How to Solve Algebra Word Problems Full Course

www.greenemath.com/
In this lesson, we will cover how to solve algebra word problems. We will cover translating phrases to algebraic expressions, solving consecutive integer problems, solving age word problems, solving mixture word problems, solving motion word problems, solving bill and coin word problems, solving simple interest word problems, solving percent word problems, solving work rate word problems, solving rational expression word problems, solving word problems with linear systems, solving word problems with combinations and permutations, and solving probability word problems.
0:00 Translating Phrases to Algebraic Expressions/Equations
28:31 How to Solve Consecutive Integer Word Problems
48:45 How to Solve Age Word Problems
1:07:15 How to Solve Mixture Word Problems
1:34:59 How to Solve Motion Word Problems
1:51:43 How to Solve Bill and Coin Word Problems
2:17:30 How to Solve Simple Interest Word Problems
2:39:56 How to Solve Percent Word Problems
2:54:15 How to Solve Word Problems with Rational Expressions
3:05:08 How to Solve Work Rate Word Problems
3:29:24 How to Solve Word Problems with Linear Systems
4:04:04 How to Solve Combination and Permutation Word Problems
4:11:54 How to Solve Probability Word Problems
4:28:15 How to Solve Word Problems with Quadratic Equations

Пікірлер: 142

  • @Greenemath
    @Greenemath2 жыл бұрын

    Check out our free website: GreeneMath.com

  • @MYfriendsknow

    @MYfriendsknow

    11 ай бұрын

    Excellent ! Thank you & PEACE

  • @brayanrestrepo2415
    @brayanrestrepo241510 ай бұрын

    I admire the peaople that teach like this. Solving real life problems is the best way to really understand

  • @Greenemath

    @Greenemath

    10 ай бұрын

    Great, glad you found the video helpful!

  • @fireemblem2770
    @fireemblem27702 жыл бұрын

    I need to become better at this stuff if I am going to study applied maths. I truly appreciate you putting together this long video. Your content is amazing and you are going to save my degree!!

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    Happy to help! Good luck with your quest!

  • @trongtue8384

    @trongtue8384

    2 жыл бұрын

    Can I asked that are you still studying in college ?

  • @fireemblem2770

    @fireemblem2770

    2 жыл бұрын

    @@trongtue8384 Yep!!! :)

  • @trongtue8384

    @trongtue8384

    2 жыл бұрын

    @@fireemblem2770 Then can I asked what kind of problem that make you struggle in real word problem - You don't know how to translate it into equation to solve - Or you don't know when you need to add, subtract or divide....?

  • @bloxycola644

    @bloxycola644

    Жыл бұрын

    im doing this at age 9💀

  • @georgesadler7830
    @georgesadler7830 Жыл бұрын

    Professor Green Math thank you for a lengthy and incredible video/lecture on How to Solve Algebra Word Problems. In the beginning of this video, I found a majority of the Word Problems easy to solve, however in the middle of the video, some of the Word Problems are problematic. Toward the end of this video, I found the problems were simple to solve and understand from start to finish. This is an error free video/lecture on KZread. I will rewatch this video.

  • @Greenemath

    @Greenemath

    Жыл бұрын

    GreeneMath is the name of the website and one word. I'm also not a professor. Thanks for leaving a nice comment.

  • @IVIastodon

    @IVIastodon

    10 ай бұрын

    ​@@Greenemathprofessor, I need to find a way to make my brain think this way

  • @heenabanu6856
    @heenabanu68562 жыл бұрын

    I love it whole videos are covered from base to advance

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    I'm glad you liked it!

  • @user-nm2si9up8e
    @user-nm2si9up8e2 жыл бұрын

    1:46:02 Thanks for your help and the amount of time making this. I'd like to ask since in this case, we add, what will the word problem say if we need to subtract?

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    What do you mean? Your time marker leads to solving for x?

  • @user-nm2si9up8e

    @user-nm2si9up8e

    2 жыл бұрын

    @@Greenemath Sorry about that, don't worry about the time stamp. I'm just wondering, what will the word problem need to say if we need to subtract since in this case, we added for this specific question 1:44:00

  • @stickmanbattle997
    @stickmanbattle9973 жыл бұрын

    I love your video make a course full concept of functions thankyou man !

