In this lesson you will learn how to solve one step and multi step linear equations.
For example, x – 3 = 10 or 2h + 1 = – 9.
The lesson demonstrates how to solve linear equations with brackets.
For example, 2(x – 1) = 16.
Such equations are solved using inverse operations and reverse BEDMAS. The first step is always expanding the expression with brackets using the distributive multiplication property.
You will also discover the Pythagorean Theorem.
Want to see how the Pythagorean Theorem was invented?
Check out the 7 Cool Math Proofs blog post.
You will learn when and why to use it, how to set it up and solve the equation.
The challenge of using a Pythagorean Theorem is that it involves squares (multiplying the number by itself) and it is important to follow the BEDMAS and equation solving algorithm carefully in order to avoid mistakes. For example, the quantities should always be squared first, then added.