Solving Multi-Step Equations with One Variable 

Dude i just found my teacher

@@jasonrodriguez289 rlly ur lucky bro

@@yeniseybrito31 well i have him for engineering but he does explain math problems well

Jason Rodriguez with the stalker status 👀

Awesome! You are welcome!

Thanks! Question for you if you see this.. I am thinking of taking my channel up a notch now that I am out of the classroom and doing instructional design at the college level. Would you utilize practice problems that could give students feedback online? Basically to check their understanding immediately and provide extra practice. Results would only go to them but they could show you as part of the recap. Or perhaps a interactive practice that goes along with the video lesson?

​@@mathlearningmadeeasyplease make more videos!

Cool! I am glad teachers have these resources right now and I am glad there are things like this to help us all get through it! :)

what was it?

Thanks Natalie for the kind comment and I am SO happy it helped!

Hi there! That is a -1 they just leave off the 1. so consider it like 7 + (-1)(5t -13). You multiple the -1 by the parenthesis and then add the 7 after! :)

Hi and I am glad it helps! It is Algebra 1 or integrated math 1 but a lot of the stuff you cover in those years also is covered in 7th/8th grade. :)

Probably about where he is now I am in 8th grade and we are learning this in my honors class.

Awesome! You got this Leslie! Show the test what’s up and drop a flying elbow on it! :) Just remember to ALWAYS get rid of the smaller x. Seriously I don’t get why teachers don’t all teach it this way. I have confidence in you! Please let me know how it goes! And if at the end you feel like you did great then celebrate how awesome YOU did!

You are welcome!

go to thattutorguy.com! he's amazing!!!

0.1q + -0.2(3q + 4) = -0.3(5q + 3) Reorder the terms: 0.1q + -0.2(4 + 3q) = -0.3(5q + 3) 0.1q + (4 * -0.2 + 3q * -0.2) = -0.3(5q + 3) 0.1q + (-0.8 + -0.6q) = -0.3(5q + 3) Reorder the terms: -0.8 + 0.1q + -0.6q = -0.3(5q + 3) Combine like terms: 0.1q + -0.6q = -0.5q -0.8 + -0.5q = -0.3(5q + 3) Reorder the terms: -0.8 + -0.5q = -0.3(3 + 5q) -0.8 + -0.5q = (3 * -0.3 + 5q * -0.3) -0.8 + -0.5q = (-0.9 + -1.5q) Solving -0.8 + -0.5q = -0.9 + -1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.5q' to each side of the equation. -0.8 + -0.5q + 1.5q = -0.9 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -0.8 + 1q = -0.9 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -0.8 + 1q = -0.9 + 0.0 -0.8 + 1q = -0.9 Add '0.8' to each side of the equation. -0.8 + 0.8 + 1q = -0.9 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 1q = -0.9 + 0.8 1q = -0.9 + 0.8 Combine like terms: -0.9 + 0.8 = -0.1 1q = -0.1 Divide each side by '1'. q = -0.1 Simplifying q = -0.1 I hope this helped u:)

@@m-styles982 wow your really smart

That's depend on multiplying algebraic expressions If u understand that

Hi Monica. I assumed you mean when to do each in order? Think of an equation solving as “undoing” the equation. We start with subtraction/addition if there is +\- signs. Remember you are doing the opposite of the signs on the equation. So to solve if + then you subtract and vice versus. Then you proceed to multiplication or division (again the opposite of what is already happening. 3x means 3 • x so dividing makes sense. X/5 means x divided by 5, so multiplication makes sense. This is how you solve a 2 step equation where you have a variable with a number in front and then another number added or subtracted, such as 3x - 6 = 12. If there is anything else going on, you have to deal with thus first. The goal is to simplify until you have a 2 step equation. This might be distributive property such as 3(2x - 5) = 33. The parenthesis and number outside is the clue to do the extra simplifying. It could also be a need to combine like interns before solving such as 2x + 5 + 6x = 13. Notice we have an extra x compared to the desired 2 step equation. The plus signs in between mean adding first is the trick. It could also be a combination of these. Do the parenthesis first and then combine. You also will sometimes see the variable on both sides of the =, which again doesn’t fit that 2 step equation such as 2x - 7 = 5x + 5. Notice there is an x in both sides. You would need to eliminate one of them to get to the place to solve. This is shown in another video. So basically you have to learn to read the situation. Look for anything you can do starting with distributive property and then combining and if done correctly you should be ready for a simple 2 step equation.

