Simplifying Multi-Step Equations

This video tutorial covers 14 examples of solving multi-step equations, focusing on simplifying them to two-step equations. It demonstrates the use of inverse operations, distributive property, and combining like terms. The tutorial also explores handling negative coefficients and using grouping symbols. Multiple methods for solving equations are discussed, providing a comprehensive understanding of linear equations.

What is the first step in simplifying a multi-step equation?

• Add all constants

• Subtract all variables

• Combine like terms

• Multiply all terms by 2

In Example 1, what operation is used to isolate the variable?

• Multiplication

• Subtraction

• Division

• Addition

How do you handle a negative sign in front of parentheses?

• Multiply it by the first term only

• Ignore it

• Add it to the terms inside

• Distribute it to each term inside

What is the result of distributing a negative sign in Example 2?

• Zero

• No change

• Negative terms

• Positive terms

In Example 3, what is the result of combining like terms?

• A two-step equation

• A single term

• A multi-step equation

• An unsolvable equation

What is the advantage of dividing instead of distributing in Example 5?

• It makes the equation longer

• It simplifies the equation

• It adds more steps

• It makes the equation unsolvable

In Example 6, why can't you divide by negative 1?

• It doesn't simplify the equation

• It changes the equation

• It is not allowed

• It makes the equation longer

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

• Subtract all variables

• Add all constants

• Combine the variables

• Multiply all terms by 2

In Example 8, what is the purpose of distributing the 5?

• To make the equation longer

• To eliminate the brackets

• To add more terms

• To simplify the equation

What is the result of using two different methods in Example 9?

• An unsolvable equation

• Two different solutions

• The same solution

• No solution