Solving Multi-Step Equations with Variables on Both Sides

The video tutorial covers solving equations with variables on both sides. It introduces the Texas method, which involves moving variables to the side with more variables, and provides detailed steps for solving such equations. Several examples are worked through to illustrate the process, including distributing, combining like terms, and using inverse operations to isolate variables.

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

• Combine like terms

• Distribute any parentheses

• Check for a solution

• Move all variables to one side

In the context of the lesson, what does 'Texas' refer to?

• The side with constants

• The side with no variables

• The side with more variables

• The side with fewer variables

What should you do if there are parentheses in the equation?

• Distribute them

• Move them to one side

• Combine them with like terms

• Ignore them

What is the result of distributing 2 to the terms in the parentheses (2 * (9n - 1))?

• 9n - 2

• 18n + 2

• 18n - 2

• 9n + 2

After distributing and combining like terms, what is the next step?

• Check for parentheses

• Move all variables to one side

• Combine constants

• Check for a solution

In the example, what is the result of combining 18n and 7n?

• 23n

• 25n

• 26n

• 24n

What is the final step in solving the equation 25n = -300?

• Divide both sides by 25

• Multiply both sides by 25

• Subtract 25 from both sides

• Add 25 to both sides

What operation is used to move a variable term from one side to the other?

• Exponentiation

• Addition or subtraction

• Multiplication or division

• Square root

What is the result of distributing -4 to the terms in the parentheses (-4 * (x + 5))?

• -4x + 20

• 4x + 20

• -4x - 20

• 4x - 20

What is the solution to the equation 6x = -24?

• x = 6

• x = 4

• x = -4

• x = -6