Solving Equations and Checking Solutions

This tutorial covers solving multi-step equations, emphasizing the importance of following four key steps: distributing to clear parentheses, combining like terms, using inverse operations, and checking solutions. The video provides examples and encourages independent practice, guiding students through both simple and complex problems.

What is the first step in solving multi-step equations?

• Solve using inverse operations

• Check the solution

• Distribute to clear parentheses

• Combine like terms

When combining like terms, where should the terms be located?

• In the parentheses

• Anywhere in the equation

• On the same side of the equation

• On opposite sides of the equation

What is the purpose of using inverse operations in solving equations?

• To isolate the variable

• To simplify the equation

• To combine like terms

• To check the solution

Why is it important to check your solution after solving an equation?

• To ensure the equation is balanced

• To find more solutions

• To simplify the equation further

• To combine like terms

In Example Problem 1, what was the first observation made about the equation?

• It had no parentheses

• It had parentheses

• It was already solved

• It had like terms

In Example Problem 3, what was the strategy used to simplify the right side of the equation?

• Check the solution

• Distribute the terms

• Combine like terms

• Use inverse operations

What should you do after attempting problems independently?

• Skip the problems

• Ask for help

• Move to the next topic

• Check your solutions

In Example Problem 2, what type of terms were combined?

• Variable terms

• Mixed terms

• No terms were combined

• Constant terms

In Example Problem 4, which terms were combined first?

• Variable terms

• Constant terms

• Both were combined simultaneously

• No terms were combined

What is the first step when dealing with distribution problems?

• Distribute the coefficient

• Solve using inverse operations

• Check the solution

• Combine like terms