Linear Equations Word Problems

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Linear equations are a very commonly used concept in Algebra. Linear equations play a very important role in the most general cases in math as it simply requires solving them to find the unknown variable. So these linear equations can be simply put in the form of a word problem, and then we should solve for the variable by performing calculations. Word problems first require a good reading and an understanding of what is given and what is asked, and then it becomes very simple to solve for the unknown.
 
Example 1: Given, 6 more than an unknown number is equal to 15. Find that unknown number.
Let the unknown number be = x
In order to answer this, we need to translate the question to math terms.
‘6 more than an unknown number’ implies x + 6
So the given question means: x + 6 = 15
Solving for ‘x’ ==> x + 6 - 6 = 15 – 6
So, x = 15 – 6 ==> x = 9
Therefore, the unknown number is 9.
 
Example 2: Given, the difference between a number and 12 is -7. Find the unknown number.
Let the unknown number be = x
In order to answer this, we need to translate the question to math terms.
‘Difference between a number and 12’ implies x - 12
So the given question means: x – 12 = -7
Solving for ‘x’ ==> x – 12 + 12 = -7 + 12
So, x = 5 ==> x = 5
Therefore, the unknown number is 5.

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