Solving Multi-Step Linear Equations

The video tutorial explains how to solve a multi-step linear equation by isolating the variable. It covers distributing terms to clear parentheses, combining like terms, and eliminating variable terms on one side to simplify the equation. The final steps involve solving a two-step equation to find the solution, x = -2.

What is the primary goal when solving a multi-step linear equation?

• To find the value of the constant

• To isolate the variable on one side of the equation

• To eliminate all terms on one side

• To simplify the equation to a single number

What is the first step in solving the given equation?

• Adding constants to both sides

• Distributing to clear parentheses

• Combining like terms

• Subtracting variables from both sides

When distributing, what should you be cautious about?

• The order of operations

• The position of the variable

• The size of the numbers

• The presence of a minus sign

After distributing, what is the next step?

• Isolating the variable

• Combining like terms

• Adding constants

• Dividing by the coefficient

How can you eliminate a variable term from one side of the equation?

• By multiplying both sides by zero

• By adding or subtracting the term from both sides

• By ignoring the term

• By dividing both sides by the term

What is the result of subtracting 3x from both sides in this equation?

• The equation becomes a single number

• The variable terms are eliminated from one side

• The constants are combined

• The equation becomes zero

What operation is used to solve the two-step equation after isolating the variable?

• Subtraction

• Division

• Addition

• Multiplication

What is the final solution for x in the equation?

• x = 1

• x = 0

• x = -2

• x = 2

What should you do to verify the solution of the equation?

• Multiply the solution by the coefficient

• Check if the solution satisfies the original equation

• Subtract the solution from both sides

• Add the solution to both sides

What does it mean if substituting the solution into the original equation makes it true?

• The solution is verified

• The equation needs to be simplified further

• The solution is incorrect

• The equation is unsolvable