radical expressions and equations test review
TRANSCRIPT
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.