Question

1) Yessenia simplified an expression as shown below: Given: x + 6 + 3(x + 4) Step 1: x + 9(x + 4) Step 2: x + 9x + 36 Step 3: 10x + 36 In which step did Yessenia make a mistake? What should she have done instead? Your answer cannot exceed 75 words.

Answer 1

well she made a mistake in step 1. it had to go like this;

x + 6 + 3(x + 4)
x + 6 + 3x + 12

and so on to find the right answer. hope this helps, God bless!

Answer 2

The mistake is done in step 1.

Correct answer is
`x+6+3(x + 4)=4x+18`

Explanation:

Given : Yessenia simplified an expression
`x + 6 + 3(x + 4)`

Step 1 -
`x + 9(x + 4)`

Step 2 -
`x + 9x + 36`

Step 3 -
`10x + 36`

To find : In which step did Yessenia make a mistake? What should she have done instead?

Solution :

The mistake is done in step 1.

As she cannot add 6 and 3 because 3 is in multiple with (x+4).

The correct steps are,

Given :
`x + 6 + 3(x + 4)`

Step 1 - Multiply 3 under bracket,

`x + 6 + 3x +12`

Step 2 - Add like terms,

`4x+18`

Therefore, The required result is
`x+6+3(x + 4)=4x+18`