Free Algebra 1 help through video tutorials and worked examples — inequalities, systems, polynomials, quadratics, radicals, and more.
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Algebra 1 Topics
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Inequalities
Inequalities are a fundamental part of Algebra 1, teaching students how to compare values and express relationships that aren’t always equal. You’ll learn to solve, graph, and interpret inequalities involving one or two variables. This concept forms the foundation for topics like systems of inequalities and real-world problem-solving scenarios. Mastering inequalities is key to making sense of constraints in finance, physics, and everyday decision-making.
Exponential Functions
Exponential functions are critical in Algebra 1 for modeling rapid growth or decay. These functions describe how quantities increase or decrease at a constant percentage rate, which is essential for topics in science, finance, and population studies. You’ll learn to identify, graph, and interpret exponential models.
Multiplying Polynomials
Multiplying polynomials is a vital skill in Algebra 1, as it lays the groundwork for factoring, simplifying expressions, and solving equations. You’ll practice multiplying binomials, trinomials, and larger polynomials using distributive properties, FOIL, and vertical multiplication methods.
Factoring Polynomials
Factoring breaks down polynomials into simpler expressions, making it easier to solve equations and simplify expressions. In Algebra 1, you’ll learn to factor out the greatest common factor, factor trinomials, and tackle difference of squares problems.
Quadratic Equations
Quadratic equations are everywhere in Algebra 1 — from projectile motion to business profit models. You’ll learn how to solve these equations by factoring, completing the square, and using the quadratic formula. Graphing quadratics and identifying key features like vertex and axis of symmetry are also essential skills.
Radicals
Radicals involve expressions with square roots or other roots, and Algebra 1 students learn how to simplify, add, subtract, multiply, and divide them. Mastering radicals is crucial for higher-level math topics and practical applications like geometry and engineering.
Rational Expressions
Rational expressions combine polynomials into fractions, and simplifying them is a key Algebra 1 skill. You’ll learn how to factor numerators and denominators, cancel out common factors, and solve rational equations. These techniques make more advanced topics like algebraic functions and calculus easier later on.
Data Analytics
Data analytics introduces Algebra 1 students to reading, interpreting, and analyzing data sets. You’ll learn how to calculate measures of central tendency (mean, median, mode) and spread (range, interquartile range, standard deviation). Graphing data with histograms, boxplots, and scatter plots prepares you for real-world applications in science and business.
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Systems of Equations
Systems of equations introduce the idea of finding where two or more equations meet at a common solution. In Algebra 1, you’ll explore methods like graphing, substitution, and elimination to solve these systems. These skills are essential for tackling more advanced math topics and practical applications like budgeting or physics problems.
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