Literal Equations

Front

Define a literal equation.

Back

A literal equation is an equation that contains two or more variables. 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 using inverse operations to move other terms to the opposite side of the equation.

Front

Solve for b: y = mx + b

Back

b = y - mx

Front

Solve for x: z = xy

Back

x = z/y

Front

Solve for y: 5x + y = 16

Back

y = -5x + 16

Front

Solve for a: a - b + c = 9

Back

a = b - c + 9

Front

Solve for r: I = prt

Back

r = I/(pt)

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 rearranging literal equations?

Back

Rearranging literal equations allows us to express one variable in terms of others, making it easier to solve for specific variables.

Front

Solve for m: y = mx + b

Back

m = (y - b)/x