Solving Two Step Inequalities in 7th Grade Math

The video tutorial covers solving two-step inequalities, emphasizing the use of inverse operations and the importance of reversing the inequality symbol when dividing or multiplying by a negative number. It includes examples of solving inequalities, checking solutions, and graphing results. The tutorial also explains how to determine if a given value satisfies an inequality and concludes with a summary of key points.

What is the main objective when solving two-step inequalities?

• To find the exact value of the variable

• To solve with 100% accuracy

• To graph the solution

• To solve with an area percent accuracy

What is the first step in solving a two-step inequality?

• Graph the inequality

• Divide by a negative number

• Move all constants to one side

• Move all variables to one side

When do you need to reverse the inequality symbol?

• When the variable is on the right side

• When adding a negative number

• When subtracting a positive number

• When dividing or multiplying by a negative number

What is the result of dividing a negative number by another negative number?

• A positive number

• Undefined

• A negative number

• Zero

What happens if you forget to reverse the inequality symbol when required?

• The graph will be unaffected

• The variable will be on the wrong side

• The solution will still be correct

• The inequality will be incorrect

How can you verify if your solution to an inequality is correct?

• By graphing the inequality

• By moving all constants to one side

• By checking the solution with a value

• By reversing the inequality symbol

What type of circle is used on the graph for 'greater than or equal to'?

• Half-filled circle

• No circle

• Closed circle

• Open circle

If the inequality is 'p > 4', which direction should you shade on the graph?

• To the left

• To the right

• Both directions

• No shading required

Which value would make the inequality '4x + 12 < 60' true?

• x = 20

• x = 10

• x = 12

• x = 15

What should you do if the variable is on the right side of the inequality?

• Move it to the left side

• Shade to the right on the graph

• Shade to the left on the graph

• Reverse the inequality symbol