Multi-step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 7x = 3x + 24?

Back

The first step is to subtract 3x from both sides to get all terms containing x on one side.

Front

What is the solution to the equation 7x = 3x + 24?

Back

The solution is x = 6.

Front

How do you solve the equation -11 - 5a = 6(5a + 4)?

Back

First, distribute the 6 on the right side, then combine like terms and isolate a.

Front

What is the solution to the equation -11 - 5a = 6(5a + 4)?

Back

The solution is a = -1.

Front

What is the process to solve the equation 7m + 8 = 71?

Back

Subtract 8 from both sides, then divide by 7 to isolate m.

Front

What is the solution to the equation 7m + 8 = 71?

Back

The solution is m = 9.

Front

How do you solve the equation 14p - 8 = 22 + 20p?

Back

First, move all terms involving p to one side and constant terms to the other side.

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

The solution is p = -5.