Making Algebra Easy: Algebra 1

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Last updated on March 12, 2025 5:52 am

Learn Algebra 1 with this comprehensive course aligned to Common Core and Pennsylvania Keystone Exam standards. Improve your understanding of expressions, equations, inequalities, graphing, systems, exponents, roots, factoring, probability, and more. Suitable for homeschooling, current students seeking additional help, adults needing to re-learn, and those preparing for exams.

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What you’ll learn

  • This is a full year Algebra 1 course aligned to the Common Core State Standards as well as the Pennsylvania Keystone Exam
  • Topics: Expressions, Equations & Inequalities, Graphing, Systems, Exponents & Roots, Factoring, Probability, Measures of Central Tendency & Basics of Statistics
  • Students will be able to simplifying algebraic and numeric expressions as well as solve equations and inequalities and systems of equations and inequalities.
  • Students will be able to understand the algebraic properties and apply them to simplifying Algebraic expressions & solving Algebraic equations.
  • Students will develop an understanding of the language of Algebra and the tools that Algebra provides for solving various situations in word problems.
  • Building a strong foundation in Algebra is essential to doing well in all subsequent high school and college math courses!

This is a complete Algebra 1 course.  It’s aligned to the Common Core State Standards, so it is appropriate for students in any Common Core state.  It is also specifically aligned to the Pennsylvania Keystone Exam Standards (and has open-ended response items to help prepare for that as well).  While these are helpful ways to practice with showing thought process for any student, it is particularly useful for PA students to get used to the open-ended formats and types of questions seen on the Keystone Exam.

Use this course to learn, re-learn, or improve Algebra skills.  It’s meant to Make Algebra Easy!  Or at least easier.

Each topic includes a video lesson & practice “quiz” with answer explanations.

The idea is for you to start by watching the lesson.  Then try the practice quiz to test your understanding.  Then visit the annotated answer key to see the detailed work for any questions that you were not sure about. 

Topics included: 

  • Meaning of Integers & Multiplication/Division with Integers

  • Adding & Subtracting Integers & Integer Word Problems

  • Rational & Irrational Numbers

  • Ordering Real Numbers

  • Order of Operations Part 1

  • Order of Operations Part 2

  • Translating Variable Expressions Using Keywords

  • Translating Variable Expressions Using Context

  • Substitution

  • Substitution Word Problems

  • Combining Like Terms

  • Distributive Property

  • Simplify Algebraic Expressions

  • Properties of Algebra

  • Basics of Inequalities

  • Solving One-Step Equations

  • One-Step Equation Word Problems

  • Solving One-Step Inequalities

  • One-Step Inequality Word Problems

  • Solving Two-Step Equations

  • Two-Step Equation Word Problems

  • Interpreting Components of Expressions and Equations

  • Solving Two-Step Inequalities Two-Step Inequality Word Problems

  • Solving Multi-step Equations

  • Applications for Multi-step Equations

  • Solving Multi-step Inequalities

  • Determining the Number of Solutions to an Equation

  • Compound Inequalities Part 1: Basics & Graphing

  • Compound Inequalities Part 2: Writing the Inequality from the Graph

  • Compound Inequalities Part 3: Solving

  • Absolute Value Equations

  • Absolute Value Inequalities Part 1

  • Absolute Value Inequalities Part 2

  • Solving Literal Equations

  • Basics of the Coordinate Plane

  • Graphs with Context

  • Analyzing Trends in Graphs

  • Types of Slope & Slope from a Graph (rise over run)

  • Slope Formula

  • Problem Solving with Slope

  • Extra Challenge Problem Video: Problem solving with slope

  • Using Substitution with Linear Equations

  • Meaning of Intercepts

  • Linear Word Problems Practice

  • Graphing Lines in Slope-Intercept Form Part 1

  • Graphing Lines Part 2: Include Horizontal & Vertical Lines

  • Word Problems in Slope- Intercept Form

  • Linear Word Problems in Standard Form

  • Comparing Slope-Intercept and Standard Forms

  • Going from Standard to Slope-Intercept Form

  • Equation of a line in Point-Slope Form Part 1

  • Part 2: Going from Point Slope to Slope-Intercept Form

  • Part 3: Writing the equation in Slope-Intercept Form from 2 Points

  • Writing the Equation of a Line from a Graph

  • Writing the Equation of a Line from a Table

  • Problem Solving with the Equation of a Line

  • Rules for Multiplying with Exponents

  • Rules for Dividing with Exponents

  • Power to Power Rule

  • Negative Exponents

  • Practice with All Exponent Rules

  • Simplify Radicals Part 1

  • Simplify Radicals Part 2

  • Simplifying and Naming Polynomials

  • Multiplying Polynomials

  • Area & Perimeter with Polynomials

  • Factoring Trinomials Part 1

  • Factoring Trinomials Part 2

  • Factoring Difference of Two Squares

  • PatternFactoring with GCF

  • Review of Factoring – All Methods

  • Simplifying Rational Expressions Part 1

  • Simplifying Rational Expressions Part 2

  • Systems of Equations: Meaning and Number of Solutions

  • Solve Systems by Graphing

  • Solve by Linear Combination Part 1

  • Solve by Linear Combination Part 2

  • Solve by Linear Combination Part 3 Using LCM

  • Solve by Substitution Part 1

  • Solve by Substitution Part 2

  • Solving Systems: Review & Practice with All Methods

  • Intro to Systems of Equation Word Problems (MC)

  • Solving Word Problems with Systems of Equations Part 1

  • Solving Word Problems with Systems of Equations Part 2

  • Graphing Linear Inequalities

  • Graphing Systems of Linear Inequalities

  • Writing Linear Inequalities and Systems of Linear Inequalities

  • Meaning of Solutions to Systems of Linear Inequalities

  • Functions and the Vertical Line Test

  • Functions: Ordered Pairs & Tables

  • Domain & Range Part 1

  • Domain & Range Part 2

  • Piecewise Functions

  • Basics of Scatterplots and Types of Correlations

  • Scatterplots and Line of Best Fit

  • Measures of Central Tendency Part 1

  • Measures of Central Tendency Part 2

  • Bar Charts & Pie Graphs

  • Box and Whisker Plots Part 1

  • Box and Whisker Plots Part 2

  • Box and Whisker Plots Part 3

  • Basics of Probability

  • Probability: Independent & Dependent Events

  • Additional Review materials:

  • 24 Open-ended Response Practice Assignments.  (Each one is a multi-part.  Each one has an annotated answer key that you can review to check your work when you are finished.)

  • 8 Chapter Review Quizzes (One at the end of each chapter to provide mixed practice of all topics.)

Pennsylvania students: Our Algebra 1 courses are aligned to the PA Keystone Exam as well as the Common Core State Standards. We’ll also be adding an Algebra 1 Keystone Exam review course soon!

Who this course is for:

  • Home-schooling Algebra 1 students.
  • Current Algebra 1 students that would like additional help with topics.
  • Current Algebra 1 students that would like to be able to work ahead and learn topics at their own pace.
  • Adult students that need to re-learn Algebra.
  • Students preparing for the Pennsylvania Algebra 1 Keystone Exam or other exams that need to review Algebra 1 concepts.

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    Making Algebra Easy: Algebra 1
    Making Algebra Easy: Algebra 1
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