Multi Step Solving 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 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

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

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 on one side.

Front

What is the first step in solving the equation 5x - 2 = x + 26?

Back

The first step is to get all terms containing the variable x on one side and constant terms on the other side.

Front

Solve for x: 5x - 2 = x + 26

Back

x = 7

Front

What is the solution to the equation n + 2 = -14 - n?

Back

n = -8

Front

How do you check if your solution to an equation is correct?

Back

By substituting the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 11x - 44 = 9x - 20?

Back

x = 12

Front

What does it mean to combine like terms in an equation?

Back

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

Front

What is the distributive property?

Back

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