Solving 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 how they are applied.

Front

What is the first step in solving the equation -4x + 1 = 21?

Back

Subtract 1 from both sides of the equation.

Front

What is the solution to the equation 3x - 5 = 4?

Back

x = 3.

Front

What operation is performed to both sides of the equation 5b - 6 = 24 to begin solving it?

Back

Add 6 to both sides.

Front

What is the final step in solving the equation 5x - 8 = 32?

Back

Divide both sides by 5.

Front

How do you check the solution of a two-step equation?

Back

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

Front

What is the solution to the equation 8 = 4v + 12?

Back

v = -1.

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 purpose of solving two-step equations?

Back

The purpose is to find the value of the variable that makes the equation true.