Solving Equations and Properties

The video tutorial explains how to solve an equation by isolating the variable. It covers the importance of using the order of operations and the distributive property to simplify equations. The tutorial demonstrates how to get all variables on one side of the equation and solve for the variable. Finally, it shows how to verify the solution by plugging it back into the original equation.

What is the first step in solving an equation?

• Checking the solution

• Applying the distributive property

• Isolating the variable

• Combining like terms

What is the main goal when solving an equation?

• To find the value of the variable

• To simplify the equation

• To eliminate all terms

• To balance both sides

What challenge is presented by having variables on different sides of the equation?

• It leads to multiple solutions

• It complicates isolating the variable

• It requires more complex operations

• It makes the equation unsolvable

What should you do if you have multiple variables in an equation?

• Combine them

• Eliminate them

• Ignore them

• Isolate one of them

Why is it important to consider the order of operations when dealing with parentheses?

• To ensure the equation is balanced

• To find the solution faster

• To simplify the equation correctly

• To avoid negative numbers

What does the distributive property help achieve in an equation?

• Eliminating parentheses

• Checking the solution

• Combining like terms

• Finding the solution

What is the first step in applying the distributive property?

• Multiplying each term inside the parentheses

• Combining like terms

• Checking the solution

• Isolating the variable

What should you do if terms inside parentheses are not like terms?

• Apply the distributive property

• Combine them

• Ignore them

• Simplify them

After applying the distributive property, what is the next step?

• Combining like terms

• Isolating the variable

• Reapplying the distributive property

• Checking the solution

What is the result of multiplying 6 by 12?

• 84

• 60

• 66

• 72