Solving Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables. It is often used to express one variable in terms of others.

Front

How do you solve for a variable in a literal equation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

Solve for T: B = T - Lc

Back

T = B + Lc

Front

Solve for b: P = a + (n - 1)b

Back

b = \frac{P - a}{n - 1}

Front

Solve for r: d = rt

Back

r = \frac{d}{t}

Front

Solve for r: T = p + prt

Back

r = \frac{T - p}{pt}

Front

Solve for x: y = mx + b

Back

x = \frac{y - b}{m}

Front

What is the first step in solving a literal equation?

Back

Identify the variable you want to isolate and determine which operations can be used to move other terms away from it.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve.

Front

What is the importance of rearranging equations?

Back

Rearranging equations allows us to express one variable in terms of others, which is essential in solving problems in algebra and real-world applications.