Literal Equations

Front

Define a literal equation.

Back

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

Front

What is the first step to solve for a variable in a literal equation?

Back

Isolate the variable you want to solve for by performing inverse operations on both sides of the equation.

Front

Solve for n: 2m - n = 8

Back

n = 2m - 8

Front

Solve for r in the equation C = 2πr.

Back

r = \frac{C}{2\pi}.

Front

Given 8x + 4y = 16, solve for y.

Back

y = -2x + 4.

Front

Solve ax - 5 = b for a.

Back

a = \frac{(b + 5)}{x}.

Front

Given ax - b = c, solve for x.

Back

x = \frac{c + b}{a}.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

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 and engineering.

Front

What is an example of a literal equation in geometry?

Back

The formula for the circumference of a circle, C = 2πr, is a literal equation.