Solving One Step Equations and Inequalities

The video tutorial covers solving equations and inequalities, emphasizing the importance of the order of operations (PEMDAS) and its inverse (SADMAP). It explains how to isolate variables using inverse operations and provides examples of solving one-step equations and inequalities. The tutorial also demonstrates how to graph solutions and offers practice problems with tips for solving inequalities effectively.

What does an equation contain?

• An inequality symbol

• An equal sign

• A variable

• A number

What is the purpose of writing PEMDAS?

• To graph equations

• To solve inequalities

• To remember the order of operations

• To isolate variables

What is the inverse operation of addition?

• Multiplication

• Division

• Subtraction

• Addition

What does SADMAP stand for?

• Solving equations

• Order of operations

• Inverse operations

• Operations in reverse order

How do you solve the equation X + 4 = 10?

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 4

• Multiply both sides by 4

What does an open circle on a graph represent?

• Less than

• Greater than or equal to

• Less than or equal to

• Equal to

How do you graph the inequality X > 6?

• Closed circle at 6, arrow to the right

• Open circle at 6, arrow to the right

• Open circle at 6, arrow to the left

• Closed circle at 6, arrow to the left

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

• Add the variable to both sides

• Rewrite the inequality with the variable on the left

• Subtract the variable from both sides

• Leave it as it is

How do you solve the inequality P/4 ≥ 3?

• Divide both sides by 4

• Multiply both sides by 4

• Add 4 to both sides

• Subtract 4 from both sides

What should you do after solving an inequality?

• Graph the solution

• Both A and B

• None of the above

• Check your work