Combining Like Terms and Adding and Subtracting Polynomials | ASVAB & PiCAT Algebra Review

In this video, I discuss what like terms are and how to combine them. In addition, I discuss what polynomials are as well as how to add and subtract them. In order to do well on the Armed Services Vocational Aptitude Battery (ASVAB), you must be comfortable solving problems that are similar to the ones in this video.
Grammar Hero's Free 2021 ASVAB AFQT Study Guide:
• Grammar Hero's 2024 AS...
0:00​​​​​​​​ Intro
1:22 What Are Like Terms?
4:05​​​​ Practice Identifying and Combining Like Terms
11:35​​​​ What Are Polynomials?
13:10​​​​ Four Types of Polynomials: Monomial, Binomial, Trinomial, Quadrinomial
14:37 How to Add Polynomials
17:53​​​​ How to Subtract Polynomials
22:37​​​​ Ten ASVAB Practice Questions
42:42​​​​​​ Outro
How to Study For & Pass the Word Knowledge Part of the ASVAB for Free: VocabTest.com (2,400 words): • How to Study For & Pas...
Free ASVAB/PiCAT Math Boot Camp: • Free ASVAB/PiCAT Math ...
Arithmetic Reasoning Practice Tests For the ASVAB: • Arithmetic Reasoning P...
Mathematics Knowledge Practice Tests for the ASVAB: • Mathematics Knowledge ...
Algebra on the ASVAB: • Algebra Review for the...
Geometry on the ASVAB: • Geometry Review for t...
Word Problems on the ASVAB: • A Review of Word Probl...
A Review of Fractions for the ASVAB: • A Review of Fractions ...
Basic Math Concepts on the ASVAB: • A Review of Basic Math...
Free ASVAB Reference Sheet: www.asvabapp.com/Reference.pdf
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Пікірлер: 42

  • @lukewilliamsb
    @lukewilliamsb3 жыл бұрын

    I've started watching your videos after purchasing a book on the ASVAB. Your videos seemed to explain things better! I took the ASVAB 12 years ago, I was attempting to raise my GT score from a 100 to a 110. I only watched your videos, approximately 10 hours over a period of a month! No tutor, no books, etc... Just walked out from taking the test and I'm sitting at a 119 GT score, 77 percentile overall! Thanks for your help!

  • @itskenny6955
    @itskenny69553 жыл бұрын

    This Video is amazing its just what I needed!!!!!! Thank You

  • @robertmckenzie6166
    @robertmckenzie61662 жыл бұрын

    thank you very much Grammar Hero, i thought ill never be able to solve something on the AFQT Math section, but you really got me covered especially in this video

  • @GrammarHero

    @GrammarHero

    2 жыл бұрын

    You're welcome, and good luck!

  • @ceebee7241
    @ceebee72412 жыл бұрын

    The Goat 🐐 himself! Thanks to you ! GT score 102 , AFQT Percentile Score 52n!

  • @GrammarHero

    @GrammarHero

    2 жыл бұрын

    Congrats, you're welcome, and I wish you the best if you join the military!

  • @Mr.GONZO2
    @Mr.GONZO23 жыл бұрын

    Bro thanks i went from a 34 to a 45

  • @cryawthin
    @cryawthin2 жыл бұрын

    Because Of you I pass the ASVAB Test. Thankyou❤️

  • @GrammarHero

    @GrammarHero

    2 жыл бұрын

    Congrats, you're welcome, and I wish you the best if you join the military!

  • @cryawthin

    @cryawthin

    2 жыл бұрын

    @@GrammarHero Yes. Im Joining❤️

  • @aaza8905
    @aaza89053 жыл бұрын

    Just wanted to say thank you, your videos had help me a lot! Finally pass the ASVAB now I’m ready for MEPS for my physical exams! This channel is awesome!!

  • @GrammarHero

    @GrammarHero

    3 жыл бұрын

    Congrats on passing, you're welcome, and I wish you the best if join the military! Good luck at MEPS!

  • @lalukhapangimagar4903

    @lalukhapangimagar4903

    3 жыл бұрын

    My Recruiter said assembling abject that this program was already closed 1 week ago it's true?(AAZA)

  • @aaza8905

    @aaza8905

    3 жыл бұрын

    @@lalukhapangimagar4903 well not, I took it on Tuesday and it was still there so I don’t know if scores aren’t valid no more but it is still in the ASVAB

  • @lalukhapangimagar4903

    @lalukhapangimagar4903

    3 жыл бұрын

    @@aaza8905 thanks for information From which state did you took

  • @aaza8905

    @aaza8905

    3 жыл бұрын

    @@lalukhapangimagar4903 CA bro

  • @Jbupnext
    @Jbupnext Жыл бұрын

    Thank you this helps so much!!!

