# Linear equations and inequalities

Contents

We will now equate two algebraic expressions and think about how it might constrain what value the variables can take on. The algebraic manipulation you learn here really is the heart of algebra.

14 exercises available

Solve equations by adding/subtracting numbers from both sides, or by multiplying/dividing both sides by the same number.

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

Learn how to solve linear equations that have the variable on both sides of the equation. For example, solve 2x+5=6x-3. Also learn how to solve linear equations with expressions in parentheses. For example, 3(x-1)=9.

Learn how to solve (mathematical) inequalities. A key concept in this tutorial is flipping the inequality sign when multiplying or dividing both sides by a negative number.

Learn how to solve more complex (mathematical) inequalities. Also learn to construct inequalities to model real-world situations.

Solve any possible linear inequality in one variable. For example, solve -3x-7<x+9.

Learn how to write proportions and how to solve proportions.