When solving two-step equations, the goal is still to isolate the variable.
The steps to solving 2 step equations is as follows:
- Distributive Property
- Combine Like Terms
- Inverse operations (add and subtract integers)
- Inverse operations (multiply and divide coefficients)
Let’s take a closer look at each step.
First, when solving a two-step equation, the parenthesis must be removed by using the distributive property.
The word distribute means sharing something. In math, the distributive property uses multiplying multiple addends by the same factor which results in the same product as multiplying each addend separately and then adding them together.
Combining Like Terms
Second, the equation must be simplified bu combining similar terms. Coefficients (2x, 3a…)must be combined through addition. Rational numbers must be combined through addition as well.
Inverse operations (add and subtract integers)
An inverse operation is an operation that reverses the effect of an opposite operation. Addition inverses subtraction. Subtraction inverses addition. In an equation, the rational numbers must be moved to one side of the equation with the use of addition or subtraction inverting the given operation.
Inverse operations (multiply and divide coefficients)
Finally, multiplication and division inverse operations are used to separate coefficients so, all rational numbers end up on one side of the equal sign and the variable ends up on the opposite side of the equal sign. Once these inverse operations are completed, a solution for the equation is expressed.
More on Solving Equations