Solving Two-Step Inequalities in Pre-Algebra

This video tutorial covers the topic of inequalities, starting with an introduction to the concept and its recent grade-level changes. It provides detailed instructions on solving equations and word problems, followed by an explanation of two-step inequalities and their characteristics. The tutorial includes guidance on graphing inequalities on a number line, with several example problems and solutions. The lesson concludes with practice problems and a summary of key points.

What was the first step in solving the 'Do Now' activity problem where x was found to be 10?

• Dividing both sides by 5

• Multiplying both sides by 25

• Subtracting x from both sides

• Adding 10 to both sides

What is the golden rule when dealing with inequalities and negative numbers?

• Always add a positive number

• Subtract the negative number

• Flip the inequality symbol

• Multiply by the reciprocal

Which inequality symbol represents 'greater than or equal to'?

• >

• <

• ≥

• ≤

When graphing the solution set of an inequality, what does a closed dot represent?

• The inequality is non-strict

• The number is included in the solution set

• The number is not included in the solution set

• The inequality is strict

In the example problem, what was the least common multiple (LCM) used to eliminate fractions?

• 10

• 8

• 6

• 4

What is the first step in solving an inequality using the division property?

• Divide both sides by the same number

• Add the same number to both sides

• Subtract the same number from both sides

• Distribute the number outside the parentheses

In the example problem, what direction should the arrow point if x is greater than 5/6?

• Up

• Down

• Right

• Left

What should you do after finding the boundary number in an inequality?

• Plot it on a number line

• Ignore it

• Multiply it by 2

• Subtract it from the inequality

What is the purpose of using inverse operations when solving inequalities?

• To make the inequality more complex

• To eliminate variables

• To simplify the inequality

• To change the inequality symbol

By when should the attached worksheet be completed and turned in?

• Friday

• Sunday

• Monday

• Wednesday