Solving Two-Step Inequalities

This video tutorial covers the modeling and solving of two-step inequalities using algebra tiles. It begins with an introduction to the concept and the properties of inequality, including addition, subtraction, multiplication, and division. The tutorial then demonstrates how to model and solve specific inequalities, such as 2d - 1 ≥ 7 and 3x + 3 > 6, using algebra tiles. Each step is explained in detail, emphasizing the importance of maintaining balance on both sides of the inequality. The lesson concludes with a summary and a preview of upcoming topics.

What is the primary method used to solve two-step inequalities in this lesson?

• Graphing

• Substitution

• Trial and error

• Using algebra tiles

What does a big rectangle represent in algebra tiles?

• A positive variable

• A negative variable

• A positive constant

• A negative constant

In the inequality 2d - 1 ≥ 7, what does the number 2 represent?

• The constant

• The variable

• The inequality symbol

• The coefficient

What is the first step in solving the inequality 2d - 1 ≥ 7 using algebra tiles?

• Multiply each side by 2

• Subtract a tile from each side

• Add a plus tile to each side

• Divide each side by 2

How do you verify the solution for the inequality 2d - 1 ≥ 7?

• By checking with a teacher

• By substituting the solution back into the original inequality

• By graphing the solution

• By using a calculator

What is the inequality symbol used in 3x + 3 > 6?

• Equal to

• Less than

• Greater than

• Not equal to

What property of inequality is used to subtract 3 from each side in 3x + 3 > 6?

• Addition property

• Subtraction property

• Division property

• Multiplication property

What is the final solution for the inequality 3x + 3 > 6?

• x < 1

• x = 1

• x > 1

• x ≥ 1

What is the next topic after solving two-step inequalities?

• One-step equations

• Graphing inequalities

• Quadratic equations

• Solving and interpreting solutions of two-step inequalities