Solve two-step equations

1 Hereisapart-wholemodel.

a) Writeanequationforthepart-wholemodel.

b) Solvetheequationtoworkoutthevalueof

=

2 Ifeachmultilinkcuberepresentsx,formandsolveanequationtofindthevaluex.

x=

3 Thereisthesamenumberofcountersundereachcup.

Thereare16countersintotal.

a) Useytorepresentthenumberofcountersundereachcup.

Writeanequationintermsofy.

b) Solvetheequationtofindthevalueofy.

y=

c) Howmanycountersareundereachcup?

4 Writeanalgebraicequationtorepresenteachbarmodel.

Findthevaluesofaandb.

a) 21

a a 9

b)46

3b 10

a= b=

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40

20

5 Solvetheequations.

a) 5x+1=31 d) 9=2y+8

x= y=

b) 3x–3=9 e) 10g–2=46

x= g=

c) 4p–11=3 f) 4+3y=28

p= y=

6 Danithinksofanumber.

Shedoublesitandadds3

Shegetstheanswer15

a) WriteanequationtorepresentDani’sproblem.

b) Solvetheequationtofindhernumber.

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7 Alexisyyearsold.

HerfriendBrettis3yearsolder.

Thetotaloftheiragesis25

HowoldareAlexandBrett?

Alexis Brettis

8

a) Workoutthecostofonebananaandoneorange.

Onebananacosts Oneorangecosts

b) Comparemethodswithapartner.

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