fbpx
Skip to content Skip to main menu
Problem Solved Math
Menu
  • Home
  • About
    • About PSM
    • FAQs
  • Courses
    • 6th Grade Math
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Whole Numbers & Decimals
      • Chapter 2: Representing Data In Different Ways
      • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
      • Chapter 4: Divisibility, Factoring Numbers, & Fractions
      • Chapter 5: Addition and Subtraction of Fractions
      • Chapter 6: Multiplication and Division of Fractions
      • Chapter 7: Ratios, Proportions, and Percents
      • Chapter 8: Fundamentals of Geometry
      • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
      • Chapter 10: Introduction to Probability
      • Chapter 11: Integers – Properties, Operations, & Equations
      • Chapter 12: Two-Step Equations and Inequalities
    • Pre-Algebra
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Algebraic Expressions & Operations with Integers
      • Chapter 2: One-Step Equations & Inequalities
      • Chapter 3: Operations and Equations With Decimals
      • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
      • Chapter 5: Fraction Operations & Solving Equations with Fractions
      • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
      • Chapter 7: Solving Equations and Inequalities
      • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
      • Chapter 9: Foundations of Geometry
      • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
      • Chapter 11: Right Triangles and An Introduction to Trigonometry
      • Chapter 12: Data Analysis: Techniques and Calculations
      • Chapter 13: Probability, Combinations, and Permutations
      • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
    • Algebra 1
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1: Algebraic Expressions and Operations with Real Numbers
      • Chapter 2: Solving Equations – From One-Step to Multi-Step
      • Chapter 3: Ratios, Proportions, & Percents
      • Chapter 4: Solving Inequalities
      • Chapter 5: Introduction to Graphs and Functions
      • Chapter 6: Linear Functions and Graphing Lines
      • Chapter 7: Systems of Linear Equations and Linear Inequalities
      • Chapter 8: Exponent Rules & Exponential Functions
      • Chapter 9: Polynomials
      • Chapter 10: Graphing and Solving Quadratic Equations
      • Chapter 11: Introduction to Rational Expressions
      • Chapter 12: Radicals and An Introduction to Trigonometry
      • Chapter 13: Data Analysis: Techniques and Calculations
      • Chapter 14: Probability, Combinations, and Permutations
    • Calculus 1 & 2 / AB / BC
      • Course Overview
      • How to Maximize Your Learning Experience!
      • Chapter 1 – Limits
      • Chapter 2 – Derivatives
      • Chapter 3 – Uses of the Derivative
      • Chapter 4 – Integration
      • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
      • Chapter 6 – Differential Equations and Exponential & Logistic Growth
      • Chapter 7 – Area, Volume, and Arc Length
      • Chapter 8 – Advanced Integration Techniques and Improper Integrals
      • Chapter 9 – Series and Tests for Convergence and Divergence
      • Chapter 10 – Taylor Polynomials and Power Series
      • Chapter 11 – The Calculus of Parametric and Polar Equations
  • Free Videos!
  • Pricing
  • Contact
  • Log In
Home › Courses › Algebra 1 › Archive for Chapter 11: Introduction to Rational Expressions
» Ask a Question
  • This field is for validation purposes and should be left unchanged.

Chapter 11: Introduction to Rational Expressions

This chapter sets you up beautifully for a deep study of Rational Expressions in Algebra 2 and beyond! Please make sure you can rock multiplying and factoring polynomials in Algebra 1 Chapter 9 before crushing this chapter. Your path begins with learning what rational expressions are and how to simplify them. The connections to basic fraction operations are made throughout. You will then become a titan at multiplying and dividing rational expressions before closing out the chapter in style by learning to add and subtract rational expressions. It may be a short party in this chapter, but it is a fun and worthwhile one!! Let’s go!

Not a member yet?  Click here to check out a bunch of free videos to see what makes our approach extraordinary!

Lesson 1 – Simplifying Rational Expressions

Posted on August 5, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 11: Introduction to Rational Expressions

Lesson 2 – Multiplying and Dividing Rational Expressions

Posted on August 5, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 11: Introduction to Rational Expressions

Lesson 3 – Addition and Subtraction of Rational Expressions

Posted on August 5, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 11: Introduction to Rational Expressions
  • 5 star review  If you are looking for an enthusiastic teacher who makes understanding math easy then look no further. Matt came to our rescue when my daughter was struggling in AP Calculus BC. Not only was he able to boost her grade to an A, she also scored a 5 on her AP exam for both Calculus AB and BC. Also, My son went to his SAT class over the summer and after every class he said how much he enjoyed Matt and was excited about what he learned. I will continue to give Matt the highest recommendation which is rare for me since I am a math teacher myself. He is excellent!

    Mrssteph Rothenberg Avatar Mrssteph Rothenberg
    August 7, 2017

    5 star review  My daughter was fortunate to have Mr. Groden for both AP Calc AB and BC and she rocked both classes and the AP exam. Now a college junior she's already sailed though Calc 4 and we attribute her success to the foundation she received from Mr. Groden. He loves teaching and motivating his students and that enthusiasm radiates through everything he does.

