Solving equations

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This course is a part of Algebra I, a 21-course Topic series from Khan Academy.

Learn how to solve linear equations that contain a single variable. For example, solve 2(x+3)=(4x-1)/2+7.

This course contains 11 segments:

Algebraic equations basics

Explore what it means for equations with variables (algebraic equations) to be solved.

Why we do the same thing to both sides of an equation

A high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it

One-step addition & subtraction equations

Solve equations by adding and subtracting numbers from both sides.

One-step multiplication & division equations

Solve equations by multiplying and dividing numbers from both sides.

Two-steps equations intro

Learn how to solve equations like 2x+7=13 and 3(x+4)=3, which can be solved in two steps.

Two-step equation word problems

Learn how to set up and solve equations to find answers to real-world questions.

Linear equations with variables on both sides

Learn how to solve linear equations that have the variable on both sides of the equation. For example, solve 2x+5=6x-3.

Linear equations with parentheses

Learn how to solve linear equations with parentheses using the distributive property. For example, solve -9 - (9x - 6) = 3(4x + 6).

Analyzing the number of solutions to linear equations

Linear equations can either have a single solution, infinite solutions, or no solutions. Learn how to determine the number of solutions to a given equation, and how to create equations with a desired number of solutions.

Linear equations word problems

Solve word problems by creating linear equations and solving them.

Linear equations with unknown coefficients

An equation like ax+3x=bx+5 can still be solved for x even though some of the coefficients are variables.