Question

I am having problems with 2 step equations with division.

Answer 1

I'll help, I just did this in school haha

Answer 2

ok

Answer 3

Let's do an example.

Answer 4

3x+4=16

Answer 5

What should we do first?

Answer 6

um subtract 4

Answer 7

Yes. So what equation do you get?

Answer 8

if you need help after this you should go to http://www.algebra-class.com/algebra-equations.html

Answer 9

3x = 20

Answer 10

No, because you're SUBTRACTING 4. Check your work.

Answer 11

oh 3x = 12

Answer 12

Yes! Good. Now, what do you do?

Answer 13

um multiply

Answer 14

If we multiply, are we getting rid of the 3 next to x?

Answer 15

oh divide

Answer 16

Bingo.

Answer 17

What are we dividing by?

Answer 18

3 divided by 12

Answer 19

Are we dividing by 12? Will that get rid of the 3?

Answer 20

Think carefully.

Answer 21

12 divided by 3

Answer 22

Yes! That's it. What is 12 divided by 3?

Answer 23

4

Answer 24

And that's your answer.

Answer 25

so x = 4

Answer 26

Do you want to do another?

Answer 27

ok

Answer 28

\[1/2 x + 3 = 7\]

Answer 29

What do we do first?

Answer 30

this is a little harder

Answer 31

I know, but it's similar.

Answer 32

um take care of the addition

Answer 33

Exactly. How do we do that?

Answer 34

subtract 3

Answer 35

Yup. What equation do we get?

Answer 36

1/2x = 4

Answer 37

Perfect. Now, what is going on around the x?

Answer 38

division

Answer 39

Good! What are we dividing by?

Answer 40

4

Answer 41

Are we dividing x by 4? Look at the equation.

Answer 42

dividing by 2

Answer 43

Yes. So, what should we do to get rid of the divide by 2?

Answer 44

I don't know.

Answer 45

Okay. What do we do to get rid of addition?

Answer 46

the opposite operation

Answer 47

Yup. So, what's opposite division?

Answer 48

multiplication

Answer 49

Good! By what?

Answer 50

In this equation, I mean.

Answer 51

im getting lost

Answer 52

Now, we're moving back to the problem. If we have to use multiplication to get rid of the division by two, I'm asking you: What should we multiply by?

Answer 53

1

Answer 54

Is the x being divided by 1?

Answer 55

In the first step, when 3 was added, we subtracted 3. Now, when 2 is being divided, what

Answer 56

should we do?

Answer 57

no it being divided by 1/2

Answer 58

Being divided by 2, multiplied by 1/2. There's a difference.

Answer 59

ok

Answer 60

so is x=8

Answer 61

So what are we multiplying by to get rid of "the "divide by 2"?

Answer 62

Yes! That's right.

Answer 63

Do you kinda get it a bit more, now?

Answer 64

it makes way more sense

Answer 65

Good. I'm glad.

Answer 66

Thank you for your time.