  • @Greenemath

    @Greenemath

    3 жыл бұрын

    That's actually a good idea, I'll put one together over the summer. 😎

  • @kimpma7380
    @kimpma73802 жыл бұрын

    I just want to say Thank You. You are really a legend.

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    You are very welcome!

  • @2vtesfaye892
    @2vtesfaye8925 ай бұрын

    Haven’t even finished watching but I know I FINALLY found what I’ve been looking for

  • @Greenemath

    @Greenemath

    5 ай бұрын

    Great, glad to hear that!

  • @rogers5765
    @rogers57657 ай бұрын

    What a legend thanks man hugely benefitted by this class.

  • @Greenemath

    @Greenemath

    7 ай бұрын

    I'm really glad to hear that!

  • @katerinedomen4118
    @katerinedomen41183 жыл бұрын

    Such a big help, thank you❤

  • @Greenemath

    @Greenemath

    3 жыл бұрын

    You're so welcome!

  • @Shashank_Shahi1989
    @Shashank_Shahi19893 жыл бұрын

    This video is great for understanding computer programming problems. Thanks 👍

  • @Greenemath

    @Greenemath

    3 жыл бұрын

    I'm glad you find the video helpful, but I can tell you that data structure problems are much harder than the problems presented here.

  • @Shashank_Shahi1989

    @Shashank_Shahi1989

    3 жыл бұрын

    @@Greenemath yeah you are right. Ds need lots of practice. I am trying to convert my imagination into mathematics expression & equations for computer programming/AI ML thing. Thanks 👍

  • @amberbutler4486
    @amberbutler4486 Жыл бұрын

    I just want to say your an amazing person for doing what your doing I’ve watched your video this one actually for my ASVAB test and I’ve scored pretty good due to your video and I want to just say that I you so muchhh I am now a soldier because of your video ❤

  • @Greenemath

    @Greenemath

    Жыл бұрын

    Glad to hear that, good luck and thanks for your future service!

  • @amberbutler4486

    @amberbutler4486

    Жыл бұрын

    @@Greenemath thank you so much and your very welcome

  • @fhdbsgs3964
    @fhdbsgs39642 жыл бұрын

    Can you do more of these man? Thank you, very much

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    I try to post videos each week when I am not busy.

  • @menelausblue
    @menelausblue Жыл бұрын

    Content is super helpful!! Thank youUUU!! :>

  • @Greenemath

    @Greenemath

    Жыл бұрын

    Glad you think so!

  • @adeyanjucatherine7913
    @adeyanjucatherine79133 ай бұрын

    very well explained. thank you

  • @Greenemath

    @Greenemath

    3 ай бұрын

    You are very welcome!

  • @tunzsyt7774
    @tunzsyt77742 жыл бұрын

    exactly what I needed right now 😃

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    Awesome, glad to hear that!

  • @Ange-tj1wq
    @Ange-tj1wq5 ай бұрын

    i just found out about the video today, Iam really struggling i have to pass the math part in the ASVAB and i keep getting a 9 i hope this video works, you make it seem so simple, thanks for making a video like this i know this will help if i pay attention and try to solve it before you do and watch you go thru it after

  • @Greenemath

    @Greenemath

    5 ай бұрын

    The best way to pass the ASVAB is to get a workbook or do their practice tests.

  • @Ange-tj1wq

    @Ange-tj1wq

    5 ай бұрын

    @@Greenemath i have like 6, its the same thing in the math section, its more easier on video then in a book for me to understand math

  • @Greenemath

    @Greenemath

    5 ай бұрын

    @Ange-tj1wq I'm sure there are playlists on KZread that focus on the ASVAB specifically. This tutorial is just about word problems only. I don't remember the test because I took it 20 years ago in high school but I think it was Algebra and Geometry based.

  • @Ange-tj1wq

    @Ange-tj1wq

    5 ай бұрын

    @@Greenemath yes it is! I wanted to start from the basics of word problems because the word problems on the ASVAB is to hard so i am looking at the basic so i can get the concept of the hard ones, the type of word problems on the ASVAB is like Age, distance and money i mean that's what i saw so far at least and i saw this video gave it, thank you for letting me know!

