Literal Equations

Front

What is 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

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you perform inverse operations to move other terms to the opposite side of the equation.

Front

What is the first step to solve the equation A - B = C for A?

Back

Add B to both sides of the equation to isolate A: A = C + B.

Front

In the equation y = mx + b, how do you solve for b?

Back

Subtract mx from both sides to isolate b: b = y - mx.

Front

What is the first step to solve the formula P = rt for P?

Back

The first step is to divide each side by rt to isolate P.

Front

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

Back

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

Front

What is the first step to solve the formula for r in the equation P = rt?

Back

Divide both sides by t to isolate r: r = P/t.

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

What is an example of a literal equation?

Back

An example of a literal equation is A = B + C, where A, B, and C are variables.

Front

How do you solve for y in the equation Ax + y = B?

Back

Subtract Ax from both sides to isolate y: y = B - Ax.