  • @GrammarHero

    @GrammarHero

    Жыл бұрын

    You're welcome, and good luck!

  • @jaheimthomas2347
    @jaheimthomas2347 Жыл бұрын

    Amazing video!

  • @GrammarHero

    @GrammarHero

    Жыл бұрын

    Everything you need for the test is on this channel. Good luck!

  • @acehankins3450
    @acehankins3450 Жыл бұрын

    Thank you sir! I finally understand polynomials, I hope and pray the next time I try I’ll pass

  • @GrammarHero

    @GrammarHero

    Жыл бұрын

    I'm glad to hear that. In my Algebra review playlist, I think I have 4 videos on the topic. Please check it out if you need more help: kzread.info/head/PLhlU-GzAQeG32uoM-Brd8JueNwDHZWz-o Good luck!

  • @rexxylexxi9051
    @rexxylexxi9051Ай бұрын

    Thank you again :)

  • @GrammarHero

    @GrammarHero

    Ай бұрын

    You're welcome, and good luck!

  • @sofiasalcedo7260
    @sofiasalcedo7260 Жыл бұрын

    Hi Grammar Hero I just commented on another video about how to add and subtract numbers on questions like this. I am confused at 33:40 in the video.

  • @GrammarHero

    @GrammarHero

    Жыл бұрын

    I had a video on adding and subtracting positive and negative integers. Here: kzread.info/dash/bejne/laFpu6OvqNTUp9I.html

  • @TheDwoods14
    @TheDwoods142 жыл бұрын

    Can you give me an explanation? I thought when simplifying algebraic expressions the largest exponent comes first, then variables, then constants. But I'm getting confused because sometimes I'll see an answer written a^2 + 5a + 4b^2 INSTEAD OF 4b^2 + a^2 + 5a, OR x^4 + z^4 - z^5 INSTEAD OF z^5 being first. Another example, is the problem 3z^2(6xy +4z) = 18xyz^2 + 12z^3 why is the z^2 in the first term after the XY?

  • @GrammarHero

    @GrammarHero

    2 жыл бұрын

    Generally speaking, the highest exponent comes first, then variables, and then constants. In reality, you just want to make sure all of the variables and constants are there in the answer choice. You might see it either way on the test.

  • @TheDwoods14

    @TheDwoods14

    2 жыл бұрын

    @@GrammarHero Thnx, so if i had to write an answer and then submit it, it none of those are technically wrong?

  • @shiijei2638
    @shiijei263810 ай бұрын

    If you have a problem with more than 2 sets of polynomials in parentheses, example: (1x-2)-(5-x)+(3x^2-4+y) do you distribute to just the polynomial right next to the - symbol or do you distribute to all the remaining sets, so the second and third in this example.

  • @GrammarHero

    @GrammarHero

    10 ай бұрын

    You follow the order of operations. In for the order of operations, addition and subtraction have equal precedence, you work them out as the appear in the expression from left to right. You only distribute signs that correspond to the terms that are in each set of parentheses, not all of the remaining ones.

  • @GrammarHero

    @GrammarHero

    10 ай бұрын

    For example: 6 - (-7) + 5 = 6 + 7 + 5 = 18 Why would I ever distribute that negative sign to the 5? The same applies to polynomials, but you can have multiple terms inside the parenthesis.

  • @GrammarHero

    @GrammarHero

    10 ай бұрын

    For example: x - (-4x + 2) + 10x = x + 4x - 2 + 10x = 15 x - 2

  • @steventate9276
    @steventate92762 жыл бұрын

    I am wondering if there is a reason you wrote it as 10c+6z and not 6z +10c. the 6z appears first in the equation.

  • @GrammarHero

    @GrammarHero

    2 жыл бұрын

    C comes before Z in the alphabet.

