College Algebra Final Exam Review

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  • Опубліковано 22 лип 2024
  • In this video we go through 50 typical questions covered on a college algebra final exam. We go through formulas, concepts, and things to pay attention to as we go step by step through each of these different 50 examples.
    Time Stamps:
    0:28 Identifying Quadrants Points are in
    1:17 Solving a linear equation with variables on both sides
    2:57 Solving a Rational Equation with Variables in Denominator
    5:02 Solving a Rational Equation Example 2
    7:37 Solving a Literal Equation for a Particular Variable
    8:33 Systems of Linear Equations involving interest earned Word Problem
    10:32 Solving a Radical Equation
    12:53 Absolute Value Equation
    14:16 Absolute Value Inequality
    17:00 Solve a Quadratic Inequality Using the Number Line
    19:57 Solving Rational Inequality Using the Number Line
    23:11 Finding the Slope between 2 Points
    24:16 Find Equation of Perpendicular Line through a Given Point
    26:30 Find Distance and Midpoint
    28:15 Write Standard Equation of a Circle
    29:04 Is y a function of x?
    31:10 Evaluate Given a Piecewise Function
    32:10 Find the Domain Given an Equation
    33:17 Find the Range Given a Graph
    34:00 Describe the Transformations Given an Equation
    36:38 Find the Composition of 2 Functions
    38:06 Find the Inverse of a Function Given Equation
    39:15 Is the Graph 1 to 1?
    40:31 Find the Vertex of a Parabola Given Vertex Form
    41:13 Find the Vertex Given Standard Form of a Quadratic
    42:01 Find the Vertex Given Intercept Form of a Parabola
    43:21 Sketch the Polynomial Given Factored Form
    45:50 Describe the End Behavior of a Polynomial Given Equation
    47:33 Divide Polynomials Using Synthetic Division
    48:46 Find all the Zeros of the Polynomial Using Rational Root Thm
    51:31 Write a Polynomial with Integer Coefficients Given Imaginary Zeros
    53:08 Graph a Rational Function with Asymptotes, Zeros, Test Points
    56:05 Write an Inverse Variation Equation and Solve
    57:38 Compound Interest Word Problem
    58:42 Evaluate Logarithms
    59:35 Graph a Logarithmic Function
    1:01:10 Expand a Logarithmic Expression
    1:02:06 Condense a Logarithmic Expression into 1 Log
    1:03:00 Solve a Logarithmic Equation
    1:04:12 Compounding Continuously Word Problem
    1:05:51 Solve a System of Linear Equations
    1:07:17 Add, Subtract, and Multiply Complex Numbers
    1:09:14 Solve an Exponential Equation by Getting Bases Equal
    1:10:43 Solve an Exponential Equation by Using Logs
    1:11:46 Given a Table Decide Linear or Nonlinear
    1:12:41 Solve the Quadratic Equation Using Quadratic Formula
    1:15:03 State the Minimum Degree of Polynomial Given Graph
    1:16:08 Where is the Graph Increasing (Interval Notation)
    1:17:05 Graph an Exponential Equation with Transformations
    1:19:30 Solve a System of 3 Equations with 3 Variables
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КОМЕНТАРІ • 59

  • @MariosMathTutoring
    @MariosMathTutoring  Рік тому +10

    Time Stamps:
    0:28 Identifying Quadrants Points are in
    1:17 Solving a linear equation with variables on both sides
    2:57 Solving a Rational Equation with Variables in Denominator
    5:02 Solving a Rational Equation Example 2
    7:37 Solving a Literal Equation for a Particular Variable
    8:33 Systems of Linear Equations involving interest earned Word Problem
    10:32 Solving a Radical Equation
    12:53 Absolute Value Equation
    14:16 Absolute Value Inequality
    17:00 Solve a Quadratic Inequality Using the Number Line
    19:57 Solving Rational Inequality Using the Number Line
    23:11 Finding the Slope between 2 Points
    24:16 Find Equation of Perpendicular Line through a Given Point
    26:30 Find Distance and Midpoint
    28:15 Write Standard Equation of a Circle
    29:04 Is y a function of x?
    31:10 Evaluate Given a Piecewise Function
    32:10 Find the Domain Given an Equation
    33:17 Find the Range Given a Graph
    34:00 Describe the Transformations Given an Equation
    36:38 Find the Composition of 2 Functions
    38:06 Find the Inverse of a Function Given Equation
    39:15 Is the Graph 1 to 1?
    40:31 Find the Vertex of a Parabola Given Vertex Form
    41:13 Find the Vertex Given Standard Form of a Quadratic
    42:01 Find the Vertex Given Intercept Form of a Parabola
    43:21 Sketch the Polynomial Given Factored Form
    45:50 Describe the End Behavior of a Polynomial Given Equation
    47:33 Divide Polynomials Using Synthetic Division
    48:46 Find all the Zeros of the Polynomial Using Rational Root Thm
    51:31 Write a Polynomial with Integer Coefficients Given Imaginary Zeros
    53:08 Graph a Rational Function with Asymptotes, Zeros, Test Points
    56:05 Write an Inverse Variation Equation and Solve
    57:38 Compound Interest Word Problem
    58:42 Evaluate Logarithms
    59:35 Graph a Logarithmic Function
    1:01:10 Expand a Logarithmic Expression
    1:02:06 Condense a Logarithmic Expression into 1 Log
    1:03:00 Solve a Logarithmic Equation
    1:04:12 Compounding Continuously Word Problem
    1:05:51 Solve a System of Linear Equations
    1:07:17 Add, Subtract, and Multiply Complex Numbers
    1:09:14 Solve an Exponential Equation by Getting Bases Equal
    1:10:43 Solve an Exponential Equation by Using Logs
    1:11:46 Given a Table Decide Linear or Nonlinear
    1:12:41 Solve the Quadratic Equation Using Quadratic Formula
    1:15:03 State the Minimum Degree of Polynomial Given Graph
    1:16:08 Where is the Graph Increasing (Interval Notation)
    1:17:05 Graph an Exponential Equation with Transformations
    1:19:30 Solve a System of 3 Equations with 3 Variables