  • @sz9398
    @sz93983 жыл бұрын

    this is a life saver.

  • @Greenemath

    @Greenemath

    3 жыл бұрын

    Glad it was helpful!

  • @jellysangini9504
    @jellysangini95042 жыл бұрын

    Thank-you so much for making this

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    My pleasure! Thanks for leaving a nice comment 😎

  • @IVIastodon
    @IVIastodon10 ай бұрын

    I thought this video would be a waste because it's so long. It ended up being THE BEST VIDEO EVER

  • @Greenemath

    @Greenemath

    10 ай бұрын

    Thanks for the nice comment and good luck!

  • @IVIastodon

    @IVIastodon

    10 ай бұрын

    @@Greenemath I don't know if I'll need luck as much as I'll need time to practice!

  • @rebeccamclean1541
    @rebeccamclean1541 Жыл бұрын

    Thanks!

  • @Greenemath

    @Greenemath

    Жыл бұрын

    You are welcome, thanks for the donation! 😎

  • @nijahboyd7640
    @nijahboyd7640 Жыл бұрын

    Thank you so much for this, im trying to study for the navy ASVAB, especially the arithmetic reasoning do you think these problems would help?

  • @Greenemath

    @Greenemath

    Жыл бұрын

    I think it's probably better to get an ASVAB workbook and then search for videos when you get stuck. You may benefit from just taking a pre-algebra and algebra 1 course, but going through all of the test questions in the ASVAB workbook is going to be the best way to prepare.

  • @jirofuller2287
    @jirofuller22878 ай бұрын

    thank you so much from ph🇵🇭

  • @Greenemath

    @Greenemath

    8 ай бұрын

    You're welcome

  • @ItzmeT220
    @ItzmeT2209 ай бұрын

    Thank you so much

  • @Greenemath

    @Greenemath

    9 ай бұрын

    You're most welcome

  • @AndWeHaveRisen
    @AndWeHaveRisen4 ай бұрын

    Your videos are great, they really are, but for someone like me unfortunately (I have ADHD, among other things) I find it very hard to stay focused and even absorb the information when so much of it is repeated and repeated and repeated. 😢 For example; "let x= the unknown number. Once again, for completeness, let x = the unknown number. X is the unknown number.) Every two seconds and I am only 15 minutes into the video. I did understand it the first time, so much so that I am worried that's all that will be drilled into my headby the end of this though 😅❤❤ I know it's a me thing though it's just very hard to get through. However, since I love everything else so much, I think I'll keep coming back anyways 😂 just thought I'd share my experience.

  • @Greenemath

    @Greenemath

    4 ай бұрын

    It is often easier for someone who has trouble paying attention to read and work problems in a textbook. You might try that and see if you get a better outcome, good luck!

  • @kazuya3849
    @kazuya38493 ай бұрын

    this is exactly what i needed

  • @kazuya3849

    @kazuya3849

    3 ай бұрын

    because the one on algebra 1 course was pretty rushed

  • @Greenemath

    @Greenemath

    3 ай бұрын

    The word problems were not rushed in Algebra 1 as you suggested. Try re-watching a lesson if you are having trouble. Topics that are more difficult require more effort to master.

  • @kazuya3849

    @kazuya3849

    3 ай бұрын

    ​@@Greenemathsorry to say but your perspective will always differ from that of a student. of course a bias may occur considering it's your work. what I saw on algebra was was you just speedran the problems, you just read it and answered it without going in depth like you usually do. so can I ask what happened to your previous teaching style?

