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!
  • Contact
  • Log In
Home › Courses › Algebra 1 › Archive for Chapter 2: Solving Equations – From One-Step to Multi-Step
» Ask a Question
  • This field is for validation purposes and should be left unchanged.

Chapter 2: Solving Equations – From One-Step to Multi-Step

This chapter explores how to solve equations and why the solution processes make sense in great depth. You will first learn how to solve one-step equations involving all four operations and all types of real numbers – integers, fractions, and decimals. With this solid foundation you will then master solving two-step and multi-step equations, all the while translating and crushing word problems involving these equation types. The chapter rounds out with a thorough exploration of solving equations with variables on both sides of the equal sign and a world tour of solving literal equations (equations involving many different variables!). Time to rock these fundamentals of Algebra!!

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

Lesson 1 – The ‘Why’ Behind Solving 1-Step Equations

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step

Lesson 2 – Solving 1-Step Equations Involving Integers

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step

Lesson 3 – Solving 1-Step Equations Involving Decimals and Fractions

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step

Lesson 4 – 1-Step Equation Word Problems

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step

Lesson 5 – Solving 2-Step Equations

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step

Lesson 6 – Solving Multi-Step Equations

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step

Lesson 7 – Solving Multi-Step Equations with Fractions and Decimals

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step

Lesson 8 – Solving Equations with Variables on Both Sides

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step

Lesson 9 – Solving Literal Equations

Posted on July 26, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 2: Solving Equations - From One-Step to Multi-Step
  • Because he was in this class, my son spent more time doing SAT practice tests this summer than he otherwise would have. I didn't have to "nag" him to do practice tests...so, I appreciate that! He ended up knowing alot of the kids in the class, so he enjoyed it. It was also nice to do this in the summer when his schedule was less-busy. The teachers are high energy, well-respected and admired by the kids.

    Ann-Marie Delworth Avatar Ann-Marie Delworth
    September 7, 2017

    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
  • 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

    I was lucky enough to have Mr. Groden as my teacher for two classes throughout high school. In school, math was never my strong suite but Mr. Groden was able to use real life examples that pertained to myself that helped me with understanding the math. After a couple of years, I started attending Rider University where I studied Business. I hadn't been in a math class in years so when I found out that I had to take Quantitative Methods for Business, I knew that I was in trouble. After receiving my first test and seeing that I received a low C, I reached out to Mr. Groden to see if he were doing any tutoring and surly enough he was. Mr. Groden met with me once a week and again was able to use real life examples that pertained to myself and I was able to understand the math. I ended the semester receiving an A in the class, and I know 100% I would not have reached that without Mr. Grodens help. Thank you!

    Bobby Antinoro Avatar Bobby Antinoro
    February 2, 2017
  • I cannot say enough about Matt Groden. My son attended his AP Calc review course last summer. Mr. Goden's enthusiam for math was infectious to my son. He completed the course and had such a renewed excitement for math that I had not seen in quite a while. My son always loved math, but that love slightly diminished over the past two years. My son was now genuinly excited to start math class in September. As a bonus, currently he not only loves his course but he is doing great! Thank you Mr. Groden! You willingness to always go the extra mile and the kindness you exhibit towards your students is priceless.

    Miriam Friedman Aronson Avatar Miriam Friedman Aronson
    January 15, 2017

    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
  • When multiple people from all different parts of your life compliment a teacher you have to think--how can this be? Is he for real? Is he really THAT good? So I was a little skeptical. NOT ANYMORE! Mr. Groden is the REAL DEAL! He truly loves teaching and he loves kids but most of all he loves to see kids succeed. And that's what he does. He makes kids perform better and reach their full potential. I highly recommend Matt's courses. My son just finished his SAT class and thoroughly enjoyed it (yes, he enjoyed a class---over the summer!) So what are you waiting for?? Sign your student up with Matt ASAP! Do not pass GO and do not COLLECT $200! This is real life people and Matt is the real deal!

    Sandy Glickman Borowsky Avatar Sandy Glickman Borowsky
    August 10, 2017

    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
  • Matt has helped my son immensely in preparing both for the SATs and the AP Calculus BC exam. He has a way of explaining and teaching math that kept my son excited and energized to learn more. My son did extremely well on his SATs and was strong in Calculus, all thanks to Matt and his care for his students. If you are need for math help for your child, look no further!

    Susan Heller Steiner Avatar Susan Heller Steiner
    May 17, 2019

    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
  • 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

    Matt Groden is by far the best math instructor around!!! He has a passion for math and it shows through his ability to break down any math problem, no matter how complicated, into a simple form the student can understand. He is kind, easy going and most importantly, he truly cares about his students.

    Tina Mohsen Avatar Tina Mohsen
    February 7, 2017
  • Mr Groden has the ability to make calculus (and math in general) fun, meaningful, relevant, etc. and to relate complex concepts in a way that not only makes sense, but also gives the students the ability to re-apply the concepts later on. Our son had Mr. Groden as his calculus teacher in high school, and our daughter has now used Mr. Groden's services for both SAT prep and AB Calculus weekly review. Both have been excellent and more than worth the money spent.

    Dara Bortman Avatar Dara Bortman
    February 5, 2018

    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
  • 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

    positive review  I had Matt Groden for AP Calculus and I have to say, he was and probably will be the greatest teacher I ever had. Not only was he exceptional in terms of his teaching ability and breadth of knowledge, but it is his care for learning was what made him unique. This was the first teacher in a long time that I can remember who valued learning and discovery over just memorizing and ‘teaching to the test’. His ability to make students excited to learn new math material is what makes Matt so perfectly suited for this. Anyone with the chance to learn math with him should most definitely take this opportunity - you will not be disappointed!!

    Benjamin Aronson Avatar Benjamin Aronson
    March 4, 2019
  • My daughter took Matt's pre AP Calc summer class. Was a little "bummed" about a summer course ... that is until the first class! Ended up LOVING the course and enthusiastcly attending every week! Thank you Matt!

    Dalete Geller Avatar Dalete Geller
    August 15, 2017

    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
  • 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

    My daughter Sophia is so happy to attend her math classes with Mr. Groden. She has an A in her math class.

    Lisa Liberty Avatar Lisa Liberty
    December 27, 2017
» Ask a Question
  • This field is for validation purposes and should be left unchanged.
    Back to Top ↑

    © Matt Groden
    Contact
    Privacy Policy
    © 2023 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!
    • Contact
    • Log In