Multi-Step Equations (Variables on Both Sides)

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 combining like terms, using the distributive property, and isolating the variable.

Front

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

Back

Having variables on both sides of an equation means that the variable appears in expressions on both the left and right sides of the equation, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in a multi-step equation?

Back

To isolate a variable, you can perform inverse operations to move terms involving the variable to one side of the equation and constant terms to the other side.

Front

What is the first step in solving the equation n - 4 = 1 - 2n + 4n?

Back

The first step is to combine like terms on the right side of the equation, simplifying it to n - 4 = 1 + 2n.

Front

What is the solution to the equation 6 + 3m = m + 5 + m?

Back

The solution is m = -1.

Front

How do you combine like terms in an equation?

Back

To combine like terms, you add or subtract coefficients of the same variable or constant terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

What is the solution to the equation 4p + 11 = 1 + 6p?

Back

The solution is p = 5.

Front

How do you check your solution in a multi-step equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation n + 4n = 6n + 3?

Back

The solution is n = -3.