Exploring Two-Step Equations

The video tutorial covers lesson 6.5 on solving more two-step equations. It begins with an introduction and learning goals, followed by detailed examples demonstrating how to solve equations with and without negative numbers. The instructor emphasizes the importance of dividing by the number outside the parentheses and using opposite operations to isolate variables. The video includes practice problems, notes on solving steps, and tools like the T-chart for handling signs. The lesson concludes with advanced examples and a preview of future topics involving fractions.

What is the first step in solving equations with a number outside the parentheses?

• Subtract the number from both sides

• Add the number to both sides

• Multiply both sides by the number

• Divide both sides by the number

What is the result of dividing -30 by 5 in Example 2?

• -6

• 150

• 6

• -150

After dividing both sides by the number outside the parentheses, what should you do next?

• Perform the distributive property

• Nothing, the equation is solved

• Multiply both sides by the same number

• Add or subtract to isolate the variable

How do you check if your solution to an equation is correct?

• Add the solution to the original equation

• Divide the solution by the number outside the parentheses

• Multiply the solution by the number outside the parentheses

• Substitute the solution back into the original equation

When solving equations, what does it mean if the signs are different?

• Subtract the numbers

• Divide the numbers

• Add the numbers

• Multiply the numbers

In Practice Problem A, what is the final value of x?

• 20

• 10

• 6

• 4

For Practice Problem B, what operation is performed to undo subtraction?

• Subtraction

• Addition

• Multiplication

• Division

In Practice Problem C, why do we divide by -7 instead of 7?

• It's a mistake; it should be 7

• To ensure the signs of the result match the equation

• Because the original equation has a negative sign

• To make the equation simpler

What is the solution for g in the advanced example involving negative 11?

• -11

• 11

• 15

• -15

What is the next topic of discussion hinted at the end of the lesson?

• Graphing equations

• Equations involving fractions

• Equations with variables on both sides

• Multiplication equations