3B: Equations with Variables on Both Sides

Front

What is the goal of solving equations with variables on both sides?

Back

The goal is to find the value of the variable.

Front

What is a one-step equation?

Back

A one-step equation is an equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

What is a two-step equation?

Back

A two-step equation requires two operations to isolate the variable.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation if possible, by combining like terms.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you solve an equation with variables on both sides?

Back

You can solve it by moving all terms containing the variable to one side and constant terms to the other side.

Front

What is the importance of checking your solution after solving an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value.

Front

What does it mean to have no solution in an equation?

Back

No solution means that there is no value for the variable that can satisfy the equation.