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Math 7 2nd Trimester Review€¦ · Math 7 2nd Trimester Review Solve each equation. 55!−6=45...
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Name:_________________________________________ Date:__________ Math 7 2 nd Trimester Review Solve each equation. 5 5 − 6 = 45 −4 + 6 − 7 = 36 10 − 3 = 4 − 15 −4 5 + 7 = 32 7 − 4 + 8 = −8 4 + 2 = 8 − 14 In any triangle, the sum of the angles is 180°. The three angles are represented by the expressions 2, 3 + 10, and 5 + 40. What are the three angles?
Transcript of Math 7 2nd Trimester Review€¦ · Math 7 2nd Trimester Review Solve each equation. 55!−6=45...
Name:_________________________________________Date:__________
Math72ndTrimesterReviewSolveeachequation.
5 5𝑡 − 6 = 45−4𝑚 + 6 𝑚 − 7 = 3610𝑥 − 3 = 4𝑥 − 15
−4 5𝑡 + 7 = 327𝑑 − 4 𝑑 + 8 = −84𝑥 + 2 = 8𝑥 − 14
Inanytriangle,thesumoftheanglesis180°.Thethreeanglesare
representedbytheexpressions2𝑥,3𝑥 + 10,and5𝑥 + 40.Whatarethe
threeangles?
Threeconsecutiveintegersaddto91.Whatarethethreeintegers?
Solveeachinequalityandgraphthesolutiononanumberline.
40 ≤ −3𝑥 + 107𝑥 − 2 ≥ −16 !!!+ 5 < −10
Danielhad$25tospendatthefair.Iftheadmissiontothefairis$4andtheridescost
$1.50each,whatisthegreatestnumberofridesDanielcangoon?
Theseventhgradeclassisputtingonavarietyshowtoraisemoney.Itcost$700torent
thebanquethallthattheyaregoingtouse.Iftheycharge$15foreachticket,howmany
ticketsdotheyneedtosellinordertoraiseatleast$1000?
Writeeachratioin3differentways.
Room Number Chicken Pasta
201 10 12
202 8 17
203 16 10
Inroom201,whatistheratioofstudentswhopreferchickentostudents
whopreferpasta?_______________________________________________
Inroom203,whatistheratiooftotalstudentsintheclassroomand
studentswhopreferchicken?_____________________________________
Determinetheunitrateforeachsituation.
Travel250milesin5hoursComplete!!ofapuzzlein!
!ofanhour
Determinethebetterbuyforeachsituation.
Apples:3lbsfor$1.89Bagels:4for$0.89
5lbsfor$2.496for$1.39
Determinewhetherthefollowingratiosareproportional.
!"!", !"!"!"
!", !"!" !
!", !"!"!"
!, !"!
Solveeachproportion:!!"= !"
!"!"
!= !"
!"!
!= !
!"
Complete the table, graph, identify the constant of proportionality, and write the equation.
Time (min) 4 12 30 100 Water Used (gal) 7 84
Thescaleofamapis2cm:21km.Findtheactualdistanceforthe
followingmapdistances.
9cm_________________14cm_______________4.5cm_____________
AmodeloftheLincolnMemorialismadesothat1cmrepresents15feet.Whatistheheightoftheactualmemorialiftheheightofthemodelis11 !
!
cm?
x y 2 5 8 46 201
Constant of Proportionality _______ Equation _______________
Constant of Proportionality ______________ Equation _______________
Taradrewanoutlineofabuildingforadiagramshewasmakingandthendrewasecondonemimickingheroriginaldrawing.Arethetwoshapesinproportion?Ifso,whatisthescalefactor?
Determinewhethereachtableorgraphrepresentsaproportional
relationship.Ifitisaproportion,whatistheequation?
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Height Length Original Drawing
Second Drawing
x 52
ComplementaryAnglesSolveforthemissingangle. Findthecomplementofthefollowingangles:730 650330 SupplementaryAnglesSolveforthemeasureofbothangles.
x 3x
2X 820 3x5x-60
Findthesupplementsofangleswiththegivenmeasures:1650 37.50 790VerticalAnglesUsethepicturebelowforthefollowingquestions.Thepictureisnotdrawntoscale!m<2=560Find:m<1_____m<3_____m<4_____ m<1=3x+30,m<2=2x+30,solveforx. m<1=3x,m<4=x+104,solveforx.AnglesonaPointFindthemeasureofthemissingangle.
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Solveeachpercentquestion.48is60%ofwhatnumber?Whatis175%of85?Whatpercentof24is72?Whatis85%of120?Whatpercentof90is50?56is75%ofwhatnumber?Calculatethepercentchangeforeach.Lastyear,Seanearned$24,000.Afterabrieflay-offthisyear,hisincomeisnow$18,500.Briannaearns$18,000peryear.Afteraraise,shenowearns$26,000.