    Stacey Poppel Groder Avatar Stacey Poppel Groder
    January 16, 2017
  • 5 star review  Seriously a hero. I was struggling to pass the Praxis Core math section and he was great and fast with setting up a good time to meet and really helped me nail concepts that I needed. I highly recommend meeting with Matt if you feel yourself struggling in any area of math! Thank you again!

    Cayla Ann Avatar Cayla Ann
    August 31, 2018

    positive review  Matt does a fantastic job of helping the students understand how to apply formulas and why they work! He never just has the students memorize formulas. My son really liked his approach and it helped that he made videos to refer to when he needed a refresher during the week. I would highly recommend his courses!

    Kelley Magee Coyne Avatar Kelley Magee Coyne
    August 15, 2018
  • 5 star review  My daughter enjoyed her Alg I review and jump start on Alg II tutoring. Something about the way Matt explained concepts made sense to her. He spoke to her in a way that helped build her confidence and made math less intimidating for her. Highly recommend!

    Crystal Woehr Sabalaske Avatar Crystal Woehr Sabalaske
    August 31, 2018

    5 star review  Matt Groden is the best teacher, academic or otherwise, I've had the privilege of studying under. His passion and dedication to his craft as an educator allow him to take difficult subjects and make them somehow enjoyable. He challenges his students to rise to meet their challenge, and invests personally in their success. He possesses a unique gift to help students visualize and understand mathematical concepts and problems, in addition to the patience and commitment to make sure his students are prepared for what's coming their way. His lessons have impacted my college career in more ways than one, and I'm grateful. If you're looking for a math tutor, there's none better.

    Max Cooper Gordon Avatar Max Cooper Gordon
    January 19, 2017
  • 5 star review  Mr. Groden's excitement for math is contagious, and his commitment to inspiring each and every one of us to succeed is incredible. It was an absolute privilege to learn from him and call him my teacher.

    Dashiell Brown Avatar Dashiell Brown
    January 18, 2017

    positive review  If you are looking for an SAT prep class, look no further. My son took Matt's course this past summer and was able to increase his score 100 points after taking the classes. Thank you, Matt for your help!

    Alice Ann Miller Narlis Avatar Alice Ann Miller Narlis
    November 6, 2018
  • 5 star review  Mr. Groden will do anything for it to click! I remember him rapping in my 10th grade geometry class!

    Rebecca Salt Avatar Rebecca Salt
    January 21, 2017

    5 star review  Matt Groden is a truly innovative Math Teacher. He makes the word of mathematics real, exciting, and meaningful. When a student becomes excited about mathematics, it makes learning almost second nature. I expect nothing but good things to come from the Groden Math Academy. His students will be the fortunate ones.

    Joe Lelinski Avatar Joe Lelinski
    July 17, 2017
  • 5 star review  Matt is incredible at translating the difficult to understand into easy to learn concepts. He helped our son who was struggling with calculus to attain good grades. We can't recommend him highly enough !

    Dena Cimakosky Scalamandre Avatar Dena Cimakosky Scalamandre
    January 22, 2017

    positive review  I can't say enough good things about Mr. Groden! He has helped my son so much. My son fights working with tutors but Mr. Groden did an excellent job pairing with my son and making him feel comfortable with him. He really understands the areas that my son struggles with and helps him in those areas while at the same time giving my son positive feedback and encouraging him. It gives me peace of mind knowing that with Mr. Groden's help my son will do well and grow and learn and be successful in his math classes!

    Amy Cimino Bodnar Avatar Amy Cimino Bodnar
    January 25, 2019
  • positive review  It was like divine intervention when my son ASKED me (I know right??) if he could take a class leading up to honors Algebra 2 in the Fall. That same day I came across Matt’s summer offerings. Matt was the perfect teacher - engaging, passionate and fun - and my son really enjoyed taking his class (ENJOYED math in the summer? I know right?). THANK YOU MATT!! He’s ready 👍

    Sharon Bove Avatar Sharon Bove
    August 20, 2019

    5 star review  Mr. Groden's enthusiasm and energy for teaching math is unparalleled. My son attended Mr. Groden's AP calculus test prep course and looked forward to the sessions. He feels completely prepared for the AP test. Thank you!

    Leann Marseglia Collins Avatar Leann Marseglia Collins
    May 7, 2017
  • 5 star review  My son was struggling in Calculus. He lost all confidence and felt there was no way he could pass his class. With Matt's help my son started understanding his work and gained confidence. Matt made learning exciting and fun. We owe so much to Matt's amazing ability to do whatever it takes to help his students. There is no one better than Matt!

    Dayna Moldover Bergman Avatar Dayna Moldover Bergman
    January 27, 2017

    5 star review  My son took the SAT prep class. It was a great class with fantastic instruction strategies and top notch teachers who clearly know their stuff. They made the class fun and motivated my son to do the required out-of-class practice. His scores on the practice tests consistently improved. We would absolutely recommend this class!

