Solving Multi-Step Inequalities in 8th Grade Math

This video tutorial covers solving multi-step inequalities using a structured four-step method. It includes examples to illustrate the process, emphasizing when to flip the inequality sign. The lesson also introduces compound inequalities, explaining how to solve and graph them. The tutorial concludes with a summary and a homework assignment.

What is the key decision to make when solving multi-step inequalities?

• Whether to add or subtract

• Whether to combine like terms

• Whether to flip the sign when multiplying or dividing by a negative

• Whether to use parentheses

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

• Convert all subtraction to addition

• Isolate the variable

• Simplify all parentheses

• Combine like terms

When simplifying parentheses, which property is used?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

In Example 1, what operation is performed after distributing the negative 1?

• Combining like terms

• Isolating the variable

• Flipping the sign

• Adding a constant

In Example 1, what is the final step to isolate the variable?

• Adding a constant

• Multiplying by a positive number

• Combining like terms

• Dividing by a negative number

In Example 2, what is done to the smallest variable part?

• It is divided

• It is multiplied

• It is added

• It is subtracted

Why is the sign flipped in Example 2?

• Because a negative number is subtracted

• Because a positive number is added

• Because a negative number is multiplied or divided

• Because like terms are combined

What makes compound inequalities tricky?

• They require three parts to stay balanced

• They do not involve variables

• They do not require flipping the sign

• They involve only one balance

In a compound inequality, what must be done to keep all parts balanced?

• Add the same number to all parts

• Subtract the same number from all parts

• Multiply all parts by the same number

• Paste the same operation to all parts

What is the final step in solving a compound inequality?

• Isolating the variable

• Simplifying parentheses

• Flipping the sign

• Combining like terms