7° Grade Mathematics' Portfolio Piece
How Many Cupcakes? Task
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Betty and Archie, two seniors, sold cupcakes as a fundraiser to
benefit the school's yearbook. The number of cupcakes that
Archie sold can be given as 20 more than a number, x. Betty
sold five fewer cupcakes than twice a number, x. -
A) Write an algebraic expretssion that can be used to represent the
amount of cupcakes that each senior sold.
Archie:
Betty:-

Archie:  x+20

Betty: 2x-5

Step-by-step explanation:

We are given that The number of cupcakes that  Archie sold can be given as 20 more than a number, x.

So, 20 more than  x = x+20

So, Archie sold cupcakes = x+20

We are also given that Betty  sold five fewer cupcakes than twice a number, x.

So,twice a number, x = 2x

Five fewer cupcakes than twice a number, x. =2x-5

So, Betty sold cupcakes = 2x-5

Hence an algebraic expression that can be used to represent the amount of cupcakes that each senior sold

Archie:  x+20

Betty: 2x-5

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

the answer is a i belaeve atleast thats what my calculator just gfave me

step-by-step explanation: