Model and Solve Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, such as 2x + 3 = x + 5.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 3x = x + 8?

Back

Subtract x from both sides to get 2x = 8.

Front

What is the solution to the equation 2x - 2 = -x - 8?

Back

x = 3.

Front

How do you check if your solution is correct?

Back

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

Front

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

Back

n = -2.

Front

What does it mean to model a situation with an equation?

Back

To represent a real-world scenario using a mathematical equation that describes the relationship between variables.

Front

What is the importance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is the solution to the equation 3x + 8 = x?

Back

x = -4.