Literal Equations

Front

What is a literal equation?

Back

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

Front

What is the first step to solve for y in the equation y = mx + b?

Back

Subtract Ax from each side.

Front

How do you isolate the variable b in the equation y = mx + b?

Back

Rearrange the equation to get b = y - mx.

Front

What is the first step to solve for r in the equation r = P/t?

Back

Divide each side by t.

Front

How do you solve for P in the equation P = rt?

Back

Multiply both sides by rt.

Front

What is the first step to solve for t in the equation P = rt?

Back

Divide both sides by r.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of solving literal equations?

Back

The purpose is to express one variable in terms of others, which is useful in various applications such as physics, economics, and engineering.

Front

What is the general strategy for solving literal equations?

Back

The general strategy involves using inverse operations to isolate the desired variable.

Front

What is an example of a literal equation in physics?

Back

An example is the equation for distance: d = rt, where d is distance, r is rate, and t is time.