Manipulating Functions and Solving Equations for Different Variables


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question 1 of 3

Which equation is NOT equivalent to 2x + 4y = 6?

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Manipulate the following equation to isolate the y variable.

x - 3y = 12


Solve the following equation for c.

2a - 3b + c - 3 = 6a + 4b - 12

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About This Quiz & Worksheet

Manipulating functions and solving equations for different variables requires that you understand how to maintain uniform changes on each side of the equation. This quiz and worksheet will help you test your ability to maintain this balance. The practice questions test you on your ability to manipulate functions and to solve equations with multiple variables.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Manipulating equations to isolate a given variable
  • Solving equations with multiple variables
  • Solving equations that require manipulation

Skills Practiced

This quiz and worksheet will test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on manipulating functions and solving equations for different variables
  • Making connections - use your understanding of the concept of inverses to ensure you know how to perform the same operations on both sides of an equation
  • Problem solving - use your acquired knowledge to manipulate and solve practice equations

Additional Learning

To learn more about manipulating functions and solving equations for different variables, review the accompanying lesson on this topic. This lesson covers the following objectives:

  • Describe the process of manipulating a function
  • Describe the process of solving equations for multiple variables
  • Understand how to maintain balance on both sides of an equation while isolating a given variable
  • Work through several examples related to these equations