Solving Linear Equations Concepts

The video tutorial explains how to solve algebraic equations with variables on both sides. It begins by introducing the concept and then demonstrates the process of eliminating variables from one side. The tutorial continues by simplifying the equation and solving for the variable x. Finally, it shows how to verify the solution by substituting the value back into the original equation.

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

• Divide both sides by a variable

• Multiply both sides by a constant

• Remove variables from one side

• Add variables to both sides

If one side of the equation has 9x and the other has 3x, what should you do?

• Subtract 3x from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 3x to both sides

After removing 3x from both sides, what is the next step?

• Divide both sides by 7

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 7

What is the equation after removing 3x from both sides?

• 9x = 18

• 6x = 18

• 9x + 7 = 25

• 6x + 7 = 25

What operation is used to handle the constant in the equation?

• Subtraction

• Division

• Multiplication

• Addition

What is the equation after subtracting 7 from both sides?

• 6x = 18

• 9x + 7 = 18

• 6x + 7 = 18

• 9x = 18

How do you solve for x when the equation is 6x = 18?

• Divide both sides by 6

• Add 6 to both sides

• Multiply both sides by 6

• Subtract 6 from both sides

What is the value of x when 18 is divided by 6?

• 2

• 4

• 3

• 5

What is the purpose of substituting the solution back into the original equation?

• To find a new solution

• To eliminate variables

• To verify the solution

• To simplify the equation

When substituting x = 3 back into the equation, what should both sides equal?

• 34

• 18

• 9

• 27