Math 7/8 Unit 2: Working with Radicals

1. Math 7/8Unit 2: Working with Radicals Review

3. #1 Simplify and rewrite with positive exponents. a) b)

4. #1 Answer a) b)

5. #2 Simplify: a) b)

6. #2 Answer a) b)

7. #3 How much greater is 7.9 x 10³ than

8. # 3 Answer 7899.969

9. #4 Simplify: a) b)

10. #4 Answer a) b)

11. A B C D -1 0 1 2 3 4 5 #5 Which point on the number line is closest to

12. #5 Answer D

13. #6 Solve:

14. #6 Answer 23

15. #7 Estimate the

16. #7 Answer

17. #8 Which of the following radicals is rational? a) b) c) d)

18. #8 Answer

19. #9 Simplify:

20. #9 Answer

21. #10

22. #10 Answer

23. #11 Simplify:

24. #11 Answer

25. #12 What is when n = 4?

26. #12 Answer 64

27. #13 Simplify: A) B) C) D)

28. #13 Answer a) 8² = 64 b) 1 c) d) 1

29. #14 Simplify:

30. #14 Answer

31. #15 Simplify the quotient and write the answer in scientific notation.

32. #15 Answer

33. #16 What is the product of 90,000 x 40 written in scientific notation?

34. #16 Answer

35. #17 What is the standard form of

36. #17 Answer .0000042

37. #18 To the nearest meter, how long is the diagonal of an 18m by 24m field?

38. #18 Answer 30 meters

39. #19 The area of a square field is 4900 ft², how would you find the distance from 1st base to 3rd base?

40. #19 Answer You would find the square root of 4900, then substitute the square root into the legs for the Pythagorean Theorem and solve for the hypotenuse

41. #20 A 20-ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, about how high does the top of the ladder reach?

42. #20 Answer About 19.8 ft.

43. #21 You are building a wooden box. The largest board you have is 26 ft. What would be the length of the other two sides? • 9 ft and 25 ft. b) 7 ft and 23 ft. c) 6 ft and 23 ft. d) 10 ft and 24 ft

44. #21 Answer D) 10 ft and 24 ft

45. #22 State whether you agree or disagree with this statement and explain why: “All radical expressions are irrational.”

46. #22 Answer Disagree – a radical expression could be a perfect square, therefore resulting in a positive or negative integer that is rational

47. #23 How do you know which side of a right triangle is the hypotenuse?

48. #23 Answer The hypotenuse is across from the right angle

49. #24 Why is scientific notation useful?

50. #24 Answer It is an easier way to write/read very large or very small numbers