Solving Equations - Master the Steps to Solutions
Welcome to our learning module on solving equations! In this module, you’ll begin by reviewing the foundational skills for solving equations, including solving simple one-step and multi-step equations. Through video lessons, we’ll also cover how to use the Distributive Property to simplify expressions within equations, making it easier to isolate variables and find solutions. These initial skills will help you build confidence as you approach more complex problems.
As we progress, you’ll tackle equations that contain variables on both sides. Learning to solve these types of equations is essential for developing a deeper understanding of algebra and practicing techniques for isolating and balancing variables. Through step-by-step guidance and examples, you’ll gain proficiency in working with these more advanced equations, allowing you to approach a wider variety of problems.
Finally, this module will introduce you to special cases in solving equations, including equations with no solution or infinitely many solutions. You’ll learn how to recognize these cases and understand why they occur, giving you insight into the structure of equations and their possible outcomes. By the end of the module, you’ll be well-prepared to solve a range of equations and apply these skills to more advanced math challenges.
Lesson Objective: By the end of this lesson, 8th-grade students will be able to solve simple one-step and two-step equations involving addition, subtraction, multiplication, and division, using inverse operations to isolate the variable and find its value.
Essential Question: How can we use inverse operations to solve equations and find the value of the unknown variable?
Lesson Objective: By the end of this lesson, 8th-grade students will be able to solve multi-step equations that involve the distributive property, as well as a combination of addition, subtraction, multiplication, and division. Students will apply inverse operations and simplify expressions to isolate the variable and find its value.
Essential Question: How can we use the distributive property and inverse operations to solve multi-step equations and find the value of the variable?
Check for Understanding: Test your understanding with these end-of-lesson practice problems to reinforce your skills and master the concept!
Preparing for Variables on Both Sides
Lesson Objective: By the end of this lesson, 8th-grade students will be able to solve any linear equation using a procedural checklist, which includes steps such as simplifying both sides, combining like terms, applying inverse operations, isolating the variable, and checking the solution for accuracy.
Essential Question: How can we use a step-by-step process to solve any linear equation and ensure that our solution is correct?
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides Lesson
Lesson Objective: By the end of this lesson, 8th-grade students will be able to solve equations with variables on both sides by applying appropriate algebraic steps, such as simplifying both sides, combining like terms, and using inverse operations to isolate the variable and find its value.
Essential Question: How can we solve equations that have variables on both sides and find the value of the unknown variable?
Check for Understanding: Test your understanding with these end-of-lesson practice problems to reinforce your skills and master the concept!
Lesson Objective: By the end of this lesson, 8th-grade students will be able to identify and interpret special solutions of linear equations, including one solution, no solution, and infinitely many solutions, by comparing terms on both sides or analyzing mathematical solutions where variables are eliminated.
Essential Question: How can we recognize and explain the special solutions of linear equations, such as one solution, no solution, or infinitely many solutions, by comparing terms or eliminating variables?
Check for Understanding: Test your understanding with these end-of-lesson practice problems to reinforce your skills and master the concept!
