Solving Multi-Step Equations with Distributive Property

The video tutorial covers solving multi-step equations by simplifying them into two-step equations. It explains the use of the distributive property, combining like terms, and applying inverse operations. Two examples are solved step-by-step, demonstrating the process of simplifying and solving equations. The tutorial concludes with a recap of the steps and instructions for homework practice.

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

• Combine like terms

• Apply the distributive property

• Divide or multiply both sides

• Subtract or add from both sides

What do you do after simplifying the equation completely?

• Move directly to solving two-step equations

• Start with division or multiplication

• Combine unlike terms

• Apply the distributive property again

What is the correct order of operations when solving equations?

• PEMDAS

• ADDITION first, then DIVISION

• SADMEP

• SUBTRACTION or ADDITION first, then DIVISION or MULTIPLICATION

How do you solve for x when 13x = -13?

• Subtract 13 from both sides

• Multiply both sides by 13

• Add 13 to both sides

• Divide both sides by 13

What is the result of x in the equation after simplification and solving?

• x = 0

• x = -1

• x = 1

• x = 13

What is emphasized as the last step in solving multi-step equations?

• Simplifying the equation

• Using inverse operations

• Combining unlike terms

• Applying the distributive property

In the second example, what is the first step taken to simplify the equation?

• Combine like terms

• Distribute the -1

• Subtract 1 from both sides

• Divide both sides by -2

What is the value of x in the second example?

• x = 10

• x = -5

• x = 5

• x = -10

How do you verify the solution of the second example?

• Divide the original equation by the solution

• Add the solution to the original equation

• Multiply the solution by -1

• Substitute x in the original equation

What is the result of checking the solution for the second example?

• 9 = -9

• -5 = 9

• 5 = 9

• 9 = 9