Solve For A Variable In Terms Of Other Variables Worksheet

Algebra 2
Equations

Total questions - 6

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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 bb in terms of aa and cc.\newlinec=bac = \frac{b}{a}\newlineb=b = ______
Solution:
  1. Multiply by aa: We got c=bac = \frac{b}{a}, so we need to get bb by itself on one side. Let's multiply both sides by aa to do that.\newlineca=baac \cdot a = \frac{b}{a} \cdot a
  2. Simplify right side: Now, we simplify the right side by canceling out the aa's.\newlinec×a=bc \times a = b\newlineSo, b=cab=c \cdot a
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About Worksheet

Algebra 2
Equations

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.

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