Solving Inequalities and Operations

This video tutorial covers solving multi-step inequalities, emphasizing the importance of maintaining the inequality when performing operations on both sides. It highlights the need to flip the inequality symbol when multiplying or dividing by a negative number. The tutorial also addresses handling fractions, distributing terms, and verifying solutions to ensure accuracy.

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

• Add a constant to both sides

• Subtract a constant from both sides

• Multiply both sides by a constant

• Divide both sides by a constant

When should you flip the inequality symbol?

• When multiplying or dividing by a negative number

• When multiplying or dividing by a positive number

• When subtracting a positive number

• When adding a positive number

In the first inequality problem, what operation is performed after subtracting 15 from both sides?

• Division

• Subtraction

• Multiplication

• Addition

What is the result of dividing both sides by -10 in the first inequality problem?

• The inequality symbol is doubled

• The inequality symbol is removed

• The inequality symbol flips

• The inequality symbol remains the same

In the second inequality problem, what is the first step to isolate the variable?

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply by 2 on both sides

• Divide by 2 on both sides

What happens to the inequality symbol when multiplying by -2 in the second problem?

• It is doubled

• It is removed

• It flips

• It remains the same

In the problem with decimals, what is the result of dividing 9 by 1.8?

• 5

• 7

• 4

• 6

Why is it important to check the solution in the problem with decimals?

• To confirm the operation used

• To ensure the inequality is correct

• To find the exact decimal value

• To verify the variable's position

In the problem with variables on both sides, what is the first step?

• Subtract 3M from both sides

• Add 3M to both sides

• Multiply by 3 on both sides

• Divide by 3 on both sides

What is the final step to solve the inequality with variables on both sides?

• Divide by 9 on both sides

• Multiply by 9 on both sides

• Add 9 to both sides

• Subtract 9 from both sides