# WRITING A VERBAL DESCRIPTION OF A TWO STEP EQUATION

Verbal description of a two step equation is nothing but writing a real world situation for the given two-step equation.

Example 1 :

Write a corresponding real-world problem to represent 5x + 50 = 120.

Solution :

Step 1 :

Analyze what each part of the equation means mathematically.

x is the solution of the problem, the quantity we are looking for.

5x means that, for a reason given in the problem, the quantity we are looking for is multiplied by 5.

+ 50 means that, for a reason given in the problem, 50 is added to 5x.

= 120 means that after multiplying the solution x by 5 and adding 50 to it, the result is 120.

Step 2 :

Think of some different situations in which a quantity x might be multiplied by 5.

You have x number of books, each weighing 5 pounds, and you want to know their total weight.

or

You save \$5 each week for x weeks and want to know the total amount you have saved.

Step 3 :

Build on the situation and adjust it to create a verbal description that takes all of the information of the equation into account.

• A publisher ships a package of x number of books each weighing 5 pounds, plus a second package weighing 50 pounds. The total weight of both packages is 120 pounds. How many books are being shipped ?

• Leon receives a birthday gift of \$50 from his parents and decides to save it. Each week he adds \$5 to his savings. How many weeks will it take for him to save \$120 ?

Example 2 :

Write a corresponding real-world problem to represent 40 + 12m  =  460.

Solution :

Step 1 :

Analyze what each part of the equation means mathematically.

m is the solution of the problem, the quantity we are looking for.

12m means that, for a reason given in the problem, the quantity we are looking for is multiplied by 12.

+ 40 means that, for a reason given in the problem, 40 is added to 5x.

= 460 means that after multiplying the solution m by 12 and adding 40 to it, the result is 460.

Step 2 :

Think of a situation in which a quantity m might be multiplied by 12.

You are paying m dollars per month to a metro gym and you want to know how much you pay for one year.

Step 3 :

Build on the situation and adjust it to create a verbal description that takes all of the information of the equation into account.

A one-year membership to Metro Gym costs \$460. There is a fee of \$40 when you join, and the rest is paid monthly. How much you will pay monthly for the yearlong membership ? Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

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Algebra word problems

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Word problems on unit price

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Converting customary units word problems

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Word problems on average speed

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Percentage shortcuts

Times table shortcuts

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Ratio and proportion shortcuts

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Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

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