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 one variable in terms of others.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on 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 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 to find v.

Front

What does it mean to perform operations 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 = -12?

Back

The solution is x = -4, found by dividing both sides by 3.

Front

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

Back

The value of any non-zero number raised to the power of 0 is 1.

Front

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

Back

Literal equations help to model 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.