Solving Multistep Equations with Variables on Both Sides

The video tutorial covers solving multi-step equations with variables on both sides. It begins with an introduction to the concept and proceeds with detailed, step-by-step solutions to several example problems. The tutorial also includes more complex equations involving distribution on both sides, providing a comprehensive understanding of the topic.

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

• Combine like terms

• Identify terms that need distribution

• Move constants to one side

• Isolate the variable immediately

When moving terms across the equals sign, what operation is typically used?

• Addition

• Multiplication

• Subtraction

• Inverse operation

What is the result of solving the equation when 4 times 5B plus 4 is distributed and simplified?

• B = 4

• B = -2

• B = -4

• B = 2

What should be done if a term does not involve a variable (a constant) when solving equations?

• Move it to the left side

• Leave it where it is

• Eliminate it from the equation

• Move it to the right side

What does distributing a number inside the parentheses involve?

• Multiplying the number with each term inside

• Subtracting the number from each term inside

• Adding the number to each term inside

• Dividing each term by the number

In the context of equation solving, what does 'combining like terms' refer to?

• Isolating variables on one side

• Adding or subtracting terms with the same variable

• Adding or subtracting constants

• Multiplying coefficients

What is the correct operation to use when a term with a variable needs to be moved across the equals sign?

• Subtraction

• Addition

• Inverse operation

• Multiplication

How do you handle a negative variable during the solving process?

• Add a positive counterpart

• Ignore the sign

• Convert it to a positive by adding 1

• Perform the inverse operation

What is the final step in solving for a variable in an equation?

• Add one to both sides

• Divide by the coefficient of the variable

• Multiply by the variable

• Subtract the variable from both sides

How is a negative coefficient affecting the variable handled in the solution of an equation?

• It is added to both sides

• It is divided out

• It is subtracted from both sides

• It is ignored