Radical Expressions and Equations Test Review

Name: _________________________________________ Score: A B C D Extra Credit Earned:________ Radical Expressions & Equations Test Review

Please simplify each radical expression.

1. 72

11. ( 5!!)( 6!)

2. 125

12. 13 + 13 -

3. !" 4. 27!!"! 5. 50!! 6. 7 5 + 3 5 7. 12 6 + 5 6 - 2 72 8. 20! - 80 9. 9 4 10. 3( 12 - 6 3)

13. 3 27! -

14. 4!! + 9! !! - 5xy !!

15. 21 5 + 7

!

16. 14

!

17. 3 -

18. !"!!

!

19. ! !"!!

!!

20.

!"!!! !"!!!

Name: _________________________________________ Score: A B C D Extra Credit Earned:________ Radical Expressions & Equations Test Review

21. !"!!

!

32. = 6 - 8

22. !!!

!

23. !! !

!

24. !

!!!

25. !

!! !

26. !

!! !

Please solve. Check your solutions. 27. = 7 28. 2 = 5 29. 2 - 16 = 0

33. 2 = 1 - 2

34. 4 - 7 = 17

35. 4 + 9 = 2 + 3

36. -4 = 16

37. The Pythagorean theorem states that the lengths of the three sides of a right triangle are related according to the equation: ! + ! = !

where c is the length of the hypotenuse and a and b are the lengths of the two sides of the triangle. If a right triangle has a hypotenuse of 5 5 cm and one side that is twice as long as the other side, what is the length of its shortest sides? Express your answer as a simplified radical.

30. 4 - 2 + 3 = 5

31. 2 + 1 + 4 = 3

Name: _________________________________________ Score: A B C D Extra Credit Earned:________ Radical Expressions & Equations Test Review

38. Jason has a rectangular container that is 2 5 feet wide, ! feet tall,

!

and 5 feet deep. What expression gives the volume of Jason's container? Be sure to write the expression in its simplest form.

*Unlike previous tests, this review does NOT mirror the test. The concepts/practice problems on this review WILL be represented on the test, but the format may differ, i.e. some questions will be

39. Both Paulo and Alicia have square vegetable gardens in their backyard, although Paulo's garden is larger than Alicia's. The length of one side of Paulo's garden is 4 3 feet, whereas the length of one side of Alicia's garden is 15 feet. If the area of Paulo's garden is 1.5 times greater than that of Alicia's garden, what is the value of x? Round your answer to the nearest whole number.

multiple choice; some questions will be application (word) problems; some questions; etc.

Please rewrite each rational exponent as a radical. DO NOT MULTIPLY.

!

40. !

!

41. (3)!

!

42. ( - 5)!

!

43. (2 + 6)!

!

44. (8!)!

!

45. ( - 5)!

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