Solving equations & inequalities

This course is a part of Mathematics I, a 16-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. Learn how to solve linear inequalities with a single variable. For example, solve -3(x+1)>2x-7. Learn how to solve compound inequalities. For example, solve 2x+1>3 AND -x-5<4.

This course contains 6 segments:

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 with unknown coefficients

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

Multi-step inequalities

Solve any possible linear inequality in one variable. For example, solve -3x-7

Compound inequalities

Learn how to solve compound inequalities. For example, solve 2x+1>3 AND -x-5<4.