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 4: Solving Inequalities
» Ask a Question
  • This field is for validation purposes and should be left unchanged.

Chapter 4: Solving Inequalities

This chapter starts with a review of what inequalities are and how to graph them on number lines before taking you through how to solve one-step inequalities with all four operations, including learning when to (and why to) switch the direction of the inequality signs. From here you will learn how to solve two-step and multi-step inequalities by treating them like they are in their are equations. Then, it is off to a very cool and deep study of compound inequalities and interval notation! The chapter comes to completion with your mastery of absolute value equations and inequalities. Word problems, as always, will be taught throughout the lessons. Let’s go be greater than these inequalities!!!

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

Lesson 1 – Introduction to Inequalities

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 2 – Solving One-Step Inequalities with Addition & Subtraction

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 3 – Solving One-Step Inequalities with Multiplication & Division

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 4 – Solving Two-Step Inequalities

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 5 – Solving Multi-Step Inequalities

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 6 – Compound Inequalities

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 7 – Compound Inequality Word Problems

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 8 – Interval Notation

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 9 – Absolute Value Equations

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities

Lesson 10 – Absolute Value Inequalities

Posted on July 29, 2019 by PSM-MattG
This content is for members only.
Log In Register
Posted in Chapter 4: Solving Inequalities
  • Mr. Groden is an outstanding math teacher. He is very patient, always positive and has an excellent reputation. He currently tutors my 8th grader. We would highly recommend him!! He is the best!

    Debra Currie Venkatesulu Avatar Debra Currie Venkatesulu
    July 8, 2018

    positive review  Love. :) My daughter took Matt’s AP Calc prep class, and my son watched the algebra prep videos. Both loved, especially my daughter who now wants to sign up for every class Matt offers. Thank you for approaching teaching in such a fun and engaging way!! So highly recommend. :)

    Erica Desrosiers Avatar Erica Desrosiers
    August 16, 2019
  • 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

    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
  • Thanks to Matt and Anthony for a comprehensive and enjoyable SAT Prep program for our daughter. We'll be back with our younger daughter when the time comes!

    Heidi Heckathorne Adams Avatar Heidi Heckathorne Adams
    November 2, 2017

    My son had Mr. Groden as a teacher at PHS and my daughter attending Summer AP Calc Prep. Matt does the unthinkable, he makes Calc fun for his students and they are not afraid to make mistakes or ask for help. My daughter feels more confident having attended "math camp". Thank you!

    Tamie Palatine Avatar Tamie Palatine
    August 13, 2017
  • positive review  My youngest son took the Algebra 1 course to keep up his skills during summer and loved it. My oldest son had Matt for AP Calculus a few years ago and loved it. Matt Groden is a fun, patient, pleasant, very effective teacher who shows your child how to understand and love math, not dread it!

    Kathleen Ponento Avatar Kathleen Ponento
    September 3, 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
  • 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

    positive review  Mr. Groden is an energetic, dynamic teacher who truly cares about his students. He uses real-world examples and innovative teaching practices to help his students learn the concepts and to develop a passion about mathematics.

    Megan Swope Avatar Megan Swope
    August 17, 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

    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
  • 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

    Mr. Groden is a great teacher. His sense of humor keeps students engaged; and his use of real world examples brings relevance to difficult math concepts.

    Mimi Lombardo Miller Avatar Mimi Lombardo Miller
    August 15, 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

    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
  • 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

    We found Mr. Groden on a community Facebook page and it was a wonderful experience for my son. He is extremely patient and very knowledgeable. I would highly recommend him to any student looking for help.

    Lisa Rogers Avatar Lisa Rogers
    August 26, 2017
  • 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

    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
» 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