Understanding Two-Step Inequalities

The video tutorial covers modeling and solving two-step inequalities using algebra tiles. It explains the components of inequalities, such as coefficients, variables, constants, and inequality symbols. The tutorial demonstrates how to model inequalities with algebra tiles and solve them through a two-step process: subtracting constants and dividing by coefficients. It also discusses reversing inequality symbols when dividing by negative numbers. Real-world applications and example problems are provided to illustrate the concepts. The lesson concludes with a brief introduction to graphing solutions and a preview of the next lesson.

What is the purpose of using algebra tiles in modeling inequalities?

• To graph inequalities on a number line

• To calculate the exact solution

• To visually represent the components of an inequality

• To solve equations directly

In a two-step inequality, what is the first step typically involved?

• Dividing both sides by a coefficient

• Multiplying both sides by a coefficient

• Subtracting a constant from both sides

• Adding a constant to both sides

Why must the direction of the inequality symbol be reversed when dividing by a negative number?

• Because it changes the inequality to an equation

• Because it simplifies the inequality

• Because it maintains the inequality's truth

• Because it affects the variable's sign

What does the line between two sides of a mat represent in an inequality?

• An addition symbol

• A subtraction symbol

• An equal sign

• An inequality symbol

Emma has $12 and buys a spool of thread for $2. How is the number of yards of fabric she can buy represented?

• 4y + 2 ≥ 12

• 4y + 2 > 12

• 4y + 2 < 12

• 4y + 2 ≤ 12

What does the word 'per' indicate in the context of inequalities?

• Multiplication

• Addition

• Division

• Subtraction

If x is less than or equal to 4, which of the following could be a possible value for x?

• 4.5

• 5

• 4.1

• 3.99

What is the least possible value for y if y is greater than or equal to 9?

• 8

• 9

• 10

• 0

Which of the following statements is true about the solution to an inequality?

• It is always a single number

• It cannot include fractions

• It is always an integer

• It can be a range of numbers

What is the main focus of the next part of the lesson?

• Writing two-step inequalities

• Graphing inequalities

• Solving equations

• Using algebra tiles