Two Step Equations

Front

What is a two-step equation?

Back

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

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they appear in the equation.

Front

What is the first step to solve the equation x/4 + 2 = 42?

Back

Subtract 2 from both sides of the equation.

Front

What is the second step to solve the equation x/4 + 2 = 42 after isolating the variable?

Back

Multiply both sides by 4 to solve for x.

Front

What is the solution to the equation 4x - 8 = -40?

Back

The solution is x = -8.

Front

What operation would you perform first to solve the equation x/4 + 11 = 20?

Back

Subtract 11 from both sides of the equation.

Front

What is the solution to the equation x/12 - 8 = -4?

Back

The solution is x = 48.

Front

How do you check your solution for a two-step equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation x/7 - 2 = 8?

Back

The solution is x = 70.

Front

What does it mean to perform the inverse operation?

Back

An inverse operation reverses the effect of the original operation, such as addition and subtraction or multiplication and division.