Establishing an Equation | Steps on Setting Up Equations | How to make an Equation from a Word Problem?

Formulas and equations play an important role in solving basic to advanced mathematical problems. Each and every concept covered in middle and high school maths subject deals with equations & formulas. Having proper knowledge about them is the best way to understand the equations-related concepts. Changing the Subject of a Formula is the best chapter for the students to learn completely Establishing an Equation, subject of the formula, Framing a formula, etc.

Kids who are getting confused about how to make an equation from the given math statement? how to frame a formula? can look at the steps for setting up equations from context problems available in this article. Just dive into this page and gain proper knowledge on how to establish an equation from a word problem.

Establishing an Equation or Framing of a Formula

The relation between variables expressed by equality or inequality in the math statement context is defined as a formula. Whereas, the algebraic expression expressed by equality is called Equation.

Establishing an equation holds a few simple steps. by following those simple points you can easily frame a formula or equation. So, go through the below module and get some idea about the steps to establish an equation.

Steps on How to Establish an Equation?

  1. To establish an equation, firstly, you should know that the variables of the context are symbolized by a, x, A, X, etc.
  2. Now, you need to utilize or apply the context-related laws or conditions to frame equality (or inequality) between the variables.
  3. Finally, we find the formula for the given context or math statement.

Examples on Framing a Formula or Equation

Example 1:
Assume a sum of $ P is spent in a bank at a simple interest rate of r% per annum for a time period of n years. After ending the n years what amount of $ A is achieved.

We know that the context of the word problem is kind of arithmetic.
Amount = Principal + Interest.
As we are aware; Interest = \(\frac { Principal × Rate × Time }{ 100 } \)
Hence, A = P + \(\frac { P×r×n }{ 100 } \)
Finally, this is the formula or equation framed from the given context.

Example 2:
If the mathematical statement is Amount (A) is equal to the subtraction of the Interest (I) and Principal (P) then establish an equation.

From the given context, the equation or formula that can be framed is A = I – P.

Example 3:
Thrice a number is 90. Find the equation and the value of the number.

We know that a number multiplied by three (thrice) equals 90. Here, x can be taken as an unknown number.
The equation is written as:
3x= 90
Now, calculate the value of x ie.,
x = 90 ÷ 3
x = 30
Hence, the value of the number x is 30.

FAQs on Setting Up Equations

1. What is a formula?

A formula is nothing but an equation that expresses a relationship between two or more qualities utilizing literals and symbols.

2. What is the definition of the equation in maths?

A simple statement with two expressions, one on each side of an equal sign in math is known as an equation.

3. What are the basic steps to set up an equation?

  • Read what the question is asking.
  • Draft the relevant data in simple statements.
  • Assign symbols to unknown values that need to be found.
  • Discover how the statements are associated with each other mathematically.

4. How do you explain an equation?

5. What are the 4 steps to solve an equation?

Adding, Substracting, multiplication, and division are the four major ways to solve one-step equations.

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