# Solve For A Variable In Terms Of Other Variables Worksheet

## 6 problems

Solving for a variable in terms of other variables involves rearranging an equation to express one variable by itself, with the rest of the variables on the opposite side. For example, in $$P = 4s$$, solving for $$s$$ in terms of $$P$$ gives s = \frac{P}{4}. This process clarifies how one variable depends on others, crucial for understanding relationships and making calculations in mathematics.

Algebra 2
Equations

## How Will This Worksheet on "Solve for a Variable in Terms of Other Variables" Benefit Your Student's Learning?

• It enhances their ability to manipulate equations and solve complex problems in mathematics and science.
• It helps them grasp how variables relate to each other within equations, fostering deeper conceptual understanding.
• This skill is essential for analyzing data and making predictions in physics, engineering, and economics.
• Mastering this topic prepares students for more advanced mathematics courses and practical applications in various professions.

## How to Solve for a Variable in Terms of Other Variables?

• Identify the variable we want to solve for and isolate it on one side of the equation.
• Use inverse operations (such as addition, subtraction, multiplication, and division) to move other variables to the opposite side of the equation.
• Ensure the equation remains balanced throughout the process by performing the same operations on both sides.
• Once isolated, express the variable in terms of the remaining variables to show its relationship within the equation.

## Solved Example

Q. Solve for $b$ in terms of $a$ and $c$.$\newline$$c = \frac{b}{a}$$\newline$$b =$______
Solution:
1. Multiply by $a$: We got $c = \frac{b}{a}$, so we need to get $b$ by itself on one side. Let's multiply both sides by $a$ to do that.$\newline$$c \cdot a = \frac{b}{a} \cdot a$
2. Simplify right side: Now, we simplify the right side by canceling out the $a$'s.$\newline$$c \times a = b$$\newline$So, $b=c \cdot a$

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