Mastering Algebra Word Problems: From Sentences to Solutions

The Organic Chemistry Tutor

This comprehensive algebra tutorial guides students through the process of translating English sentences into mathematical equations to solve word problems. The video systematically progresses from basic linear equations to more complex problems involving quadratics, systems of equations, reciprocals, and square roots. It explicitly addresses common student stumbling blocks, such as the specific ordering required for phrases like "less than" and the necessity of checking for extraneous solutions in radical equations. The content covers a wide range of algebraic concepts including defining variables, setting up linear and quadratic equations, factoring trinomials (both with and without leading coefficients greater than one), solving systems via substitution and elimination, and clearing denominators in rational equations. The narrator uses a clear, step-by-step whiteboard style to demonstrate the logic behind each translation and solution method. This video is highly valuable for bridging the gap between literacy and mathematics, a skill often required in standardized testing and higher-level math courses. Teachers can use this resource to scaffold learning, starting with vocabulary acquisition (translating phrases) and moving toward higher-order problem solving. The segments exploring "extraneous solutions" and "reciprocals" provide excellent opportunities for deeper discussions about the domain and validity of algebraic solutions.