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Sometimes we are given a formula, such as something from geometry, and we need to solve for some variable other than the "standard" one. For instance, the formula for the perimeter P of a square with sides of length s is P = 4s. We might need to solve this equation for s because we have a lot of squares' perimeters, and we want to plug those perimeter values into one formula and have that formula (maybe in our graphing calculator) spit out the value for the length of each square's side. This process of solving a formula for a specified variable is called "solving literal equations".

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Jase Heidi Bice

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Q: How is transforming a formula similar to solving an equation with just one variable?
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Related questions

How is solving for a specified variable in a formula similar to finding a solution for an equation or inequality?

With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.


What is the difference between a formula and an equation in math?

Both words are used in similar ways, but strictly speaking, a formula is an expression, and an equation is a statement that two expressions are equal. An equation has an equals sign in it.


How many roots does a quadratic equation in one variable have?

A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.


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How is writing an equation to represent a situation involving two variables similar to writing an equation to represent a situation involving only one variable?

An equation with only one variable has only one letter used in it, and that letter is usually an "x" An equation having two variables will have two different letters representing them, usually the letters "x" and "y" The first type could be the equation 5x^3 - 3x^2 + 6x - 50 = 0 The second type could be (x +y)^2 - 7x^3 + 12x = 58.8 1 equations with only 1 variable are usually much easier to solve than an equation with 2 variables, and you cannot solve the latter unless you have two separate equations containing the two variables.


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Numbers that have the same variable or powers of a variable, such as 2x and 6x.


Translate this problem to an equation and solve The sum of the squares of two consecutive positive even numbers is 20?

Call the first variable x, then the next one will be x+1. Your equation is thus: x2 + (x+1)2 = 20. Your next steps would be to open the parentheses for (x+1) squared; add similar terms; and solve the quadratic equation.


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Terraforming is transforming a planet into one that is similar to Earth (so that an ecosystem in which humans can survive will sustain itself).


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These two are both similar because they are both expressions.


How are linear equations similar or different from functions?

A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.


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