Literal Equations

Front

What is a literal equation?

Back

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

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you need to 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 12am = 4 for a?

Back

The first step is to divide both sides of the equation by 12m to isolate a.

Front

What is the solution for a in the equation 12am = 4?

Back

a = 1/(3m).

Front

How do you solve for x in the equation x = by + v?

Back

To solve for x, you simply rearrange the equation to express x in terms of y and v.

Front

What is the formula for x when given mx + 4y = 3t?

Back

x = (3t - 4y)/m.

Front

How do you solve for l in the equation V = lwh?

Back

To solve for l, divide both sides by wh: l = V/(wh).

Front

What is the formula for x when given the equation y = mx + b?

Back

x = (y - b)/m.

Front

What is the importance of rearranging equations in algebra?

Back

Rearranging equations allows you to solve for specific variables and understand the relationships between different quantities.

Front

What does it mean to 'solve for a variable'?

Back

To 'solve for a variable' means to manipulate an equation to express that variable in terms of other variables or constants.