Mastering Multi-Step Equations with Variables on Both Sides

This video tutorial guides viewers through solving multi-step equations. It begins with an introduction to the concept, followed by a detailed explanation of the three main steps: simplifying each side of the equation, moving variables to one side, and solving the remaining two-step equation. The tutorial includes examples and practice problems to reinforce learning, emphasizing the importance of keeping equations organized and variables positive.

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

• Combine like terms on one side

• Isolate the variable

• Simplify each side of the equation

• Distribute the constants

What property is used to simplify the expression 18 - 3(X + 4)?

• Associative property

• Distributive property

• Identity property

• Commutative property

After simplifying, what is the equivalent expression for 5 + 2X - 8?

• 2X - 3

• 7X - 3

• 2X + 3

• 7X + 3

Which of the following is a correct representation of distributing -3 in the expression -3(X + 4)?

• 3X + 12

• -3X + 12

• 3X - 12

• -3X - 12

What should you do if you have variable terms on both sides of the equation?

• Combine like terms

• Simplify constants

• Get all variable terms on one side

• None of the above

What is the result of adding 3X to both sides of the equation 6 - 3X = -3 + 2X?

• 9 = 5X

• 9 = 5X - 3

• 6 = 5X - 3

• 6 = 5X

How do you isolate the variable X when you have 9 = 5X?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the correct solution for X in the equation 9 = 5X?

• X = 0.56

• X = 5.9

• X = 1.8

• X = 2.25

What alternative method could be used to solve the equation 6 - 3X = -3 + 2X?

• Subtract 2X from both sides

• Add 6 to both sides

• None of the above

• Subtract 3X from both sides

What is the final step in solving two-step equations?

• Simplify each side of the equation

• Distribute the constants

• Isolate the variable

• Combine like terms