  • @kazuya3849

    @kazuya3849

    3 ай бұрын

    plus there is no point rewatching a video that doesn't explain anything (i still did). but thank you anyways. I'm just gonna have to look on a different video. although this was decent

  • @Greenemath

    @Greenemath

    3 ай бұрын

    @kazuya3849 Why don't you try working through the examples in a textbook? Here are three links from OpenStax, which is a free online textbook. Those are a good place to get started. I think if you work through all the examples, you will have a good understanding of how to set up and solve a word problem. It's one of those topics you really need to do on your own. openstax.org/books/elementary-algebra-2e/pages/3-introduction openstax.org/books/intermediate-algebra-2e/pages/2-2-use-a-problem-solving-strategy openstax.org/books/college-algebra-2e/pages/2-3-models-and-applications

  • @Asterics.
    @Asterics. Жыл бұрын

    Hey, I just want to know how to identify the variable easily, I can do the consecutive integer and some of the bill problems, but in mixture I struggle to understand, my goal is to know the variable and set the equation in spite of different concept of the word problems, is it pure logic or are there super tips for it? And this video is very helpful for me, I hope u live ur best life 🙏🏻

  • @Greenemath

    @Greenemath

    Жыл бұрын

    The set up for word problems just comes from lots and lots of practice. The problem types keep coming up over and over again. Each problem type has a very specific strategy. I have a video that follows this one in the playlist with lots more examples if you want to check that out. Otherwise you can search for "applications of linear equations" problems online and see what you find. If you work around 25 of each type of problem, you should a full understanding of the set up for each problem.

  • @Asterics.

    @Asterics.

    Жыл бұрын

    @@Greenemath thank u, appreciate it

  • @Abhishek-lp3df
    @Abhishek-lp3df Жыл бұрын

    Highly recommended! I am in spree for revising my math material ? Do you any guide or material for GRE's math section?

  • @Greenemath

    @Greenemath

    Жыл бұрын

    Just get a GRE math workbook. The math section for the GRE is super basic. I just did a basic review and was fine. It's only Algebra and Geometry.

  • @Abhishek-lp3df

    @Abhishek-lp3df

    Жыл бұрын

    @@Greenemath yup but thing is I am tryna score full. Still if you have something on gre let me know. And second gre is big market if u upload like a 10 hour video on it covering whole gre that video may blow up. And I see you already have covered much of topic. This may come easy for you. Also I would love to provide u with materials.

  • @OhHellNahBruh
    @OhHellNahBruh3 ай бұрын

    Yo dude great video, very useful for me. Can you make a video on geometry worded problems?

  • @Greenemath

    @Greenemath

    3 ай бұрын

    Just search on KZread for what you need. Here is an example of what you are looking for: kzread.info/head/PLF7E38C5D43CA3731&si=JdDGCiwSR-7CsSL4

  • @OhHellNahBruh

    @OhHellNahBruh

    3 ай бұрын

    Thanks alot dude!

  • @fhdbsgs3964
    @fhdbsgs39642 жыл бұрын

    These are helpful for my asvab

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    Good luck.

  • @gigigigi4411
    @gigigigi44113 жыл бұрын

    Thanks

  • @Greenemath

    @Greenemath

    3 жыл бұрын

    You are very welcome! 😎

  • @MYfriendsknow
    @MYfriendsknow10 ай бұрын

    Thank you

  • @Greenemath

    @Greenemath

    10 ай бұрын

    You're welcome

  • @pythoncnc2411
    @pythoncnc2411 Жыл бұрын

    nice job😀

  • @Greenemath

    @Greenemath

    Жыл бұрын

    Thanks 😁

  • @GravitySix-G6
    @GravitySix-G610 ай бұрын

    Hello Greene! Can I please post my questions that are not in video but related to topic? I am trying my best to be better at math

  • @Greenemath

    @Greenemath

    10 ай бұрын

    www.reddit.com/r/learnmath is an excellent forum to use for free answers to your math related questions. Good luck!

  • @user-nm2si9up8e
    @user-nm2si9up8e2 жыл бұрын

    Thank you SO much for this video. May I ask if this is 8th or 9th grade math?

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    It's not for any particular grade level, since each school determines what they want to teach. Also, some students start Algebra in 6th grade, while others start in the 9th grade. I would just say it would go nicely with any Algebra 1 or Algebra 2 book you are working with.

  • @user-nm2si9up8e

    @user-nm2si9up8e

    2 жыл бұрын

    @@Greenemath Got it, thank you!

  • @jessicawang6079
    @jessicawang6079 Жыл бұрын

    In question about Steve and Larry, is it possible that you may have gotten wrong. I have got Larry 60, Steve 26 and Max as 45. I think that you may have divided 60 by 3 rather than x by three leading you to get 20 +9.

