Theorem and how is it used?

#### Question 3 3. Jerry wants to buy a TV online, but the ad for the TV he wants to buy does not say what the screen size is. He knows that TV screens are measured diagonally. This image shows the length and width of the screen, so he decides to use the Pythagorean Theorem to determine the diagonal screen size. What is the screen size of the TV that Jerry wants to buy (to the nearest inch)?

#### Question 4 4. Estimate √88 to two decimal places.

#### Question 5 5. Solve:

### Page 2

#### Question 6 6. You are standing at the point (2,3) on a graph. Which point is closer: (-1,2) or (4,6)?

#### Question 7 7. A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television?

#### Question 8 8. Estimate the value of √44 to two places past the decimal.

#### Question 9 9. Which of the following is the equation for the Pythagorean Theorem?

#### Question 10 10. Which of the following is a right triangle?

### Page 3

#### Question 11 11. Which of the following measurements produces a valid right triangle?

#### Question 12 12. The converse of the Pythagorean Theorem says what?

#### Question 13 13. Solve:

#### Question 14 14. Which of the following triangles will the Pythagorean Theorem work for?

#### Question 15 15. What is the cube root of 64?

### Page 4

#### Question 16 16. The Pythagorean Theorem is a special case of what?

#### Question 17 17. A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

#### Question 18 18. If two sides of a right triangle measures 6 and 8 inches, what does the hypotenuse measure?

#### Question 19 19. What is the definition of a cube root?

#### Question 20 20. Which of the following is true?

### Page 5

#### Question 21 21. Solve:

#### Question 22 22. Who is credited with proving the Pythagorean Theorem?

#### Question 23 23. Which of the following numbers has an imperfect square root?

#### Question 24 24. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

#### Question 25 25. Solve:

### Page 6

#### Question 26 26. Which of the following is not a right triangle?

#### Question 27 27. Which of the following is the law of cosines?

#### Question 28 28. Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem.

#### Question 29 29. Solve:

#### Question 30 30. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

#### Big Ideas Math 8th Grade Chapter 7: Real Numbers & the Pythagorean Theorem 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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