Literal Equations

Front

What is a literal equation?

Back

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

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 8x + 4y = 16 for y?

Back

Subtract 8x from both sides to get 4y = -8x + 16.

Front

What is the solution for y in the equation 8x + 4y = 16?

Back

y = -2x + 4.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to manipulate the equation to express that variable in terms of the other variables.

Front

What is the solution for y in the equation 3x + y = 12?

Back

y = -3x + 12.

Front

How do you rearrange the equation 5x - y = 16 to solve for y?

Back

Add y to both sides and subtract 16 from both sides to get y = 5x - 16.

Front

What is the solution for y in the equation 5x - y = 16?

Back

y = 5x - 16.

Front

What is the formula for solving ax - b = c + d for x?

Back

x = (c + b + d) / a.

Front

What does the equation pV = nRT represent?

Back

It represents the ideal gas law, relating pressure (p), volume (V), number of moles (n), gas constant (R), and temperature (T).