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 can use inverse operations to move other terms to the opposite side of the equation.

Front

What is the first step in solving the equation 2m - n = 8 for n?

Back

The first step is to rearrange the equation to isolate n, which gives n = 2m - 8.

Front

In the equation ax - 5 = b, how do you solve for a?

Back

To solve for a, rearrange the equation to get a = (b + 5) / x.

Front

What does it mean to solve for a variable?

Back

Solving for a variable means expressing that variable in terms of the other variables or constants in the equation.

Front

How can you check if your solution for a literal equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution for x in the equation u = 2x - 2?

Back

The solution for x is x = (u / 2) + 1.

Front

How do you solve for a in the equation u = (ak) / b?

Back

To solve for a, rearrange the equation to get a = (ub) / k.

Front

What is the solution for s in the equation -2 = 4r + s?

Back

The solution for s is s = -2 - 4r.

Front

What is the importance of rearranging equations in algebra?

Back

Rearranging equations is important because it allows you to isolate variables and solve for them effectively.