solving two step equations

Isolating the variable

The process of rearranging an equation to get the variable by itself, removing constants and coefficients.

Reverse order of operations

The method of solving equations where operations are performed in the opposite order of their standard precedence.

Why addition and subtraction come before multiplication and division?

To isolate the variable by first eliminating any constants through addition or subtraction.

Two-step equation example

The equation $2x + 5 = 15$ demonstrates subtracting the constant from both sides.

Using division to isolate a variable

Dividing by the coefficient to solve for the variable when it is multiplied by a number.

Handling fractions in equations

Recognizing fractions as divisions and using multiplication to simplify complicated expressions.

Fact-checking in algebra

The process of substituting a solution back into the original equation to ensure the answer is correct.

Undoing process in algebra

The series of steps taken to reverse operations (like addition/subtraction, multiplication/division) to isolate the variable.