Question

Solve for x: 1/4 (2x − 14) = 4

Answer 1

hello! welcome to open study =)

Answer 2

ok so to find "x" what is our objective?

Answer 3

@ spssss

Answer 4

correct =) so, our objective is to isolate x...

Answer 5

ok, I see you closed the question. When you close a question that means that it is "finished". But, do you still need help?

Answer 6

yes my lesson is to find the value of x with fraction in the problem ill give you the options @ScienceQs

Answer 7

yes i do

Answer 8

i do need help i havenever used this before

Answer 9

@ScienceQs

Answer 10

sure =). Our first step is to get x free of the parentheses. How should we do that?

Answer 11

im not sure in the lessson videos and practice there wasnt a question like this its diffrent and my guess is to add 14 to the -14 in the parente.

Answer 12

@ScienceQs

Answer 13

ok. if you could give me a copy of the lesson on .doc or pdf that would be great. Our first step is to multiply 1/4 by everything that is in the parenthesis

Answer 14

its on florida virtual school idk if i can @ScienceQs

Answer 15

and i wasnt sure if i was suppoesed to multiply what was in parentese or not thats why i couldnt solve it. @ScienceQs

Answer 16

ah, ok. parenthesis in math is just like the * in math. It means to multiply. For example, 2(3) = 5, and 2*3=5.

Answer 17

how is that i thought 2*3=6

Answer 18

@ScienceQs

Answer 19

oops sorry i meant 6...i was typing fast. don't worry, I'll be more careful now! I was talking with somebody at the same time

Answer 20

ok let's see:
1/4(2x-14) = 4
1/2x - 3.5 = 4
What to do next?

Answer 21

@spssss I know, but I'm asking, what do you think should we do next?

Answer 22

do we muliply 1/2?@ScienceQs

Answer 23

@ScienceQs

Answer 24

nope. 1/2x is "one-half-of-x". good try, though. What we need to do is get other numbers out of the way. To do that, we need to get rid of that -3.5, by adding it to both sides. Like this:
1/2x -3.5 = 4
+3.5 to both sides
1/2x = 7.5

Answer 25

Now, we want a whole x by itself. What do you think we should do?

Answer 26

i types that and thought it was worng :c

Answer 27

well now we divide 1/2 dont we. @ScienceQs

Answer 28

i mean multiply

Answer 29

no i mean combine like term to make it x=9 @ScienceQs

Answer 30

Nice idea, but we can't combine like terms, because 7.5 and x are not like terms. If it was 4x and x, then you would be right! But it's not that easy for us. What we need to do is multiply both sides by 2, like so:
1/2x = 7.5
*2 to both sides
1x = 15
1x is rewritten as x
x = 15

Answer 31

IM SO DUMB thank you so much now i have a reference ill copy some of this down in my notes.!!!!!!!

Answer 32

Can you help me with another quesion?

Answer 33

no, you are not dumb! You are very bright. This is new to you, so of course you wouldn't get it first time. I enjoy math, but it does get very tricky sometimes. I get confused very often when I'm learning something new: like right now, I'm learning matrices, and I have no idea how to solve them! That's why I'm so thankful for the nice people on Open Study, and for my teacher/tutor.

Answer 34

Allright, but before we move on to another question, let's check the one we just did to make sure that it is correct and no mistakes =)

Answer 35

Solve for x: 2/3 x + 1 = 27 and sure

Answer 36

@ScienceQs i have 2 questons and then i will be done with this lesson i have lots of trouble.

Answer 37

k:
1/4 (2x − 14) = 4
we know (or think we know) that x =15. solve it and I'll check your work =) then let's move on to the next Q

Answer 38

i have 1 left i will give you the equation later.

Answer 39

here 1/2x-3.5=4

1/2x=7.5

x=15 the most diffficuly part is finding out what to do when. @ScienceQs

Answer 40

it cut off half my work :c

Answer 41

sure. have you gone over PEMDAS yet?

Answer 42

yes but it get confusing with fraction @ScienceQs

Answer 43

the eqaution ive tryed 100 times is 5/2x+15/2=15

what i keep getting is 10x=30 = 30 and i know it incorrect @ScienceQs

Answer 44

ok. let me just give you a little tip: I use a different thing than PEMDAS. I don't know if it would help you better or not, but it did for me so maybe it will for you, too. It's called G-PAW and it goes like this:
G- grouping symbols. see those grouping symbols like shields, and you have to destroy them to get at the numbers inside! It doesn't matter what kind of shields you're up against, they need to go down!
P- powers. solve them if they're there.
A-and...multiply, divide, add, subtract (in order, as necessary)
W- work left to right

Answer 45

allright, now for your equation...is there a way i can see it on paper? the dividing symbols confuse me, like i don't know how much we're dividing here. maybe you could write it out like it is, scan it, and put on your pc as jpg file then attatch the file?

Answer 46

its not divideing there fraction plus printer / scanner is broken

Answer 47

Ok, for 5/2x+15/2=15
let's multiply 1/5 to both sides. you know what this does, right?

Answer 48

i reset exam and dont hAVE THIS equation anymore thanks for the help

Answer 49

would you still like to work through the problem together? It would be for good practice.

Answer 50

you are welcome!