Introduction: Solve Multi-Step Linear Equations
What you'll learn to do: solve multi-step linear equations
There are some equations that you can solve in your head quickly, but other equations are more complicated. Multi-step equations, ones that takes several steps to solve, can still be simplified and solved by applying basic algebraic rules such as the multiplication and addition properties of equality. In this section we will explore methods for solving multi-step equations that contain grouping symbols and several mathematical operations. We will also learn techniques for solving multi-step equations that contain absolute values. Finally, we will learn that some equations have no solutions, while others have an infinite number of solutions. The specific things you'll learn in this section include:- Use properties of equality to isolate variables and solve algebraic equations
- Solve equations containing absolute values
- Use the properties of equality and the distributive property to solve equations containing parentheses
- Clear fractions and decimals from equations to make them easier to solve
- Solve equations that have one solution, no solution, or an infinite number of solutions
- Recognize when a linear equation that contains absolute value does not have a solution
The learning activities for this outcome include:
- Read: Multi-Step Equations
- Self-Check: Multi-Step Equations
- Read: Solve equations with the Distributive Property
- Self-Check: Solve equations with the Distributive Property
- Read: Classify Solutions of Linear Equations
- Self-Check: Classify Solutions of Linear Equations
Licenses & Attributions
CC licensed content, Original
- Provided by: LumenLearning License: CC BY: Attribution.
