Solving Inequalities and Operations

The video tutorial explains how to solve multi-step inequalities, starting with simplifying both sides, combining like terms, and using inverse operations. It emphasizes the importance of flipping the inequality sign when dividing by a negative number. The tutorial also covers graphing the solution on a number line and provides examples with variables on both sides. Key points include writing results as inequalities and graphing them.

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

• Graphing the inequality

• Simplifying both sides

• Combining like terms

• Flipping the inequality sign

When distributing a number across terms in parentheses, what operation is used?

• Division

• Multiplication

• Addition

• Subtraction

What is the result of combining 3x and -4x?

• -7x

• 7x

• -1x

• 1x

What operation is used to solve a two-step inequality after simplifying both sides?

• Distributing

• Inverse operations

• Graphing

• Combining terms

What happens to the inequality sign when you divide by a negative number?

• It disappears

• It becomes an equal sign

• It flips direction

• It stays the same

How do you represent 'x is less than or equal to 8' on a number line?

• Open circle at 8, arrow to the right

• Open circle at 8, arrow to the left

• Closed circle at 8, arrow to the left

• Closed circle at 8, arrow to the right

In an inequality with variables on both sides, what should you do first?

• Graph the inequality

• Simplify both sides

• Move all variables to one side

• Flip the inequality sign

What is the result of dividing -16 by 8 in the context of inequalities?

• -8

• 8

• 2

• -2

What is the key takeaway when solving inequalities?

• All of the above

• Simplify both sides

• Use inverse operations

• Always graph the result