
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!
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!
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!
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!
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.
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)!
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!
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!
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!
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!
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.
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!
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.
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.
Explore graphing the solution set of inequalities on the number line and writing inequalities from graphs, with emphasis on variable-first form, shading directions, and open versus closed circles.
Learn to solve one-step equations using inverse operations and the equality properties to isolate the variable, with examples like y+8=28 and x/8=4.
Learn to interpret expressions and equations by translating context into algebra and identifying what each term represents, from hourly costs to delivery fees and coefficients.
Solve multi-step inequalities and graph the solution on the number line, keep the variable on the left, flip the symbol when dividing by negatives, and use open or closed circles.
Explore solving multi-step equations and determine the number of solutions—one, no, or infinitely many—through linear examples and case analyses where variables cancel.
Distinguish and versus or in compound inequalities, and graph their solution sets on a number line. Explore real-world examples like paddle board pressure and abnormal heart rates.
Solve and graph compound inequalities on the number line, using and/or connections to determine the solution set with step-by-step examples.
Learn to solve absolute value inequalities by isolating the absolute value, splitting into two cases, and graphing the solution on a number line, including compound inequalities with and or.
Learn to compute slope using the formula y2 minus y1 over x2 minus x1, linking rise over run to rate of change and applying it to points, graphs, and tables.
Use the substitution property to solve linear equations, model costs with C = 25n + 300, and convert word problems into tables and graphs.
Explore linear equations by combining slope and intercept concepts to form slope-intercept form and standard form, and decide which form fits a word problem by interpreting rate and starting amount.
graph a line from slope-intercept form by identifying the slope and y-intercept, then plot using rise-over-run, with tips for missing values and fractions.
Learn to write and graph equations in slope-intercept form from word problems, using the rate and y-intercept. See examples on saving, pizza, and a commission.
Master writing standard-form equations from word problems and plotting x- and y-intercepts to reveal all possible combinations; apply to car wash, bake sale, and tests.
Learn to identify whether a word problem fits slope-intercept or standard form, write corresponding equations, and use substitution to find solution pairs.
Explore problem solving with the equation of a line by building and solving word problems in slope intercept form, identifying the initial fee and per mile rate from real scenarios.
Learn to multiply exponent expressions by adding exponents with the same base, using the rule x^a times x^b equals x^(a+b).
Apply the power to power rule by multiplying exponents when raising a power, keeping the base the same; review addition and subtraction of exponents for like bases.
Apply all four exponent rules to simplify exponential expressions, including multiplying with the same base, dividing, the power to power rule, and the negative exponent rule.
Apply simplifying radical expressions to simple radical form by prime factorization and extracting perfect square factors, then solve for x to match radicals and determine when further simplification is possible.
Learn to simplify polynomial expressions by combining like terms and distributing, then name by degree and term count (monomial, binomial, trinomial, polynomial) for algebra fluency.
Explore writing and simplifying polynomial expressions to model the area and perimeter of rectangles, applying distributive property, exponent rules, and unit considerations.
Factor the numerator and denominator of a rational expression, then cancel common factors to simplify. Learn that a rational expression is a fraction with polynomials on top and bottom.
Master simplifying rational expressions by factoring and identifying values that make the denominator zero. Restrict before canceling to ensure the simplified form matches the original for all x.
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!