NAME:___________________________ Math_______,Period____________

Mr.Rogove Date:__________

G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots1

Learning Objective:Wewillfindpositivesolutionsforequationsinvolvingsquarerootsandcuberoots.(G8M7L5)Activating Prior Knowledge: Wecansolvelinearequations(solveforx)

−2 5! − 3 = ! + 28

27! − 15 = 6! − 78

Concept Development: Solvingnon-linearequationshassomeofthesameelements…ourgoalremainsthesameinsolvingequations:Wecansimplifytheexpressionsuntilwehavetheformof!! = ! !" !! = !andthentakethesquarerootorcuberootofbothsidesoftheequationtosolveforx.Example:

!! + 9! = 12 (18! + 54)

NAME:___________________________ Math_______,Period____________

Mr.Rogove Date:__________

G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots2

Guided Practice: StepstoSolvingEquationsInvolvingSquareRootsandCubeRoots1.Usethepropertiesofequalitytotransformtheequationtotheformof!! =! !" !! = !.2.Solveforxbytakingthesquareroot(orcuberoot)ofbothsidesoftheequation.3.Checkyourworkbysubstitutingthepositivesolutionforyourunknownvalueintotheexercise.

!! + 4! = 4 ! + 16

!! − 14 = 5! + 67− 5!

! ! + 4 − 3 = 2 2! + 39

! ! − 1 = 121− !

NAME:___________________________ Math_______,Period____________

Mr.Rogove Date:__________

G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots3

Asquareyardhasasidelength2! − 1andanareaof121squareyards.Whatisthevalueofx?

Asquarehasasidelengthof3xandanareaof324squareinches.Whatisthevalueofx?

4! ! = 1,728

−3!! + 14 = −67

NAME:___________________________ Math_______,Period____________

Mr.Rogove Date:__________

G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots4

! 2!! − 5 + 3! = −2! + 1024

216+ ! = ! !! − 5 + 6!

6 2! ! − 2! = 12 (144− 4!)

2 ! ! − 6! + 2 = 3 3− 2! + 29

NAME:___________________________ Math_______,Period____________

Mr.Rogove Date:__________

G8M7L5:SolvingEquationsInvolvingSquareRootsandCubeRoots5

Independent Practice: NoindPrac.Cangiveouthomework Closure: Solveforx:

12 (2!

! + 10) = 30Notes: Alignstolesson5grade8module7.Homeworkshouldbeproblemsetfromlesson5.