  • @nnomtnert7924
    @nnomtnert7924 Рік тому +48

    Posted literally 3 days before my College Algebra final. This is a godsend. Thank you so much!

  • @itszoot89
    @itszoot89 Рік тому +24

    I wanted to take a moment to express my deepest gratitude for the invaluable help you have provided me through your UA-cam playlist. Thanks to your dedication and expertise, I was able to pass my math GED test a few weeks ago.
    Your teaching style and approach resonated with me in a way that allowed me to grasp the concepts quickly and effectively. I truly appreciate the effort you put into creating the entire college algebra math course. It is a remarkable resource that has given me the confidence in my ability to learn math.
    Words cannot express how grateful I am for your selflessness and generosity in sharing your knowledge with the world. You have made a significant impact on my educational journey, and I feel truly blessed to have stumbled upon your videos.
    I am getting ready for my college algebra course on June 7th, for once I am actually excited and confident going into it, knowing that I have your exceptional videos to help me. I am sure that your course overview will be helping me succeed.
    Once again, thank you from the bottom of my heart for your unwavering commitment to education and for the positive influence you have had on my life. Your dedication has inspired me to strive for more than I thought I could do, and I am forever grateful.

    • @MariosMathTutoring
      @MariosMathTutoring  Рік тому +3

      Glad my videos have helped you. Thank you for your kind words. Wishing you continued success.

    • @theseeds9920
      @theseeds9920 2 місяці тому

      How have you done in the course? I will be taking mine very soon and wanted to know your experience and grades (if willing) so that I can know what to expect.

  • @Lenlar-up8ut
    @Lenlar-up8ut 2 місяці тому +4

    who else be watching 30min before the test at x2 speed

  • @natalieburney6981
    @natalieburney6981 Рік тому +15

    Omggg! I loved this review! You basically explained my whole semester under 1.5hrs!!! And my final is tomorrow 🙌🏾

  • @thevoiceofprophecytoday
    @thevoiceofprophecytoday Рік тому +8

    Sir Mario is an exceptional Math Tutor on UA-cam! He makes math become easy to study. Thank God for your life Sir and God's blessings 🙌

  • @martinshewfelt1236
    @martinshewfelt1236 Рік тому +2

    Thank you Mario! I'm working through the online Modern States College Algebra course for the CLEP so I won't have to take the class in Fall & will come back to this towards the end

  • @CarlosLopez-xm3yn
    @CarlosLopez-xm3yn Рік тому

    Very helpful and instructional, I will be coming back!

  • @Cristiferbeast
    @Cristiferbeast 11 місяців тому +1

    By far the best review I’ve seen on UA-cam

  • @jessicamartinez9528
    @jessicamartinez9528 4 місяці тому

    I stayed throughout the whole video! great teaching skills THANK YOU!!!!

  • @user-sj9hn4fj8e
    @user-sj9hn4fj8e Рік тому +1

    you are the best, thank you so much. I love the way you teach math

  • @BillSwick-bk7ms
    @BillSwick-bk7ms 24 дні тому

    Thank you sir so much you saved me on my algebra final. I’m in middle school taking high school algebra and this saved me and I got a perfect score. Thank you so much!

  • @TheZombieTroll100
    @TheZombieTroll100 7 місяців тому +2

    This was so much better than how my teacher taught it. Thank you so much!

  • @dylanperez6018
    @dylanperez6018 11 місяців тому

    this video helped a lot. i was getting lost when you would start doing synthetic division and when you got to finding the zeros. Probably my professor taught us another way but some problems confused me even more.