    Andrea Evans Silverman Avatar Andrea Evans Silverman
    October 3, 2017
  • 5 star review  After class with Mr. Groden, I felt more than prepared for my exams. In class, we had covered every type of problem we could expect to see and received ample explanation of its solution. On the day of the test, I was calm knowing Mr. Groden had prepared me well for any problem that could be on the exam. In addition to giving me confidence going into one of the most difficult exams I had taken, Mr. Groden gave me a deeper appreciation and understanding of mathematics. He gave me the ability to visualize complex concepts more than any other teach I had and problem solving techniques that I continue to use. Beyond being ready for my exams, I was ready to understand more difficult math in high school and college.

    Marisa Borusiewicz Avatar Marisa Borusiewicz
    January 16, 2017

    5 star review  Mr. Groden was definitely the best tutor I've ever had. He makes learning easy and enjoyable and he never makes you feel dumb for asking questions. He's an amazing person and an even more amazing tutor. I would definitely recommend him for anyone struggling with math.

    Anabel Escogido Avatar Anabel Escogido
    January 30, 2017
  • positive review  Thank you for offering these summer courses. I think it is important to keep up the skills over the summer and not get summer brain. You also have a wonderful teaching style which i know my daughter appreciates.

    Toni Snedeker Scratchard Avatar Toni Snedeker Scratchard
    August 26, 2019

    5 star review  Matt is amazing! Both of my children see him weekly and they love when he comes to tutor. He is extremely knowledgeable and has a different perspective on teaching math the the kids really get excited about. I don't think I have met anyone more enthusiastic about math, ever. It's inspiring for the kids to work with someone that truly loves teaching math!

    Yvonne Klebe Foote Avatar Yvonne Klebe Foote
    June 12, 2017
» Ask a Question
  • This field is for validation purposes and should be left unchanged.
    Back to Top ↑

    © Matt Groden
    Contact
    Privacy Policy
    © 2022 Problem Solved Math
    Responsive II powered by WordPress
    ↑
    • Home
    • About
      ▼
      • About PSM
      • FAQs
    • Courses
      ▼
      • 6th Grade Math
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Whole Numbers & Decimals
        • Chapter 2: Representing Data In Different Ways
        • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
        • Chapter 4: Divisibility, Factoring Numbers, & Fractions
        • Chapter 5: Addition and Subtraction of Fractions
        • Chapter 6: Multiplication and Division of Fractions
        • Chapter 7: Ratios, Proportions, and Percents
        • Chapter 8: Fundamentals of Geometry
        • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
        • Chapter 10: Introduction to Probability
        • Chapter 11: Integers – Properties, Operations, & Equations
        • Chapter 12: Two-Step Equations and Inequalities
      • Pre-Algebra
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions & Operations with Integers
        • Chapter 2: One-Step Equations & Inequalities
        • Chapter 3: Operations and Equations With Decimals
        • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
        • Chapter 5: Fraction Operations & Solving Equations with Fractions
        • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
        • Chapter 7: Solving Equations and Inequalities
        • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
        • Chapter 9: Foundations of Geometry
        • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
        • Chapter 11: Right Triangles and An Introduction to Trigonometry
        • Chapter 12: Data Analysis: Techniques and Calculations
        • Chapter 13: Probability, Combinations, and Permutations
        • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
      • Algebra 1
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions and Operations with Real Numbers
        • Chapter 2: Solving Equations – From One-Step to Multi-Step
        • Chapter 3: Ratios, Proportions, & Percents
        • Chapter 4: Solving Inequalities
        • Chapter 5: Introduction to Graphs and Functions
        • Chapter 6: Linear Functions and Graphing Lines
        • Chapter 7: Systems of Linear Equations and Linear Inequalities
        • Chapter 8: Exponent Rules & Exponential Functions
        • Chapter 9: Polynomials
        • Chapter 10: Graphing and Solving Quadratic Equations
        • Chapter 11: Introduction to Rational Expressions
        • Chapter 12: Radicals and An Introduction to Trigonometry
        • Chapter 13: Data Analysis: Techniques and Calculations
        • Chapter 14: Probability, Combinations, and Permutations
      • Calculus 1 & 2 / AB / BC
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1 – Limits
        • Chapter 2 – Derivatives
        • Chapter 3 – Uses of the Derivative
        • Chapter 4 – Integration
        • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
        • Chapter 6 – Differential Equations and Exponential & Logistic Growth
        • Chapter 7 – Area, Volume, and Arc Length
        • Chapter 8 – Advanced Integration Techniques and Improper Integrals
        • Chapter 9 – Series and Tests for Convergence and Divergence
        • Chapter 10 – Taylor Polynomials and Power Series
        • Chapter 11 – The Calculus of Parametric and Polar Equations
    • Free Videos!
    • Pricing
    • Contact
    • Log In