Solving Two Step Equations with the Do Undo Method

This video tutorial covers algebraic reasoning, specifically SOL 7.12b, focusing on solving two-step linear equations using the do-undo method. The tutorial provides detailed examples, including solving equations like 3x + 5 = -10 and -1/2x + 6 = 8, demonstrating how to handle operations with negatives and division. The method is shown to be effective for organizing work and ensuring accuracy. The lesson concludes with a preview of more complex equations in the next session.

What is the primary focus of today's lesson in algebra?

• Trigonometric identities

• Graphical methods

• Two-step linear equations

• Quadratic equations

What is the first step in the do-undo method for solving equations?

• Identify the variable

• Set up the do-undo table

• Box out the terms

• Calculate the answer

In the do-undo method, what is the opposite operation of multiplying by 3?

• Subtract 3

• Add 3

• Divide by 3

• Multiply by 3

What operation is performed after inputting -10 in the calculator for the equation 3x + 5 = -10?

• Add 5

• Subtract 5

• Multiply by 5

• Divide by 5

What is the correct sequence of operations on the undo side for the equation 3x + 5 = -10?

• Divide by 3, subtract 5

• Multiply by 3, add 5

• Subtract 5, divide by 3

• Add 5, multiply by 3

What is the result of substituting x = -5 into the equation 3x + 5?

• 10

• 0

• -15

• -10

How is -1/2x interpreted in the context of the do-undo method?

• x divided by -2

• x divided by 2

• x multiplied by -2

• x multiplied by 2

What is the final value of x when solving the equation -1/2x + 6 = 8?

• 2

• -2

• 4

• -4

What should be done after subtracting 6 in the equation -1/2x + 6 = 8?

• Add 2

• Subtract 2

• Multiply by -2

• Divide by -2

How do you verify the solution x = -4 for the equation -1/2x + 6 = 8?

• Substitute x in x - 6

• Substitute x in -1/2x + 6

• Substitute x in x/2 + 6

• Substitute x in 3x + 5