Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

How do you isolate a variable in an 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 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 maintain equality?

Back

The same operation must be performed on both sides of the equation to maintain equality.

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.

Front

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

Back

It means applying the same mathematical operation to both sides to keep the equation balanced.

Front

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

Back

x = -4.

Front

What is the value of any number raised to the power of 0?

Back

The value is 1.

Front

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

Back

Literal equations help to express relationships between variables, making it easier to solve for one variable in terms of others.

Front

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

Back

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