Solving Equations with Variables on Both Sides

This video tutorial teaches how to solve equations with variables on both sides. It introduces the concept of isolating variables to one side of the equation and provides step-by-step examples for solving equations with different variables. The tutorial emphasizes the importance of eliminating terms to simplify equations and offers practice problems for reinforcement.

What is the main goal when solving equations with variables on both sides?

• To simplify both sides of the equation

• To find the value of the variable that makes both sides equal

• To convert the equation into a quadratic form

• To eliminate all variables

Why is trial and error not recommended for solving these types of equations?

• It requires a calculator

• It only works for whole numbers

• It can take a very long time

• It is too simple

What is the first step in solving equations with variables on both sides?

• Divide both sides by the variable

• Multiply both sides by the same number

• Move all variable terms to one side

• Add all constants to one side

In the equation 8X - 2 = 3X + 3, what should you do to eliminate the 3X term?

• Multiply both sides by 3

• Add 3X to both sides

• Subtract 3X from both sides

• Divide both sides by 3

After moving all variable terms to one side, what type of equation do you get?

• A one-step equation

• A quadratic equation

• A linear equation

• A two-step equation

In the example 8 - 9T = T - 12, why is it better to add 9T instead of subtracting T?

• To eliminate the constant term

• To make the equation quadratic

• To simplify the equation

• To avoid negative terms

What is the result of adding 9T to both sides in the equation 8 - 9T = T - 12?

• 8 = 8T - 12

• 8 = -8T - 12

• 8 = 10T - 12

• 8 = 10T + 12

In the equation -10M + 7 = -7M - 11, what is the result of adding 10M to both sides?

• 7 = -3M - 11

• 7 = 17M - 11

• 7 = -17M - 11

• 7 = 3M - 11

What is the final value of M in the equation -10M + 7 = -7M - 11?

• M = -6

• M = 6

• M = -3

• M = 3

In the practice problem, what is the value of T in the equation T + 7 = -9?

• T = -16

• T = 16

• T = -2

• T = 2