  • @Greenemath

    @Greenemath

    Жыл бұрын

    The answer in the video is fully correct. Larry is 60, Steve is 29, and Max is 42. This is checked at 58:50. Your answer given is wrong. You said that Larry is 60, Steve is 26, and Max is 45. Think about the first sentence in the word problem. It states that 9 years ago, Steve was 1/3 of Larry's current age. By your calculations Steve is (26 - 9 = 17 years old) 9 years ago and that is not 1/3 of Larry's current age, which you stated is 60. I think you are missing the "current age" part for Larry, not his age 9 years ago.

  • @tobyharnish8952

    @tobyharnish8952

    Жыл бұрын

    ​@@Greenemath ​ I have a question for you. So I got the following answer: m=36 s=26 l=51 According to the constraints, my solutions also works. For example, when I plugged in my solutions to my first equation (s-9=1/3l) 26-9=1/3(51) 17=1/3(51) 17=17 //True Now, the second equation (l-s=m-11). 51-26=36-11 25=36-11 25=25 // True Here is my work: s-9=1/3l l-s=m-11 1/3l+9+l+l-1/3l+9+11=131 2l+29=131 l=51 s-9=1/3(51) s=26 51-26=m-11 25=m-11 m=36 Now the weired part is that when I tested this for the third constraint, it does not add up to 131. 51+26+36=113 Not sure what I have done wrong.

  • @cereal8193
    @cereal81937 ай бұрын

    may i ask what is the program you are using?? appreciate the video btw ❤❤❤❤

  • @Greenemath

    @Greenemath

    7 ай бұрын

    Filming and Editing: Camtasia Writing: Microsoft Journal

  • @spoonfed7999
    @spoonfed79993 жыл бұрын

    thanks man XD

  • @Greenemath

    @Greenemath

    3 жыл бұрын

    You are welcome!

  • @wayka3567
    @wayka3567 Жыл бұрын

    2:11:41 where is there a number like (0.5) or (.1) I didn't understand where is there %???

  • @Greenemath

    @Greenemath

    Жыл бұрын

    That is the value per coin, not a percentage. In other words, one dime is 0.1 dollars.

  • @hatban04
    @hatban045 ай бұрын

    34:51 Can I set to 2X-2,2x,2X+2? Because this calculation was fine,but even if X become odd So we have to calculate more

  • @Greenemath

    @Greenemath

    5 ай бұрын

    Are we talking about the same problem? The sum of three consecutive even integers is 30. Find the integers. If you want to show me all of your steps, I can take a look. At this point, I don't understand any of the modeling you are doing or why "2x" is involved.

  • @lIIIllllIIIIIIllllllllIIIII
    @lIIIllllIIIIIIllllllllIIIII2 жыл бұрын

    you're underated

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    Good luck with your studies.

  • @gulbargahussain791

    @gulbargahussain791

    2 жыл бұрын

    Tq sooooo much can you make a video of how to solve ratio and proportion

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    @@gulbargahussain791 kzread.info/dash/bejne/foR7l4-CnJzRfaQ.html

  • @ishasingh6210
    @ishasingh6210 Жыл бұрын

    what does it mean when you say let X equal to the smallest??

  • @Greenemath

    @Greenemath

    Жыл бұрын

    the smallest integer

  • @ishasingh6210

    @ishasingh6210

    Жыл бұрын

    @@Greenemath ;thanks

  • @JoshuaM-dx4oy
    @JoshuaM-dx4oy9 ай бұрын

    What's the age level for this cource ?

  • @Greenemath

    @Greenemath

    9 ай бұрын

    There is no age level for mathematics. You can study at any age you like.

  • @akihiko99
    @akihiko99 Жыл бұрын

    14:35 why are you dividing both side with 19 ? Is it because of unitary method? Or else you can do 19 × x = -266 X = -266/19 X= -14

  • @Greenemath

    @Greenemath

    Жыл бұрын

    19 is the coefficient of x. In order to isolate x, we can divide both sides of the equation by 19 or multiply both sides by 1/19.

