Solving Multi-Step Equations Concepts

This video tutorial covers writing and solving multi-step equations. It begins with an introduction to the success criteria and key ideas, such as using inverse operations and the reverse order of PEMDAS. The tutorial includes several examples, demonstrating how to solve equations by combining like terms, using the distributive property, and handling parentheses. It concludes with a word problem that involves calculating the mean number of miles run per day. Throughout the video, the instructor emphasizes the importance of maintaining equation balance by performing operations on both sides.

What is the primary goal when writing and solving multi-step equations?

• To apply properties to produce equivalent equations

• To memorize all equations

• To avoid using any operations

• To guess the solution

Which operation should be used first when solving multi-step equations?

• Addition

• Subtraction

• Multiplication

• Inverse operations

In the equation 3x + 15 = 24, what is the first step to isolate the variable?

• Multiply both sides by 3

• Add 15 to both sides

• Divide both sides by 3

• Subtract 15 from both sides

When solving 8x - 6x - 25 = -35, what should be done after combining like terms?

• Multiply both sides by 2

• Subtract 25 from both sides

• Add 25 to both sides

• Divide both sides by 2

In the alternative method, what is the first step to simplify the equation?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 4 from both sides

• Add 4 to both sides

What is the purpose of using the distributive property in equations with parentheses?

• To make the equation more complex

• To add more terms

• To simplify the equation

• To eliminate variables

How do you find the mean number of miles run per day in the word problem?

• Subtract all numbers and divide by 5

• Multiply all numbers and divide by 5

• Add all numbers and divide by 5

• Divide all numbers by 5