Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often used to express relationships between quantities.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you perform 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 + 9 = 2x - 3?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

What operation is performed to both sides of the equation to solve 5x + 9 = 2x - 3?

Back

Subtract 2x from both sides.

Front

If Tamara has $200 and spends $45 on each video game, how can we express the total spent in an equation?

Back

The equation can be expressed as 200 - 45v = 20, where v is the number of video games bought.

Front

What does the variable 'v' represent in the equation 200 - 45v = 20?

Back

In this equation, 'v' represents the number of video games Tamara bought.

Front

What is the solution to the equation 3x + 9 = -3?

Back

The solution is x = -4.

Front

What is the purpose of using literal equations in real-life scenarios?

Back

Literal equations help to model and solve problems involving relationships between different variables.

Front

How can you check if your solution to a literal equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the significance of inverse operations in solving equations?

Back

Inverse operations are used to undo operations performed on a variable, allowing you to isolate it.