Literal Equations

Front

Define 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 in solving a literal equation for a specific variable?

Back

Identify the variable you want to solve for and isolate it on one side of the equation.

Front

Solve for H: V = LWH

Back

H = V / (LW)

Front

Solve for c: A = h(b + c)

Back

c = (A/h) - b

Front

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

Back

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

Front

Solve for x: 3x + 5 = 20

Back

x = (20 - 5) / 3 = 5

Front

What is the purpose of rearranging a literal equation?

Back

Rearranging a literal equation allows us to express one variable in terms of others, which is useful in various applications.

Front

Solve for b: A = h(b + c)

Back

b = (A/h) - c

Front

What is a common mistake when solving literal equations?

Back

A common mistake is forgetting to perform the same operation on both sides of the equation, which can lead to incorrect solutions.

Front

Solve for y: 2y - 3x = 6

Back

y = (6 + 3x) / 2