@@mathlearningmadeeasy thank you so much for taking the time to reply and helping me out. I get it now. You are a life saver💖

Monica Perez phew! I read my message and thought maybe I was over explaining! Haha I am guilty of that at times. I just loving explaining things to people who want to learn! Why I love being a teacher! You are most welcome! :)

@@mathlearningmadeeasy I wish there were more teachers like you. I struggled so much in school because of dyslexia and i was told I was just being lazy and wanted teachers to give me answers. I wish I could have graduated but i dropped out because i wasn't learning and got tired of teachers not helping me. I struggle a lot with math and wish I had someone help me. I am definitely gonna subscribe to your channel. Do you ever make videos that your subscribers would like to see? I am currently reviewing my math agenda and marking what i am struggling with. I hope to get this done quick.. Thank you again..

Monica Perez the time is the issue because I am doing a few different jobs right now teaching and designing curriculum for a college. That said I would be happy to try and should I already have a lesson for it but no video it would be much easier to at least give you something to watch! :)

X= -2

Hey Cristian! So when you add the 10 to both side I imagine that the problem you have is with what to do with this -25 + 10 That sounds about right? When adding and subtracting negative and positive numbers remember that a pair of one negative and one positive makes 0 together. So that is - + makes zero. So a problem like -9 + 5 can be represented by - - - - - - - - - +++++ If you pair up one negative and one positive repeatedly you will see that you get five 0s from pairs and what is left is four minus signs. This is then -4 and that is your answer! For this problem, you would get 25 - and 10 +. So you end up with 15 leftover negative signs and the answer is -15. Hope this helps! Not the easiest to type these answers but I did my best! :)

Thanks

X-10==-25 X=-15

Hi! Hard to know exactly what you did wrong, but I am assuming you ended up with one of these two in one of your steps. -2x = 14 or 2x = -14 In either case, notice that you have -12x and 10x so the larger is the negative and must have -2x be left. Also notice that you have -25 on the right side so when you add the left side which is smaller it must also stay negative, -14. So combining both facts you have -2x = -14 which gives the answer 7. I guess I can’t be certain I am right so feel free to add more detail, but my guess is that will find your error.

+Levin Tiwnsen We would start with the distributive property on the left side.... 2(n - 3) = 2(n) - 2(3) = 2n - 6 then replace on the equation. 2n - 6 = 4n + 1 From here we need all the n's on one side and all the numbers on the other side. Couple ways to do this but I find most people like to avoid multiplying and dividing by a negative. So the trick is always start by eliminating the lower variable. 2n and 4n so this means subtract 2n from both sides. 2n - 6 = 4n + 1 -2n -2n -6 = 2n + 1 Now we need to get the n by itself. First we subtract 1 - 1 - 1 -7 = 2n and then we divide by 2 ÷2 ÷2 -7/2 = n Just so you know, I have videos for solving with variables on both sides and also ones for the distributive property. Check them out! Good luck!

2(n + -3) = 4n + 1 Reorder the terms: 2(-3 + n) = 4n + 1 (-3 * 2 + n * 2) = 4n + 1 (-6 + 2n) = 4n + 1 Reorder the terms: -6 + 2n = 1 + 4n Solving -6 + 2n = 1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -6 + 2n + -4n = 1 + 4n + -4n Combine like terms: 2n + -4n = -2n -6 + -2n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -6 + -2n = 1 + 0 -6 + -2n = 1 Add '6' to each side of the equation. -6 + 6 + -2n = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = 1 + 6 -2n = 1 + 6 Combine like terms: 1 + 6 = 7 -2n = 7 Divide each side by '-2'. n = -3.5 Simplifying n = -3.5

@@mathlearningmadeeasy n=-3.5

how?

You are welcome! I am glad it helped 😃