Multi Step Equations with Variables on Both Sides

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both sides of the equal sign, requiring manipulation to solve for the variable.

Front

What is the first step in solving the equation 9b + 1 = 2b + 29?

Back

Subtract 2b from both sides to begin isolating the variable.

Front

What is the solution to the equation 12k + 15 = 35 + 2k?

Back

k = 2.

Front

What is the goal of solving multi-step equations?

Back

To find the value of the variable.

Front

What operation would you perform to both sides of the equation 3y + 10.5 = 6.5 + 2.5y to isolate y?

Back

Subtract 2.5y from both sides.

Front

What is the solution to the equation -20y + 15 = 2 - 16y + 11?

Back

y = 1/2.

Front

What does 'combining like terms' mean?

Back

It means to add or subtract terms that have the same variable raised to the same power.

Front

What is the importance of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.