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 solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation -(n - 8) = -2?

Back

The first step is to distribute the negative sign, resulting in n - 8 = 2.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of subtraction?

Back

Addition.

Front

What is the first step in solving the equation 3x + 2(4x - 4) = 3?

Back

The first step is to distribute the 2, resulting in 3x + 8x - 8 = 3.

Front

How do you combine like terms in the equation 3x + 8x - 8 = 3?

Back

Combine 3x and 8x to get 11x - 8 = 3.

Front

What is the solution to the equation 11x - 8 = 3?

Back

The solution is x = 1.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to move all terms involving the variable to one side and constants to the other.

Front

What is the solution to the equation -124 = 4(1 + 8k)?

Back

The solution is k = -4.