  • @mal6305
    @mal6305 7 місяців тому

    Just wanted to tell you that my final was yesterday and I used this video as a review! Watched it 3+ times and got a B on my final! Thank you so much!!

  • @Al0Al0
    @Al0Al0 7 місяців тому

    Loved it! Thank you.

  • @abigailofori9504
    @abigailofori9504 2 місяці тому

    Can you check number 38. The way you condensed it will give a different answer because of the negative (-2 log y)

  • @Boiling_milk
    @Boiling_milk Рік тому

    Great video very helpful, do you have any worksheets that can go along with this for extra practice?

    • @MariosMathTutoring
      @MariosMathTutoring  Рік тому +1

      No, sorry but you can check out my Algebra 2 Final exam and midterm review videos like this one here: Algebra 2 Final Exam Review 2nd Semester
      ua-cam.com/video/qKehhKwFj4k/v-deo.html

  • @yeetjason6796
    @yeetjason6796 3 місяці тому

    using this to fall asleep :) thanks so much

  • @henry_rios1415
    @henry_rios1415 3 місяці тому

    This was great thanks!

  • @WellsKnowsBall
    @WellsKnowsBall 7 місяців тому

    This was awesome

  • @ejthegreat115
    @ejthegreat115 7 місяців тому

    god bless you sir this is a godsend of a video!

  • @Tyler-nf2gu
    @Tyler-nf2gu 2 місяці тому

    Not me watching 3 1-2 hour videos the day before my introductory chem exam and now my college algebra exam 😂😂

  • @user-pm6be4ik1y
    @user-pm6be4ik1y 9 місяців тому

    hi is this good review for the college algebra Clep exam will questions be like this or more complex ?

    • @MariosMathTutoring
      @MariosMathTutoring  9 місяців тому

      Yes but I would also watch my algebra 2 midterm review and algebra 2 final exam review for additional problems and examples.

  • @jjibek
    @jjibek Рік тому

    thank you👍

  • @hi-tf7rr
    @hi-tf7rr 6 місяців тому

    Thank you so much for this! Quick question: is college algebra the same as algebra 1 and 2?

    • @MariosMathTutoring
      @MariosMathTutoring  6 місяців тому

      Depends on the college class…some classes are called college algebra, intermediate algebra, algebra number such and such…some have a few precalc topics in them as well….just depends on the school and the class really but I’d say in general it is similar to what is studied in a high school algebra 1 and 2 class combined.

    • @hi-tf7rr
      @hi-tf7rr 6 місяців тому

      @@MariosMathTutoring Thank you!

  • @eunicekimani992
    @eunicekimani992 10 місяців тому

    Where is the x go at 10x by 2 ( question 3) 10x by 2=20x but you wrote just 20, where did we lose the x?

    • @MariosMathTutoring
      @MariosMathTutoring  10 місяців тому

      The x in the denominator cancelled out. Hope that helps!

  • @jewels4759
    @jewels4759 Рік тому +3

    my final is in an hour and a half. I hope this video helped lol

  • @BeauMillionFragrance
    @BeauMillionFragrance 4 місяці тому

    So this is why I never understood math…
    I’m on the first equation, the linear equation. You are trying to move all the variable to one side. So you subtract 3x from the right side, but you subtract it from the left as well. Wouldn’t you add it to the left side? I don’t understand the logic

    • @eddiecode100
      @eddiecode100 3 місяці тому

      if you want to move a number like 3x across to the other side of the equal sign, you need to subtract it, so (3x) - (-3x) = 0.
      but you must do the same on the other side in order to keep the equation balanced.
      if you dont do this, you will end up with a completely different equation than what you started with

  • @toast2139
    @toast2139 3 місяці тому

    Person time stamps
    33:53
    39:14
    44:14
    48:56
    51:58
    58:15
    1:00:02
    1:15:26
    56:39

  • @user-hd4or4pd8l
    @user-hd4or4pd8l 9 місяців тому

    Is college algebra the same as the algebra thought in high school? thank you.

    • @MariosMathTutoring
      @MariosMathTutoring  9 місяців тому

      College algebra is similar to the Algebra 2 taught in most high schools.

  • @farmerwithshotgun6736
    @farmerwithshotgun6736 2 місяці тому

    Number is 40 is 1.38 but great video anyways

  • @thatomofolo452
    @thatomofolo452 Рік тому

    🙋👍👍

  • @UniversL0ve
    @UniversL0ve 2 місяці тому

    My exam is in one hour I'll update with the results 😭

    • @UniversL0ve
      @UniversL0ve 2 місяці тому +1

      I got a B which was one point away from an A!! I was shocked because I did last minute studying and it was all thanks to this video 😭🙏

  • @hi-tf7rr
    @hi-tf7rr 6 місяців тому

    43:26

  • @henry._.carson4290
    @henry._.carson4290 7 місяців тому

    💶💵💴💷