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 variables on both sides.

Front

What is the first step in solving the equation 19 - 2k = 3k - 1?

Back

Combine like terms by moving all variable terms to one side.

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.

Front

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

Back

It means that the variable appears on both the left and right sides of the equation, requiring manipulation to solve.

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = -5.

Front

What is the importance of checking your solution in multi-step equations?

Back

To verify that the solution satisfies the original equation and to catch any errors made during solving.

Front

What is the first step to solve the equation -11 - 3x = 44 - 2x?

Back

Get the variables on one side by adding 3x to both sides.

Front

What is the solution to the equation 6x + 5 = 10 + 5x?

Back

x = 5.

Front

What does it mean to combine like terms?

Back

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

Front

What is the solution to the equation 3(a + 22) = 12a + 30?

Back

a = 4.