Solving Multi-Step Equations with Variables on Both Sides

This video tutorial explains how to solve multi-step equations with variables on both sides. It covers the basic steps of moving variables and constants, using inverse operations, and provides detailed examples to illustrate the process. The tutorial also includes practice questions for viewers to test their understanding.

What is the purpose of an equal sign in an equation?

• To show that two expressions are equal

• To indicate the start of an equation

• To separate variables from constants

• To show the end of an equation

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

• Divide by the coefficient of the variable

• Move all constants to one side

• Move all variables to one side

• Add hidden symbols

What is the inverse operation of addition?

• Addition

• Subtraction

• Multiplication

• Division

In the equation 9x - 5 = 12x - 4, why do we move 9x to the other side?

• To simplify the equation

• To eliminate the constant term

• To make the variable positive

• Because 9 is less than 12

What is the result of dividing -1 by 3?

• 3

• -1/3

• 1/3

• -3

In the equation 14x + 7 = 8x + 19, what is the first step?

• Divide by 14

• Subtract 8x from both sides

• Add 8x to both sides

• Subtract 7 from both sides

What is the final value of x in the equation 14x + 7 = 8x + 19?

• 1

• 3

• 2

• 4

In the equation -2x + 6 = -6x + 14, what is the result of adding 6x to both sides?

• 4x + 6 = 14

• 2x + 6 = 14

• 4x + 6 = 0

• 0 = 14

What is the final value of x in the equation -2x + 6 = -6x + 14 when solved by moving the variable to the right-hand side?

• 1

• 2

• 3

• 4

What should you do after watching the video to practice solving equations?

• Pause the video and solve the given problems

• Rewatch the video

• Skip to the next video

• Take a break