Question

Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)

Part A: What is the simplified form of the expression above?

Part B: If x = 6, how many cupcakes did Mrs. Jones bake last week?

Answer 1

Answers:

A: 11(2x-1)

B: 121 cupcakes

Explanation:

Part A:

We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

`5(2x -4) + 3(3 + 4x)`

Applying distributive property:

`10x-20+9+12x`

Grouping similar terms:

`22x-11`

Applying common factor
`11`:

`11(2x-1)` This is the simplified expression

Part B:

Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if
`x=6`:

`11(2(6)-1)`

`11(12-1)=11(11)=121` Hence, Mrs. Jones baked 121 cupcakes last week