Algebra 1: Free Course

About this course

Strengthen algebraic reasoning with this free Algebra 1 video course from Khan Academy. The classroom retains every one of the 421 source entries, including explanations, worked examples, applications and the supplementary creativity recordings. The material covers expressions, equations, inequalities, functions, graphs, systems, exponents, polynomials and quadratic reasoning. Use the lesson list as a detailed reference while building the ability to translate a problem into mathematics and justify a solution.

Course at a glance

What you’ll learn

• Evaluate and transform algebraic expressions while preserving equivalence.
• Solve equations and inequalities and check proposed solutions.
• Connect linear relationships with tables, graphs, slope and rates of change.
• Interpret functions, domains, systems and mathematical models.
• Explore exponent rules, polynomial manipulation and quadratic equations.

Skills you’ll gain

• Algebraic reasoning
• Equation solving
• Function analysis
• Graph interpretation
• Polynomial operations
• Modeling

Course Overview

This is the complete published high-school Algebra I video collection. It combines conceptual explanations with a large set of demonstrations and applications, giving the learner several ways to approach a difficult relationship. The source includes early algebra foundations, linear and nonlinear reasoning, function interpretation, equation systems and later polynomial and quadratic material. Every entry is retained even when a recording is also used in another mathematics course. The source sequence is preserved, and the searchable lesson list helps locate a prerequisite or a specific example before returning to the current study task.

How to study the course

• Videos 1–105: this part of the source list includes “How to estimate the average rate of change of a modeling function from a graph” through “How to evaluate expressions in two variables with decimals and fractions”. State the quantities and conditions before calculating. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 106–210: this part of the source list includes “Absolute value equations 1” through “Independent and dependent systems”. Keep equivalent expressions or representations connected. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 211–315: this part of the source list includes “Slope from two ordered pairs example 1” through “Difference between equations and functions”. Check each operation with a small example before extending it. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 316–421: this part of the source list includes “Recursive formulas for arithmetic sequences” through “Creativity break: How can we combine ways of thinking in problem solving?”. Explain a result in words as well as symbols. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.

Who is this for?

This course suits students, returning learners and anyone strengthening the specific mathematics named in the course. It also provides a recorded reference for revisiting a topic after an earlier lesson or study attempt. Choose examples appropriate to your background and allow time to work through the method instead of judging understanding only by how familiar the terminology sounds.

Before you start

Comfort with the preceding arithmetic or algebra skills is useful. Keep paper, a pencil and a calculator when a lesson uses one. Grade-specific courses assume the learner’s earlier grade-level knowledge.

Put the lessons into practice

Build a short problem set with an expression to simplify, an equation to solve, a graph to interpret and a relationship to model. Show intermediate steps and explain why each transformation is valid. Check an equation by substitution and connect a graph with its quantities and units. Then vary one condition, such as a starting value, coefficient or constraint, and compare the two cases. Add a polynomial or quadratic example when you reach that material. Finish by describing a mistake you corrected and the check that revealed it.

This optional study activity is provided by WikiFree for independent practice. Keep your working notes and use the relevant classroom recording to check a step, definition or interpretation. It is not an instructor-marked assignment.

Certificate / Assessment

Watching the public videos and using WikiFree completion tracking does not award a certificate, academic credit, an examination voucher or instructor assessment. Use your practice output to review what you can explain and repeat independently. The recorded lessons provide study material; completion tracking records your progress through that material.

Frequently asked questions

Provider: Khan Academy. Videos play from the Khan Academy channel on YouTube.