  • @GrammarHero
    @GrammarHero3 жыл бұрын

    Some feedback from JUST THE PAST TWO DAYS! You literally just need to watch the videos in my study guide playlist and then take about 10 practice tests to pass the ASVAB. It's that simple. Grammar Hero's 2021 ASVAB AFQT Study Guide: Free ASVAB Tutoring and Practice Tests kzread.info/dash/bejne/oKx-y8Nwh8u_hrg.html _______________ Just re took my asvab to raise my GT score. Went from a 62 to a 75 and 105 to 115 GT score. Thank you again so much. Truly the Goat! _______________ Hey man I just want to say thank you so much for this channel! Your videos made up 90% of my study material for the ASVAB. I took it today and got an 87 AFQT and a 124 GT! Without your help I do not think I would have scored so well. Thanks again. Im a BIG fan of your work. _______________ Thankyou so much i scored 77 and today im in the hotel waiting to get shipped of. I watched all of your videos. HIGHLY RECOMMENDED!!!!! _______________ Grammar Hero is the man! I got an 80 on my asvab with pretty good line scores. I went from a 40 on the practice asvab to an 80 on the actual asvab, thats a 40 point increase.😀 I studied his videos for a month and took notes on everything. I bought the asvab books but honestly grammar hero's video did more for me than those books did. He just goes so much more in depth and explains it in a way you can understand. If you want to pass your asvab than definitely study up on grammer heros video's! _______________ Thank you so much! I really didn’t think that this would work but you got me from a 21 to a 67!!!! I really appreciate all your hard work with your videos and your tests keep up the great work!!!!! _______________ First time I took the asvab I scored a 22. I discovered your videos & took the asvab again today & scored a 68! I go up to meps in a couple days. Thank you so much! Your videos helped so much, you’re a lifesaver _______________ I passed thank you so much for your videos I would've never passed if it weren't for your practices God bless you sir🙏🙏 _______________ I scored an 87 on my asvab. I took it March 8th haven’t got back to you but I thank you for your videos. I went from 23 to an 87. I had waited 6 months due to a lot of recruiters ghosting me !!! I was hurt but I’m so proud of myself. Thank you so much. You are amazing and I took my time but I flew through the math like it was nothing !!! _______________ Hello Grammar Hero! I don't know if you still remember me, but I took my PICAT 3 weeks ago and verified it yesterday and passed with a 61. Back then I did a self study on and off for a few months took the asvab and ended up with 18. At that time I lost so much hope and confidence. But when I came across your channel you helped me go from 18 to a 61 within 2 months! Guys I am telling you grammar hero is the best, his dedication and hard work really pays off. Thanks a lot of your help I couldn't have done it without you. HIGHLY RECOMMENDED!!💯💯 _______________ I've started watching your videos after purchasing a book on the ASVAB. Your videos seemed to explain things in a way I understood. I took the ASVAB 12 years ago and I was attempting to raise my GT score from a 100 to a 110. I only watched your videos, approximately 10 hours over a period of a month! No tutor, no books, etc... Just walked out from taking the test and I'm sitting at a 119 GT score, 77 percentile overall! Thanks for your help! _______________ Just passed my the ASVAB this pass Saturday and I’m going to ship off on October. All I can say is....... thank you for your fantastic videos 🙏🏿 _______________ @grammarhero I want to thank you I pass my ASVAB today and did my MEPS the same day got my job and oath same day !!!!!!!!!!!! Without you it wouldn’t be possible I studied all your videos 8 hours a day for 2 months today I got a 66 it’s because of you thank you soooo much 🙏🏽 👌🏽🐐 _______________ Just wanted to say thank you, your videos had help me a lot! Finally pass the ASVAB now I’m ready for MEPS for my physical exams! This channel is awesome!! _______________ I just took ASVAB then I passed!! Thank you so very much for all your support:) _______________ So, I want to share my good news! I PASSED the ASVAB and qualify for the job of interest. All the long days and nights studying, watching your videos and utilizing resources that worked for my method of learning, paid off. I want to thank you for all your helpful videos, practice tests and reference sheet you made available to us viewers. Thank you GH! 🦸‍♂‍

  • @user-pw5kq2td2y
    @user-pw5kq2td2y11 ай бұрын

    i took the asvab 3 days ago got a 29. i am praying i get higher then a 29 in a month i am so nervous now. I have never been good at math or school subjects.

  • @GrammarHero

    @GrammarHero

    11 ай бұрын

    Good luck! Everything you need to prepare for the test is freely available on my channel!

  • @shiijei2638

    @shiijei2638

    10 ай бұрын

    " I have never been good at math or school subjects" Neither have I, but it's my fault, I never applied myself. I always learned just enough to barely pass tests and never practiced so it's no wonder that I'm bad at math. But it doesn't mean that we can't learn it! I hope you do well on your test!

  • @Globbzy
    @Globbzy3 жыл бұрын

    Welp... I passed with a 33. Now on to the PiCat🙄🙄

  • @GrammarHero

    @GrammarHero

    3 жыл бұрын

    Good luck!

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