Solving One Step Inequalities: Addition and Subtraction Techniques

The video tutorial covers solving one-step inequalities using addition and subtraction. It explains the steps to isolate the variable, the importance of inverse operations, and how to check and graph solutions. Several examples are provided, including those with negative numbers and a word problem, to illustrate the concepts. The tutorial emphasizes the need to verify solutions before graphing and provides practice problems to reinforce learning.

What is the inverse operation of addition?

• None of the above

• Multiplication

• Division

• Subtraction

When solving one-step inequalities, what must you do to both sides of the inequality?

• Perform the same operation

• Graph the inequality

• Check the solution

• All of the above

What is the first step in solving one-step inequalities?

• Checking the solution

• Isolating the variable

• Identifying the variable

• Graphing the inequality

What is the correct way to check the solution of an inequality?

• Substituting any value

• Substituting a value greater than the solution

• None of the above

• Graphing only

In the example, what was the solution for the inequality involving subtraction?

• X is equal to 3

• X is less than -98

• X is less than -87

• X is greater than 48

What symbol is used to represent a value that is not included in the solution set on a graph?

• Closed circle

• Open circle

• Dot

• Arrow

Which operation is performed when the inequality involves addition?

• Subtraction

• Addition

• Division

• Multiplication

What is the correct graph representation for an inequality where the variable's value is not included in the solution?

• A line with a dashed border

• A solid line

• A closed circle

• An open circle

Why is it important to check the solution of an inequality?

• To determine if the variable is isolated

• To verify the solution satisfies the original inequality

• None of the above

• To ensure the graph is correct

How much more money does Susan need to buy the phone?

• Less than $120

• More than $375

• Exactly $255

• At least $255