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Math – Word Sentences











































Using complete sentences, describe the student error in the following solution:

The product of 4 and a number is 12 more than 92. What is the number?

Incorrect solution:

4n+12=92

4n=80

n=20

The number is 20.

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Mar 10, 2011
Math - Word Sentences
by: Staff


The question:

Using complete sentences, describe the student error in the following solution:

The product of 4 and a number is 12 more than 92. What is the number?

Incorrect solution:

4n+12=92

4n=80

n=20

The number is 20.




The answer:

First, let’s solve the problem.

The product of 4 and a number is 12 more than 92. What is the number?

It will be easier to see what is has been asked if you rewrite the sentence as follows:

4 times a number is 12 more than 92. What is the number?

Substitute a multiplication sign (*) for “times”, substitute the variable n for “a number”, substitute an equal sign (=) for “is”, and substitute a plus sign (+) for “more than”.

4*n = 12 + 92

(this could also be written: 4*n = 92 + 12)

4n = 104

4n/4 = 104/4

n = 26

The number is 26


Using complete sentences, describe the student error.

The student made the following error when writing the equation.

The student placed the +12 on the left side of the equation instead of the right side. The +12 should be placed on the right side of the equation.




Thanks for writing.


Staff
www.solving-math-problems.com



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