Solving for a Variable in a Formula: Isolating g in A = 3πg

Q1. Solve for g in the equation A = 3\pi g.

Background

Topic: Solving Literal Equations (Formulas)

This question is testing your ability to isolate a specific variable (g) in a formula. This is a common skill in intermediate algebra, where you manipulate equations to solve for one variable in terms of others.

Key Terms and Formulas

• Literal equation: An equation involving two or more variables.

• Isolate: To get the variable you want by itself on one side of the equation.

• Equation given: $A = 3\pi g$

Step-by-Step Guidance

1. Start with the given equation: $A = 3\pi g$

2. To solve for $g$, you need to get $g$ by itself on one side of the equation. Notice that $g$ is being multiplied by $3\pi$.

3. To undo the multiplication, divide both sides of the equation by $3\pi$:

   $\frac{A}{3\pi} = \frac{3\pi g}{3\pi}$

4. Simplify the right side so that $g$ is isolated.

Try solving on your own before revealing the answer!