Solving 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 y = mx + b for x?

Back

The first step is to subtract b from both sides of the equation.

Front

In the equation d = rt, how do you solve for r?

Back

To solve for r, divide both sides of the equation by t, giving r = d/t.

Front

What does the variable 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does the variable 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept of the line.

Front

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

Back

To solve for l, divide both sides of the equation by wh, giving l = V/(wh).

Front

What is the formula for solving for y in the equation cy = 10?

Back

To solve for y, divide both sides of the equation by c, giving y = 10/c.

Front

What is the importance of rearranging equations in algebra?

Back

Rearranging equations allows us to express one variable in terms of others, which is essential for solving problems.

Front

What is the general strategy for solving literal equations?

Back

The general strategy involves identifying the variable to isolate, using inverse operations, and rearranging the equation accordingly.