Name:_________________________________________Score:ABCDExtraCreditEarned:________RadicalExpressions&EquationsTestReview

Pleasesimplifyeachradicalexpression.1. 72

2. 125

3. 𝑥!"

4. 27𝑐!𝑑!"𝑒!

5. 50𝑥!𝑦!

6. 7 5 + 3 5

7. 12 6 + 5 6 − 2 72

8. 20𝑥! − 𝑥 80𝑥

9. 9 ∙ 4

10. 3( 12 − 6 3)

11. ( 5𝑥!𝑦!)( 6𝑥!𝑦)

12. 13 + 𝑥 13 − 𝑥

13. 3 𝑎 27𝑎! − 𝑎

14. 4𝑥!𝑦! + 9𝑥! 𝑥!𝑦!-5xy 𝑥!𝑦!

15. 21𝑟 5 + 7

16. 14𝑥!

17. 3 − 𝑥!

18. !"!!

!

19. ! !"!!

!!

20. !"!!!

!"!!!

Name:_________________________________________Score:ABCDExtraCreditEarned:________RadicalExpressions&EquationsTestReview

21. !"!!

!

22. !!!

!

23. !! !!

24. !!!!

25. !!! !

26. !!! !

Pleasesolve.Checkyoursolutions.

27. 𝑥 = 7

28. 2𝑥 = 5

29. 2 𝑥 − 16 = 0

30. 4 − 2𝑥 + 3 = 5

31. 2𝑥 + 1 + 4 = 3

32. 𝑥 = 6𝑥 − 8

33. 2𝑥 = 1 − 2𝑥

34. 4 𝑦 − 7 = 17

35. 4𝑥 + 9 = 2𝑥 + 3

36. −4 𝑦 = 16

37. ThePythagoreantheoremstatesthatthelengthsofthethreesidesofarighttrianglearerelatedaccordingtotheequation:

𝑎! + 𝑏! = 𝑐! wherecisthelengthofthehypotenuseandaandbarethelengthsofthetwosidesofthetriangle.Ifarighttrianglehasahypotenuseof5 5cmandonesidethatistwiceaslongastheotherside,whatisthelengthofitsshortestsides?Expressyouranswerasasimplifiedradical.

Name:_________________________________________Score:ABCDExtraCreditEarned:________RadicalExpressions&EquationsTestReview

38. Jasonhasarectangularcontainer

thatis2𝑥 5feetwide, !!feettall,

and5 𝑥feetdeep.WhatexpressiongivesthevolumeofJason’scontainer?Besuretowritetheexpressioninitssimplestform.

39. BothPauloandAliciahavesquarevegetablegardensintheirbackyard,althoughPaulo’sgardenislargerthanAlicia’s.ThelengthofonesideofPaulo’sgardenis4𝑥 3feet,whereasthelengthofonesideofAlicia’sgardenis15 𝑥feet.IftheareaofPaulo’sgardenis1.5timesgreaterthanthatofAlicia’sgarden,whatisthevalueofx?Roundyouranswertothenearestwholenumber.

Pleaserewriteeachrationalexponentasaradical.DONOTMULTIPLY.

40. 𝑥!!

41. (3𝑥)!!

42. (𝑥 − 5)!!

43. (2𝑥 + 6)!!

44. (8𝑥!)!!

45. (𝑥𝑦 − 5)!!

*Unlikeprevioustests,thisreview

doesNOTmirrorthetest.The

concepts/practiceproblemson

thisreviewWILLberepresented

onthetest,buttheformatmay

differ,i.e.somequestionswillbe

multiplechoice;somequestions

willbeapplication(word)

problems;somequestions;etc.