Equations & inequalities introduction
13 videos
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Pre-algebra - Equations & Inequalities: What You Need to Know
Learn the basics of equations and inequalities using real-world examples. Discover how variables, expressions, and number lines help solve everyday math problems.
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Pre-algebra - Variables, Expressions, and Equations Explained
Learn the difference between variables, expressions, and equations using a pizza-sharing example. Understand that expressions lack equals signs while equations have them.
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Pre-algebra - Testing Solutions: Does This Value Work?
Learn how to verify if a value is a solution to an equation by substituting it in and checking if both sides match. Demonstrates testing x=4 and x=5 in 3x+2=14.
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Pre-algebra - The Balance Principle: Why We Do the Same Thing to Both Sides
Learn the balance principle: whatever you do to one side of an equation, you must do to the other. Solve x + 5 = 12 by applying operations equally to both sides.
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Pre-algebra - Solving One-Step Addition & Subtraction Equations
Learn to solve one-step equations using addition and subtraction. Discover how to isolate variables by applying opposite operations to both sides of an equation.
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Pre-algebra - Solving One-Step Multiplication & Division Equations
Learn to solve one-step equations using multiplication and division. Understand how to isolate variables by performing opposite operations on both sides of an equation.
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Pre-algebra - One-Step Equations with Fractions & Decimals
Learn to solve one-step equations with fractions and decimals by using inverse operations to isolate the variable. Includes pizza problem examples and number line visualization.
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Pre-algebra - Spotting Mistakes in Equations
Learn how to identify and avoid common mistakes when solving equations, including unequal operations, arithmetic errors, and wrong operation directions.
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Pre-algebra - Turning Word Problems into Equations
Learn how to solve word problems by identifying unknowns, assigning variables, and creating equations. Includes a step-by-step example with Jake's hourly earnings.
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Pre-algebra - Introduction to Inequalities
Learn what inequalities are, the four inequality symbols, how to test solutions, and how to graph them on a number line with open or filled circles.
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Pre-algebra - Inequalities in the Real World
Learn how to translate words like "at least" and "no more than" into inequality symbols, and how to graph them on a number line using filled dots and open circles.
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Pre-algebra - Dependent & Independent Variables
Learn the difference between dependent and independent variables using a streaming data example. Understand how to identify, graph, and use these variables in equations.
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Pre-algebra - Writing Equations for Two-Variable Relationships
Learn how to create two-variable equations using a bracelet sales example. Discover how to identify independent and dependent variables and visualize relationships on a graph.