Comprehensive Algebra 1 Review: Fractions, Exponents, and Equations

The Organic Chemistry Tutor

This comprehensive video provides a fast-paced yet thorough review of essential Algebra 1 concepts, designed specifically for students returning to school or preparing for an exam. The tutorial begins by revisiting fundamental arithmetic operations with fractions—adding, subtracting, multiplying, and dividing—which are crucial prerequisites for algebraic success. It then transitions into the laws of exponents, clarifying how to handle multiplication, division, power rules, and negative exponents with visual demonstrations of why these rules work. The content progresses into algebraic expressions and equations, covering how to multiply polynomials (including the FOIL method and distributing over trinomials) and solving linear equations ranging from simple one-step problems to complex multi-step equations involving fractions and decimals. The video concludes with a section on solving and graphing linear inequalities, including the rules for interval notation and sign-flipping. By breaking down each topic with clear examples and step-by-step solutions, this resource serves as an excellent refresher for foundational algebra skills. Teachers can utilize this video as a modular review tool, assigning specific segments to target student learning gaps. For example, the segment on clearing fractions in equations is particularly valuable for students who struggle with rational coefficients. The visual layout of multiplying polynomials allows for easy comparison with classroom methods like the box method. Whether used for whole-class review, flipped classroom homework, or individualized remediation, this video offers clear, procedural explanations for the core mechanics of algebra.