How do you rearrange equations to solve for a specific variable?

Thread starter LTutay
Start date Aug 9, 2010

In summary, the purpose of rearranging equations is to manipulate and solve for specific variables. This can be done using basic arithmetic operations and algebraic properties. If there are multiple variables, they can be solved for one at a time. Rearranging equations should not change the solution as long as valid operations and algebraic rules are followed. Common mistakes include not applying operations to both sides, not following the correct order of operations, and making careless errors. It is important to double-check and be mindful of the steps taken when rearranging equations.

Aug 9, 2010

LTutay

Homework Statement

d=vt+1/2 xt^2 This equation must be rearranged so that the answer is in x= form

Homework Equations

The Attempt at a Solution

d/vt=1/2 xt^2

2 d/vt=xt^2

this is as far as i got. Is it correct so far?

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Aug 9, 2010

Integral

Staff Emeritus

Science Advisor

Gold Member

No.

vt needs to be subtracted from each side, not divided.

What is the purpose of rearranging equations?

The purpose of rearranging equations is to solve for a specific variable or to manipulate the equation into a more convenient form for solving a problem.

How do I rearrange equations?

To rearrange an equation, you can use the four basic arithmetic operations (addition, subtraction, multiplication, and division) to move terms to different sides of the equation. You can also use algebraic properties and rules to simplify and manipulate the equation.

What should I do if I have multiple variables in an equation?

If you have multiple variables in an equation, you can rearrange the equation to solve for one variable at a time. Start by isolating one variable on one side of the equation and then move on to the next variable, repeating the process until you have solved for all the variables.

Can rearranging equations change the solution?

Rearranging equations can change the way the solution is written, but it should not change the actual solution. As long as you use mathematically valid operations and follow the rules of algebra, the solution should remain the same.

What are some common mistakes when rearranging equations?

Some common mistakes when rearranging equations include not applying the same operation to both sides of the equation, forgetting to use the correct order of operations, and making careless errors in simplification. It is important to double-check your work and be mindful of the steps you are taking to rearrange the equation.