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. It often involves combining like terms, using the distributive property, and performing inverse operations.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

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

Back

The first step is to apply the distributive property: 3x + 8x - 8 = 3.

Front

What is the solution to the equation 3x - 7 = 32?

Back

The solution is x = 13.

Front

What inverse operation would you use to solve 6x = 36?

Back

You would use division to solve for x.

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

The solution is x = -1.

Front

How do you solve the equation 4 - 2(x - 3) = 24?

Back

First, distribute -2: 4 - 2x + 6 = 24, then combine like terms and isolate x.

Front

What does it mean to combine like terms?

Back

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

Front

What is an example of a multi-step equation?

Back

An example is 2(x + 3) - 4 = 10.