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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?

User Cromandini
by
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1 Answer

4 votes

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

User SWalters
by
7.9k points
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