Mastering Adding and Subtracting Rational Expressions

This video tutorial covers triangle inequalities and algebra, focusing on solving inequalities and understanding the concept of flipping when multiplying or dividing by a negative. It provides techniques to avoid flipping and demonstrates solving inequalities with and without flipping. The tutorial also explores finding possible X values for triangle sides and solving for X using triangle perimeters. Finally, it explains how to order triangle sides and angles from least to greatest.

What should you watch out for when solving inequalities?

• Multiplying by zero

• Adding constants

• Flipping the inequality sign

• Subtracting constants

When solving inequalities, why is it recommended to keep X on the left-hand side?

• To make the solution easier to read

• To simplify the equation

• To avoid confusion

• To avoid flipping the inequality sign

What is the main strategy to avoid flipping the inequality sign?

• Subtract constants

• Multiply by positive numbers

• Keep the coefficient of X positive

• Always add constants

If you forget to flip the inequality sign regularly, what should you do?

• Avoid using negative numbers

• Use a calculator

• Ensure the coefficient of X is positive

• Always solve for X on the right-hand side

When must you flip the inequality sign?

• When multiplying or dividing by a negative number

• When adding a positive number

• When adding a negative number

• When subtracting a positive number

What is the first step in solving triangle inequalities?

• Identify the largest side

• Add all sides together

• Subtract the smallest side

• Multiply all sides

How do you account for all possibilities in triangle inequalities?

• By considering each side as the largest

• By adding all sides together

• By multiplying each side

• By subtracting each side

What should you do if a calculated side length is negative?

• Discount it

• Recalculate it

• Ignore it

• Use it as is

What is the sum of all angles in a triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

How do you find the measure of all angles in a triangle?

• By subtracting the smallest angle

• By setting the sum of angles equal to 180 degrees

• By multiplying all angles

• By adding all sides together