Question

Simplify the following expression using the distributive property:
2x – 3y + 4(x – y) + 5x

What property do I use after the distributive?

Answer 1

can you do the distributive part first?

Answer 2

(it will make the flow easier and I can check your work)

Answer 3

2x – 3y + 4xy + 5x

Answer 4

@FibonacciChick666

Answer 5

2x – 3y + 4(x – y) + 5x

What you you get after you apply the distributive property to 4(x – y)?

Answer 6

but after that what property do I use? commumative, associative?

Answer 7

You did not distribute correctly

Answer 8

First thing, which is what Direct pointed out. So let's revisit that first

Answer 9

Do you understand the link?

Answer 10

oh so it would be 2x – 3y + 4x- 4y + 5x? @fibonaccichick666 @directrix

Answer 11

yea good

Answer 12

and then after what property would I use
and could u show me

Answer 13

so now, what is our goal?

Answer 14

do I use associative property next? or commumative

Answer 15

well, first, what is our goal?

Answer 16

combine like terms? @FibonacciChick666

Answer 17

yea, so does commutative or associative allow you to move terms around?

Answer 18

commumative

Answer 19

(get all the like terms in one place is another way to say our goal)

Answer 20

Good! so, go ahead, make it so

Answer 21

so 2x - 4x + 5x+ 3y + 4y?

Answer 22

why is it -4x?

Answer 23

and +3y?

Answer 24

i dont know how to put it @FibonacciChick666

Answer 25

what do you mean? you just moved the terms around. You have to move the whole term, not just part of it

Answer 26

i dont understand.. how do you change it around? @FibonacciChick666

Answer 27

you literally just pick up term and move it. Like moving blocks on the floor when you were a kid. Let's say you had blue, red, yellow block. in that order, but you wanted red before blue, so you pick up the red block and move it in front of the blue or you pick up the blue bock and put it behind the red. Make sense? Now your blocks are terms (+4x or -4y etc) Just move them like you would blocks

Answer 28

2x – 4x + 5x- 4y + 3y?

Answer 29

@FibonacciChick666

Answer 30

did you have a -4x before you moved stuff around? Did you have a +3y?

Answer 31

+3y

Answer 32

@FibonacciChick666

Answer 33

What's that mean?

Answer 34

full sentences please. Or at least semi-full fragments

Answer 35

I had +3y @FibonacciChick666

Answer 36

I don't see a +3y, can you point it out?

\[''2x – 3y + 4x- 4y + 5x?"\]

Answer 37

right after the 2x there's a 3y

Answer 38

I don't see a plus sign in front of it

Answer 39

oh its negative 3?

Answer 40

yea

Answer 41

commutative only works for addition so technically its +(-3y)

Answer 42

but so long as you bring the negative along for the ride, that's too many symbols to write all the time

Answer 43

so what is i t 2x + 4x- 5x 4y -3y? @FibonacciChick666

Answer 44

or could just explain it and right it down

Answer 45

this is your equation :
\[2x – 3y + 4(x – y) + 5x=2x – 3y + 4x –4 y + 5x\]

Now starting from there. Move the +5x to a better spot

Answer 46

2x + 5x?

Answer 47

you have to write the whole thing, you can't just leave off the rest

Answer 48

2x + 5x + 4x - 4y - 3y?

Answer 49

multiple steps, but yes

Answer 50

so the equation is right?

Answer 51

not simplified yet, but correct to this point

Answer 52

so added up it becomes 11x - 1y? @FibonacciChick666

Answer 53

what's a negative plus a negative?

Answer 54

a positive

Answer 55

11x1y?

Answer 56

no... thats times not addition

Answer 57

what is -6+-7

Answer 58

-14?

Answer 59

close, that would be -7+-7

Answer 60

-13 * sorry lol

Answer 61

I thought it might be a type-0

Answer 62

so what is -4y-3y

Answer 63

but isnt this subtracting not adding?

Answer 64

aka -4y+-3y

Answer 65

There is no such thing as subtraction or division actually

Answer 66

it wouldbe -7y

Answer 67

there we go

Answer 68

so final answer is?

Answer 69

11x - 7y?

Answer 70

yep

Answer 71

:)