Sophia: Solving an Equation by Multiplying by One: Lesson 1

The power to solve exponential equations lies in the resource. Scholars first learn how to solve exponential equations. An activity matching cards with equations, intermediate steps, and solutions strengthens this skill.

Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...

One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...

A new SAT practice session (from page 669 of The Official SAT Study Guide) begins with problems 1-5. Sal demonstrates quick thinking and contemplative problem solving as he moves efficiently from one equation to the next.

There are very specific ways to multiply binomials. One could use the FOIL method or employ the distributive property. Sal walks through each step of the FOIL method and then shows that using distribution results in the same answer. This...

This inequality word problem would make a good warm-up activity for a class studying single-variable inequalities. This video creates and solves an inequality based on a short-word problem about unit cost.

Sal illustrates more involved equations in this last video in a series. It follows "Simple Equations" and "Equations 2". He continues using color-coded markings to help increase students' understanding of a more complicated equation:...

This video focuses on rational expressions and completes Sal's lecture series on working with and solving this particular type of equation. Its length would be ideal for a computer lab visit or homework assignment (in conjunction with a...

Define a system of equations with only one solution? Sure! If you have a system of equations with only one solution you'll find that it results in an ordered pair (2,2). This means that those equations intersect at only one point.

A thorough and professional appearance characterizes a lesson plan on linear equations. Maturing mathematicians are taught to identify and exemplify linear equations with a single variable. They also classify equations according to the...