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 inverse operations in the reverse order of operations used in the equation.

Front

What is the first step to solve the equation -6w + 1 = -11?

Back

Subtract 1 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 4x + 7 = 23?

Back

The solution is x = 4.

Front

What operation would you perform first to solve the equation 6z + 3 - 4z = 9?

Back

Combine like terms (6z - 4z) to simplify the equation.

Front

What is the value of t in the equation -4 = 2t - 2?

Back

The value of t is -1.

Front

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

Back

Substitute the solution back into the original equation to verify that both sides are equal.

Front

What is the second step to solve the equation -15 = -4y + 5?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the importance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.