Solving Equations and Substitution

The video tutorial explains how to solve an equation by isolating the variable x. It involves simplifying both sides of the equation, distributing negative numbers, combining like terms, and isolating the variable by adding and dividing. The solution is verified by substituting the value back into the original equation to ensure it holds true.

What is the primary goal when solving an equation for a variable?

• To make both sides of the equation equal zero

• To isolate the variable on one side of the equation

• To ensure the variable is on the right side

• To eliminate all numbers from the equation

What is the first step in simplifying the left side of the equation?

• Distribute the constants

• Multiply all terms by the same number

• Add all numbers together

• Combine like terms

How do you clear parentheses on the right side of the equation?

• By adding the numbers inside the parentheses

• By multiplying the terms inside the parentheses

• By distributing the number outside the parentheses

• By subtracting the terms inside the parentheses

What is the result of combining the x terms -9x and 6x?

• -3x

• 15x

• 3x

• -15x

What operation is used to isolate the variable term on the right side?

• Division

• Addition

• Subtraction

• Multiplication

What is the value of x after solving the equation?

• -69

• 69

• -23

• 23

What is the result of 69 divided by -3?

• 69

• -69

• -23

• 23

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

• To change the equation

• To simplify the equation further

• To find a new solution

• To verify the solution is correct

What should the left and right sides of the equation equal after substitution?

• 9

• 6

• 1

• 0

What does the equation 6 = 6 indicate after substitution?

• The solution is incorrect

• The equation is unsolvable

• The solution is correct

• The equation needs further simplification