Solving Linear Equations and Inequalities

Mrs. Weiderholt reviews solving three-step equations with two examples. The first example involves using distribution, while the second focuses on combining like terms. Each example is broken down into clear steps, demonstrating how to simplify and solve the equations. The video concludes with a reference to additional resources on solving inequalities.

What is the primary focus of this lesson?

• Solving one-step equations

• Solving inequalities

• Solving three-step equations

• Solving two-step equations

What is the first step in solving a three-step equation?

• Adding constants

• Distribution

• Subtracting variables

• Combining like terms

In the first example, what is the first step to solve the equation?

• Combining like terms

• Distribution

• Adding constants

• Subtracting variables

What operation is performed after distribution in the first example?

• Subtraction

• Addition

• Division

• Multiplication

How is the term 6x moved to the other side of the equation in the first example?

• By dividing by 6

• By subtracting 6x

• By adding 6x

• By multiplying by 6

What is the final step in solving the first example?

• Adding all terms

• Multiplying all terms

• Dividing each side by 8

• Subtracting all terms

What is the result of dividing 8 by 8 in the first example?

• Undefined

• 8

• 1

• 0

What is the result of dividing negative 6 by 8 in the first example?

• -1/4

• -1/2

• -1/8

• -3/4

What is the final solution for y in the first example?

• y = -3/4x - 1

• y = 3/4x - 1

• y = 3/4x + 1

• y = -3/4x + 1

In the second example, what is the first step?

• Distribution

• Subtracting variables

• Combining like terms

• Adding constants