Geo to Alg 2 Summer Study
7
Summer Review from Geometry to Algebra 2 Evaluate the following using the given values. 1. p 2 + m ; m = 1, p = 5 2. z( x + y) ; x = 6, y = -4, z = 3 4 3. n 3 + rw ÷ 2 ;n = -3, r = 2 3 ,w= 3 4 Simplify the following. 4. 3x 4 + 5 x − 3x 2 5. 3 3 + 3 2 − 2(3 3 ) 6. −9(6 m − 30 + 6(1 + 4 m) 7. 27 m 2 8. 18a 2 i 4 3a 2 9. 3 (−5 10 + 6 x ) 10. x 4 ( ) −3 i 2 x 4 11. f −5 f 7 ( ) 4 12. 2w 3 r 4 i 4 w 2 r 4 i 3w 3w −3 r 2 Solve the following equations or inequalities. For inequalities, also graph the solutions. 13. −104 = 8 x 14. −6 = m 18 15. −16 + x = −15 16. −10 = −8 + h 17. 6 = 1 − 2 m + 5 18. m + 5 = −5 m + 5
Transcript of Geo to Alg 2 Summer Study
SummerReviewfromGeometrytoAlgebra2Evaluatethefollowingusingthegivenvalues.1. p2 +m ;m=1,p=5
2. z(x + y) ;x=6,y=-4,z= 34 3.n3 + rw ÷ 2 ;n=-3,r= 2
3,w= 3
4
Simplifythefollowing.
4. 3x4
+ 5x − 3x2 5. 3 3 + 3 2 − 2(3 3) 6.−9(6m − 30 + 6(1+ 4m)
7. 27m2 8. 18a2 i 4 3a2
9. 3(−5 10 + 6x )
10. x4( )−3 i 2x4 11. f −5 f 7( )4 12.
2w3r4 i 4w2r4 i 3w3w−3r2
Solvethefollowingequationsorinequalities.Forinequalities,alsographthesolutions.13.−104 = 8x
14.−6 = m18 15.−16 + x = −15
16.−10 = −8 + h
17. 6 = 1− 2m + 5 18.m + 5 = −5m + 5
19.12 = −4(−6x − 3) 20. 6m = 42 21. 3= p −10
22. 7 k = 56 23. w7− 8 = −7
24.−12 > x − 7
25.15 + x ≤ 0 26. 2m3
> 3
27.−9x ≥ −90
28. −v2
< 4 29.−3− 6(4x + 6) > −111 30.−x < −x + 7(x − 2)
31.−9 ≤ 3(2x + 6) < 24
32.y = 6x −11−2x − 3y = −7
⎧⎨⎩
33.y = −24x − 3y = 18
⎧⎨⎩
34.x − y = 112x + y = 19
⎧⎨⎩
35.5x + 4y = −303x − 9y = −18
⎧⎨⎩
36.y ≤ −x − 2y ≥ −5x + 2
⎧⎨⎩
37.Solvetheequationforh.A=lwh
38.Solvetheequationforr.
V = 4π3r2
39.Solvetheequationforw.P = 2l + 2w
40.−6v2 = −414
41. x2 + 8 = 28 42. 7b2 = −21
43. 4h + 5( ) h +1( ) = 04h + 5( ) h +1( ) = 04h + 5( ) h +1( ) = 04h + 5( ) h +1( ) = 04h + 5( ) h +1( ) = 0
44.Solvebyfactoring.x2 −11x +19 = −5
45.Solvebyfactoring.6x2 −18x −18 = 6
46.Solvebyfactoring.7r2 −14r = −7
47.Solveusingthequadraticequation.b2 − 4b + 4 = 0
48.Solveusingthequadraticequation.2v2 + 3v − 20 = 0
49.Solveusingthequadraticequation.2m2 − 7m −13= −10
50.Solveusingthequadraticequation.9n2 = 4 + 7n
51.Solvebycompletingthesquare.p2 + 2p − 3= 0
52.Solvebycompletingthesquare.k2 + 8k +12 = 0
53.Solvebycompletingthesquare.m2 − 2m − 48 = −6
54.Solvebycompletingthesquare.7b2 −14b − 56 = 0
Completelyfactorthefollowing.55. 9x2 −16 56. 4a2 + y2 57. c2 − 4cj + 4 j2
58. 6a2 − 5ab − 4b2 59. 6v3 −16v2 + 21v − 56 60. 6x2 + 7x − 49
Graphthefollowing.61. y = −2x +1
62. y = −x
63. y = −3
64. x = 2
65. (y − 2) = 3(x + 4)
66. (y +1) = 12(x − 2)
67. 2x + 3y = 6
68.−4x + 2y = −8
69. y = − 12x2
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70. y = 2x2 −16x + 33
71. y = 12(x − 4)2 − 2
72. y = (x − 3)2 +1
Writetheequationofthelinegiventhefollowingconditions.73.Writeinslope-interceptformtheequationofalinewithaslopeof-2andaninterceptof3.
74.Writeinpoint-slopeformtheequationofalinethatpassesthrough(2,-3)witha
slopeof 12.
75.Writetheequationofalineinstandardformthatpassesthrough(1,2)and(-1,6).
76.Writeinpoint-slopeformtheequationofthelinepassingthrough(5,-3)andisparalleltotheliney=-2x+4.
77.Writeinslope-interceptformtheequationofthelinepassingthrough(2,0)andisperpendicularto2x+y=4.
78.Writetheequationofthelineperpendiculartoalinepassingthrough(-2,4)and(0,4),thatpassesthrough(3,0).
Findtheprobabilityofrandomlychoosingapointintheshadedregion.79.Thepentagonisregularwithsidelengthof5,andthecirclehasaradiusof2.
80. △ABC isarighttrianglewith AC = 12 ,AB = 13 ,CD = 4 ,DE = 2 andFig.CDEFisarectangle.
Beableto:
1. Combineliketerms2. Evaluateexpressions3. Solveequationsand
inequalities4. Graphoneandtwo
variableinequalities5. Simplifyradicals6. Graphlinesandquadratic
equations
7. Writeequationsoflinesinslope-intercept/point-slope/standardforms
8. Writeequationsoflinesparallelandperpendiculartootherlines
9. Solvesystemofequationsby
elimination/substitution/completingthesquare
10. Factorexpressions11. Applytherulesof
exponents12. Completethesquare13. Usethequadratic
equation14. Useabsolutevalues
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F
ED
C B
A
