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

What is the first step to isolate a variable in an equation?

Back

The first step is usually to eliminate any constant term on the same side as the variable.

Front

How do you solve the equation -11 - 3x = 44?

Back

Add 11 to both sides to get -3x = 55, then divide by -3 to find x.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to isolate the term with the variable.

Front

What is the solution to the equation -4 = 2t - 2?

Back

Add 2 to both sides to get -2 = 2t, then divide by 2 to find t = -1.

Front

How do you solve for x in the equation 9 + 3x = 10?

Back

Subtract 9 from both sides to get 3x = 1, then divide by 3 to find x = 1/3.

Front

What is the process to solve the equation 6z + 3 - 4z = 9?

Back

Combine like terms to get 2z + 3 = 9, then subtract 3 and divide by 2 to find z = 3.

Front

What does it mean to isolate a variable?

Back

Isolating a 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 importance of performing the same operation on both sides of an equation?

Back

Performing the same operation on both sides maintains the equality of the equation.

Front

What is a constant term in an equation?

Back

A constant term is a value that does not change and does not contain any variables.