Solving Multi-Step Equations: Key Concepts and Techniques

The video tutorial teaches how to solve multi-step equations using inverse operations and Reverse PEMDAS. It provides several examples, demonstrating techniques like combining like terms, distribution, and using inverse operations such as addition, subtraction, multiplication, and division to isolate variables and solve equations. The tutorial emphasizes the importance of performing the same operation on both sides of the equation to maintain balance.

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

• Isolate the variable

• Apply the distributive property

• Use inverse operations

• Combine like terms

In Example 1, what do you get when you combine 15a and 5a?

• 30a

• 10a

• 25a

• 20a

What is the final value of 'a' in Example 1?

• 2

• 3

• 4

• 5

In Example 2, what is the first step to solve 3(2x + 4) = 6?

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 3

• Distribute the 3

What is the value of 'x' in Example 2?

• 2

• 1

• -1

• 0

In Example 3, what operation is used to eliminate the fraction?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of 'b' in Example 3?

• -5

• 10

• 5

• -10

In Example 4, what is the first step to solve 2(4x - 5) + 7 = 17?

• Distribute the 2

• Subtract 7 from both sides

• Divide both sides by 2

• Add 5 to both sides

What is the value of 'x' in Example 4?

• 3

• 7/2

• 5/2

• 2

In Example 5, what is the final value of 'x'?

• 41

• 11

• 31

• 21