Question

Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:

3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Use the drops-downs to justify how Heidi arrived at each step.

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Answer 1

is that the order you put it in or was that how it was given to you?

Answer 2

how it was given to me

Answer 3

interesting lol

Answer 4

yeh

Answer 5

So you are pretty much trying to explain what he did at each step

Answer 6

Do you know the order of operations?

Answer 7

Do you know what s/he did on the first step?

Answer 8

distributed

Answer 9

okay, keep going. What about 2nd step?

Answer 10

umm

Answer 11

What do we do after distributing to simplify the eqn?

Answer 12

combine like terms

Answer 13

yes, what next?

Answer 14

subtract?

Answer 15

after combining like terms, 3x was subtracted from both sides, correct, next?

Answer 16

addition?

Answer 17

yep, 18 was added on both sides, finally?

Answer 18

divide

Answer 19

by 2 to solve for x, you are doing brilliant. You seem to know what you are doing. Good job. Do you understand the purpose of each step thou?

Answer 20

yeah kinda

Answer 21

ok, keep it up