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 move other terms to the opposite side of the equation.

Front

What is the first step in solving the equation 5x + 9 = 2x - 3?

Back

The first step is to subtract 2x from both sides to begin isolating x.

Front

If you have the equation 200 - 45v = 20, how do you solve for v?

Back

First, subtract 200 from both sides, then divide by -45 to find v.

Front

What does it mean to perform an operation on both sides of an equation?

Back

It means to apply the same mathematical operation to both sides to maintain equality.

Front

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

Back

x = -4.

Front

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

Back

You can substitute the solution back into the original equation to see if both sides are equal.

Front

What is the purpose of rearranging a literal equation?

Back

Rearranging a literal equation allows you to express one variable in terms of others, making it easier to solve for specific variables.

Front

What operation would you perform to both sides of the equation 5x + 9 = 2x - 3 to simplify it?

Back

You would subtract 2x from both sides.

Front

In the equation 200 - 45v = 20, what does v represent?

Back

v represents the number of video games purchased.