Mastering Linear Equations: Variables, Brackets, and Fractions

• Mathematics
• Secondary Education
• Age 13

Mastering Linear Equations: Variables, Brackets, and Fractions

Learning Objective

At the end of the lesson, you will be able to solve linear equations with variables on both sides, including those with brackets and fractions.

What do you already know about solving equations with variables on both sides?

Review: Basics of Linear Equations

Linear equations involve expressions with equal signs. Each expression can include variables, constants, and operators.

Step 1: Simplifying Brackets

Use distributive property to remove brackets: a(b + c) = ab + ac. Simplify both sides if needed.

Step 2: Clearing Fractions

Multiply every term by the least common denominator to eliminate fractions.

Step 3: Collecting Like Terms

Combine like terms on both sides of the equation to simplify further.

Step 4: Isolating the Variable

Move variables to one side and constants to the other using inverse operations.

Step 5: Solving the Equation

Solve for the variable by performing the necessary arithmetic operations.

Practice Problems

Work on practice problems to reinforce learning. Share and discuss solutions.

Write down 3 things you learned in this lesson.

Write down 2 things you want to know more about.

Ask 1 question about something you haven't quite understood yet.