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Making Algebra Easy: Algebra 1
Rating: 4.7 out of 5(28 ratings)
105 students

Making Algebra Easy: Algebra 1

A Complete Algebra 1 course aligned to the Common Core State Standards & the PA Keystone Exam Standards.
Created byMeghan Swanson
Last updated 6/2025
English

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!

Course content

16 sections104 lectures35h 24m total length
  • Chapter 1 Lesson 1: Meaning of Integers & Multiplication & Division w/ Integers23:17

    Welcome to our first lesson on the meaning of integers and integer arithmetic rules for multiplying and dividing integers.


    After you watch the video, try the questions in the practice quiz!

  • Quiz on Meaning of Integers & Multiplication / Division with Integers
  • Chapter 1 Lesson 2: Adding & Subtracting Integers and Integer Word Problems26:27

    Welcome to lesson 2! This is going to continue with the integer arithmetic you started in the last lesson.  This time we'll look at rules for adding and subtracting integers as well as look at word problems for integers.


    Remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After you finish watching the lesson, try the practice quiz!

  • Quiz on Adding & Subtracting Integers
  • Chapter 1 Lesson 3: Rational and Irrational Numbers27:10

    Welcome to lesson 3! Last lesson we talked about integers. This time we're looking at more categories of real numbers: rational & irrational numbers.


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After you watch the lesson, try the practice quiz!

  • Quiz on Rational & Irrational Numbers
  • Chapter 1 Lesson 4: Ordering Real Numbers17:16

    Welcome to lesson 4! We're going to be comparing and ordering real numbers by using their decimal form.


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After watching the lesson, try the practice quiz!

  • Quiz on Ordering Real Numbers
  • Chapter 1 Lesson 5: Order of Operations Part One24:56

    Welcome to lesson 5 on the order of operations.  In this lesson I highlight some of the sticking points that come up with order of operations in Algebra 1 problems - so you can try to avoid those common mistakes.


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After watching, try the practice quiz.  Make sure to write the problems out showing your work for each step and thinking about the order. 

  • Quiz on Order of Operations Part One
  • Chapter 1 Lesson 6: Order of Operations Part 216:29

    Welcome to lesson 6! We're going to continue on what we did in the previous lesson and get comfortable with applying GEMDAS to some longer problems.


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After you watch the lesson, try the quiz (making sure to write out each step)! 

  • Quiz on Order of Operations Part Two
  • Chapter 1 Lesson 7: Using Keywords to Translate Written to Variable Expressions21:46

    Welcome to lesson 7! We're going to take a look at some of the common keywords that will come up in Algebra 1 word problems and use them to translate from written expressions to Algebraic expressions.


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After reviewing the lesson, try the practice quiz to check your understanding!

  • Quiz on Using Keywords to Translate from Written to Algebraic Expressions
  • Chapter 1 Lesson 8: Using Context to Translate Written to Variable Expressions33:52

    Welcome to lesson 8! Last lesson we looked at how to translate variable expressions based on keywords. In this lesson, we are going to take that one step further to look at context (situational) clues that you will see in word problems. This is an important skill to develop for Algebra 1  since you will be seeing word problems across many topics of different types of equations, inequalities, and systems of equations.


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After watching the lesson try the practice quiz!

  • Quiz on Using Context to Translate from Written to Algebraic Expressions
  • Chapter 1 Lesson 9: Using Substitution Property18:11

    Welcome to lesson 9 on substitution! We will be taking a look at how to use substitution to evaluate an expression for a given value. This will combine some of the skills we learned in the last few lessons on using order of operations.


    Substitution is a skill that will keep coming up throughout Algebra 1 and beyond, so take your time and make sure you understand the concept. As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After watching the lesson take the practice quiz! 

  • Quiz on Using Substitution Property
  • Chapter 1 Lesson 10: Substitution Word Problems19:36

    Welcome to lesson 10 on substitution word problems! This will combine some of the skills we learned in the last few lessons using order of operations, and substitution, as well as translating variable expressions.


    Substitution is a skill that will keep coming up throughout Algebra 1 and beyond, so take your time and make sure you understand the concept. As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    When you are finished, try the practice quiz to test your understanding! 

  • Quiz on Substitution Word Problems
  • Chapter 1 Lesson 11: Combining Like Terms24:39

    Welcome to lesson 11 on Combining Like Terms! Combining like terms is important to have down because it will come up within larger problems for expressions and equations throughout Algebra 1.


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    Like always, there is a practice quiz and answer key for you to take after watching the lesson.

  • Quiz on Combining Like Terms
  • Chapter 1 Lesson 12: Distributive Property21:50

    Welcome to lesson 12 on Distributive Property! Take your time as you go through because distributive property will come up throughout Algebra 1. The biggest thing to keep in mind here is the rules for multiplying with positive and negative integers!


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    After watching the lesson, try the practice quiz! 

  • Quiz on Distributive Property
  • Chapter 1 Lesson 13: Simplifying Algebraic Expressions27:49

    Welcome to lesson 13 on Simplifying Algebraic Expressions! This lesson is going to combine many of the skills we have already reviewed including integer arithmetic, order of operations, combining like terms, and using the distributive property.


    As with all lessons, remember you can pause & rewind the video as needed to take your notes and make sure you understand everything. So take advantage of the online learning format to learn at YOUR pace.


    When you finish watching the lesson, take the practice quiz.  Really take your time to show your work going step by step since these are longer problems. 

  • Quiz on Simplifying Algebraic Expressions
  • Chapter 1 Lesson 14: Properties of Algebra31:48

    This lesson reviews the properties of Algebra.  We have already used some of these properties in previous lessons, but now we are putting the Algebra vocabulary to what you have done. 

  • Quiz on Properties of Algebra

Requirements

  • Already have taken Pre-Algebra.

Description

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.