Solving Equations and Operations

This video tutorial teaches how to solve equations with variables on both sides. It begins with an introduction to the concept, followed by detailed steps to isolate the variable. Two examples are provided to demonstrate the process, and the video concludes with a summary and links to additional practice resources.

What is the first step in solving equations with variables on both sides?

• Divide both sides by the variable

• Add all numbers to one side

• Isolate the variable

• Multiply both sides by zero

When isolating the variable, what should you do with the constants?

• Move them to the opposite side of the variable

• Subtract them from both sides

• Add them to the variable side

• Ignore them

What operation should be performed to move a term to the other side of the equation?

• Divide the term by both sides

• Add the term to both sides

• Multiply the term by both sides

• Subtract the term from both sides

In the equation 3 = 2x - 21, what is the next step to isolate x?

• Add 21 to both sides

• Multiply both sides by 21

• Subtract 21 from both sides

• Divide both sides by 21

After isolating the variable, what should you do to solve for x in 24 = 2x?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the opposite operation of addition?

• Multiplication

• Division

• Subtraction

• Exponentiation

What is the opposite operation of multiplication?

• Exponentiation

• Subtraction

• Addition

• Division

Why is it important to perform the same operation on both sides of an equation?

• To make it more complex

• To change the solution

• To keep the equation balanced

• To simplify the equation

In the example 3a + 4 = a + 8, what is the first step?

• Add a to both sides

• Divide both sides by a

• Subtract a from both sides

• Multiply both sides by a

What is the result of simplifying 3a - a?

• 2a

• 3a

• a

• 4a