Compare Solution Methods for multi-Step Equations Quick Check from Pearson

Answer 1

Unfortunately, as an AI language model, I don't have access to specific content such as the Pearson Quick Check. However, I can provide general information about solution methods for multi-step equations.

1. The Addition or Subtraction Method: This method involves isolating the variable by using the inverse operation of addition or subtraction. It consists of adding or subtracting the same value from both sides of the equation until the variable is isolated.

2. The Multiplication or Division Method: This method involves isolating the variable by using the inverse operation of multiplication or division. It consists of multiplying or dividing both sides of the equation by the same value until the variable is isolated.

3. The Combining Like Terms Method: In multi-step equations with terms that contain the variable, combining like terms enables simplification. This method involves grouping like terms on both sides of the equation and then performing the necessary inverse operations to isolate the variable.

4. The Distributive Property Method: The distributive property allows the multiplication of terms across parentheses. In multi-step equations containing parentheses, this method involves distributing the value outside the parentheses and then applying the necessary solution methods.

5. The Variable Isolation Method: Sometimes, multi-step equations require multiple solution methods combined. The variable isolation method involves systematically applying various solution methods to isolate the variable and solve the equation.

These methods can be used individually or in combination, depending on the complexity of the multi-step equation. It is important to carefully follow the order of operations and perform the same operations on both sides of the equation to maintain equality.