Literal Equations

Front

What is a literal equation?

Back

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

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you can use inverse operations to move other terms to the opposite side of the equation.

Front

What is the first step in solving the equation V = πr²h for h?

Back

The first step is to divide both sides of the equation by πr².

Front

In the equation 2m - n = 8, how do you solve for n?

Back

To solve for n, rearrange the equation to n = 2m - 8.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to express that variable in terms of the other variables in the equation.

Front

What is the formula for the volume of a cylinder?

Back

The formula for the volume of a cylinder is V = πr²h.

Front

How can you check if your solution for 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 rearranging equations in algebra?

Back

Rearranging equations allows you to express one variable in terms of others, which is essential for solving problems.

Front

What is the process to solve for x in the equation x = by + v?

Back

To solve for x, you simply identify that x is already isolated on one side of the equation.

Front

What is the relationship between variables in a literal equation?

Back

The relationship between variables in a literal equation shows how one variable depends on or is related to others.