Solve simple one-step equations

1 Writeanequationforeachpart-wholemodel.

Workoutthevalueofthemultilinkcubeineachequation.

a)

=

b)

=

2 Therearesomecountersunderthecup.

Thereare10countersintotal.

a) Ifcisthenumberofcountersunderthecup,explainwhy

c+6=10

b) Workoutthevalueofc. c=

c) Howmanycountersareunderthecup?

3 Writealgebraicequationstorepresentthebarmodels.

Findthevalueofaineachone.

a) 8

a a

c)a

3 3 3

a= a=

b) 15

a 10

d)a

7 6

a= a=

4 Nijahissolvingtheequationx–8=20

WhatmistakehasNijahmade?

©WhiteRoseMaths2019

6

18

x – 8 = 20

x = 20 – 8

x = 12

5 Solvetheequations.

a) x+7=20 d) g–3=15

x= g=

b) 10y=80 e) 32=t–5

y= t=

c) 4m=22 f) u6

=3

m= u=

6 Filipthinksofanumber.

Hesubtracts5fromhisnumber.

Heendsupwith10

WriteanalgebraicequationtorepresentFilip’sproblem.

Solvetheequationtoworkouthisnumber.

©WhiteRoseMaths2019

7 Dexterbuildsatower.

Eachblockis2ahigh.

Heuses7blocks.

Thetotalheightofhistoweris42cm.

WriteanequationtorepresenttheheightofDexter’stowerand

findthevalueofa.

a= cm

8 Workoutthevalueofeachshape.

Writetheequationsthatyousolvedtofindthevalueofeachshape.

=

32

= = =

Workoutthemissingtotalofeachrowandcolumn.

Compareanswerswithapartner.

2a

=40

=20