Solving Multi Step Equations Review

This video tutorial reviews solving multi-step equations with variables on one side of the equal sign. It covers simplifying both sides of the equation, using the additive inverse to make zero, and applying the multiplicative inverse to isolate the variable. The tutorial includes examples, highlighting common mistakes such as forgetting to distribute negative signs. The video aims to reinforce understanding of these concepts through step-by-step explanations.

What is the first step in solving a multi-step equation with variables on one side?

• Simplify both sides of the equation

• Distribute the terms

• Use the additive inverse

• Apply the multiplicative inverse

What does combining like terms involve?

• Adding coefficients of the same variables

• Subtracting different variables

• Multiplying terms with different bases

• None of the above

What does using the additive inverse help achieve in solving equations?

• It simplifies the equation by making zero

• It combines like terms

• It distributes the terms evenly

• It helps to isolate the variable

How do you make zero in an equation?

• By subtracting the additive inverse from both sides

• By adding the multiplicative inverse

• By dividing terms

• By combining unlike terms

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

• To make one and isolate the variable

• To distribute terms

• To add terms together

• To simplify both sides

What is achieved by dividing both sides of an equation by the same number?

• Distributing terms

• Isolating the variable

• Making zero

• Combining like terms

In the context of equations, what does the distributive property involve?

• Adding terms together

• Subtracting terms from each other

• Multiplying a number across terms inside parentheses

• Isolating the variable

What should you be careful about when applying the distributive property?

• All of the above

• The order of operations

• The sign of the number outside the parentheses

• The type of terms inside the parentheses

After applying the distributive property and combining like terms, what is the next step?

• None of the above

• Apply the multiplicative inverse

• Use the additive inverse

• Simplify the equation further

What common mistake do students make when applying the distributive property?

• Ignoring the negative sign

• Forgetting to multiply the second term

• Adding instead of multiplying

• Using the wrong variable