Solving Two-Step Equations with Fractions and Variables

🔑Isolate the variable by performing opposite operations, such as addition or subtraction, to move numbers to the other side of the equation.

🧮Use the distributive property to remove parentheses and simplify equations.

🚀Combine like terms and perform operations to simplify the equation before solving for the variable.

🔢Multiply or divide both sides of the equation by a common denominator to eliminate fractions.

🧩Check your solution by substituting the value of the variable back into the original equation.

What is the first step in solving a two-step equation with fractions?

—The first step is to simplify the equation by removing any parentheses and combining like terms, if applicable.

How do you eliminate fractions in an equation?

—To eliminate fractions, multiply both sides of the equation by a common denominator of all the fractions involved.

What should you do after solving an equation?

—After solving an equation, always check your solution by substituting the value of the variable back into the original equation.

Can you solve two-step equations with decimals?

—Yes, you can solve two-step equations with decimals by following similar steps as solving equations with fractions or variables.

Are there any shortcuts or tricks for solving two-step equations?

—There are no shortcuts or tricks, but practice and familiarity with the process will make solving two-step equations easier and quicker over time.

00:01Introduction to solving two-step equations with fractions and variables.

02:56Explanation of the first step in solving two-step equations: simplifying by removing parentheses and combining like terms.

05:47Demonstration of how to eliminate fractions by multiplying both sides of the equation by a common denominator.

09:18Step-by-step guide on isolating the variable and performing operations to solve for its value.

12:31Importance of checking the solution by substituting the value back into the original equation.

14:47Answering frequently asked questions related to solving two-step equations with fractions and variables.