One- and Two-Step Equations

Front

What is the inverse operation needed to solve for a variable in an equation?

Back

The inverse operation is the operation that reverses the effect of the original operation. For example, if the original operation is subtraction, the inverse operation is addition.

Front

What is a one-step equation?

Back

A one-step equation is an equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

How do you isolate a variable in a multiplication equation?

Back

To isolate a variable in a multiplication equation, divide both sides of the equation by the coefficient of the variable.

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to solve for the variable.

Front

What is the first step to solve the equation x - 8 = -5?

Back

The first step is to add 8 to both sides of the equation.

Front

What is the solution to the equation 4p = 20?

Back

The solution is p = 5, found by dividing both sides by 4.

Front

What operation would you use to solve the equation 765 = p - 254?

Back

You would use addition to isolate p, specifically adding 254 to both sides.

Front

What does it mean to 'isolate the variable' in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation y + 2 = 5?

Back

The solution is y = 3, found by subtracting 2 from both sides.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.