literal equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains 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 perform algebraic operations such as addition, subtraction, multiplication, or division to get the variable on one side of the equation.

Front

What is the first step to solve for b in the equation A = 1/2 * b * h?

Back

The first step is to multiply both sides by 2 to eliminate the fraction, resulting in 2A = b * h.

Front

In the equation m = (x + y) / 2, how do you solve for x?

Back

Multiply both sides by 2 to get 2m = x + y, then subtract y from both sides to isolate x: x = 2m - y.

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 present.

Front

What is the formula for solving for a in the equation p = w/a?

Back

To solve for a, rearrange the equation to a = w/p.

Front

How do you solve for x in the equation a = 3y - x?

Back

Rearrange the equation to isolate x: x = 3y - a.

Front

What is the significance of dividing both sides of an equation by a variable?

Back

Dividing both sides by a variable helps to isolate that variable, but it is important to ensure the variable is not zero.

Front

What is the general approach to solving literal equations?

Back

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

Front

What is the first step in solving the equation r = pt?

Back

The first step is to divide both sides by t to isolate r.