  • @akihiko99

    @akihiko99

    Жыл бұрын

    @@Greenemath so for every equation like this . We will take coefficient of x and divide it with both side. Right

  • @Greenemath

    @Greenemath

    Жыл бұрын

    @cnon6692 Yes, something like ax = c can be solved by saying x = c/a, in other words, just divide both sides of the equation by a, which is the coefficient of x.

  • @callxaditya
    @callxaditya3 ай бұрын

    Hello sir, will this video help me in gre exam

  • @Greenemath

    @Greenemath

    3 ай бұрын

    I would look at either a specific playlist or get a workbook that follows the test. www.ets.org/gre/test-takers/general-test/prepare/content/quantitative-reasoning.html

  • @joeffreymanuel4787
    @joeffreymanuel47872 жыл бұрын

    you said that 2,6,8,10....are even nmbrS when you are solving the problem nmbr two searching for odd number , you use again even number? which is X+X+2X+4 instead of X+X+1+X+3? correct me if im wrong.

  • @Greenemath

    @Greenemath

    2 жыл бұрын

    The difference between two odd numbers is also 2. So you need: x, x + 2, x + 4, so on and so forth. 1, 3, 5, 7, 9 are all 2 away from each other. In your modeling you are not finding the next odd number. If x was 1 let's say and you wanted x + 1, now you have 1 + 1 or 2. Think about it for a while and try to work the problem again.

  • @user-gd1td1qw2k
    @user-gd1td1qw2k7 ай бұрын

    Are you in Australia

  • @Greenemath

    @Greenemath

    7 ай бұрын

    California, in the U.S.

  • @techwithprakharOFFICAL
    @techwithprakharOFFICAL3 ай бұрын

    Greenemath in the Multiplication problem you gave 1/2x = 28 wouldn't it be 14?! Pls respond great course btw❤

  • @Greenemath

    @Greenemath

    3 ай бұрын

    What's the time marker of the problem?

  • @techwithprakharOFFICAL

    @techwithprakharOFFICAL

    3 ай бұрын

    ​@@Greenemath15:19 is the time maker

  • @Greenemath

    @Greenemath

    3 ай бұрын

    @techwithprakharOFFICAL I solved the problem in the video. The solution is x = 56 at 15:35.

  • @techwithprakharOFFICAL

    @techwithprakharOFFICAL

    3 ай бұрын

    ​@@GreenemathYea sorry i did a mistake I got the answer x = 56 sorry for disturbance Love your courses

  • @Greenemath

    @Greenemath

    3 ай бұрын

    @techwithprakharOFFICAL I'm glad you figured it out, good luck with your studies.

  • @Asterics.
    @Asterics. Жыл бұрын

    5:12:50

  • @Greenemath

    @Greenemath

    Жыл бұрын

    😎

  • @kingsville5022
    @kingsville5022 Жыл бұрын

    Is this also for 8th grade algebra?

  • @Greenemath

    @Greenemath

    Жыл бұрын

    It could be used for anyone studying word problems. The grade level wouldn't matter too much. Some of the quadratic and probability stuff is more at the end of Algebra 1 or middle of Algebra 2.

  • @Study_ASMR.
    @Study_ASMR. Жыл бұрын

    The age word problem of John, Clyde, and Beth is still a little confusing but otherwise it was great!

  • @Greenemath

    @Greenemath

    Жыл бұрын

    Age word problems are always tricky.

  • @Bpharrel-cs2fd
    @Bpharrel-cs2fd7 ай бұрын

    Man this stuff is not easy

  • @Greenemath

    @Greenemath

    7 ай бұрын

    Word problems are a struggle for most people. It's just a topic that requires lots and lots of practice. Good luck!

  • @Bpharrel-cs2fd

    @Bpharrel-cs2fd

    5 ай бұрын

    Yeah it seems like when you discover one new factor there is another

  • @GDZymon2.2
    @GDZymon2.2 Жыл бұрын

    I am a baby riwght noyw!

  • @Greenemath

    @Greenemath

    Жыл бұрын

    Keep practicing and you will be an adult.

  • @M0reSake
    @M0reSake Жыл бұрын

    Thanks

  • @Greenemath

    @Greenemath

    Жыл бұрын

    You are welcome, thanks for the donation!