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Question

If 4a+4a+1=4a+2−176, what is the value of a?

A
2
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B
1
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C
3
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D
4
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Solution

The correct option is C 2
The key to this problem is to express all of the exponential terms of the greatest common factor of the terms: 4a. Using the addition rule (or the corresponding numerical examples), we get
4a+4a+1=4a+2176
176=4a+24a4a+1
176=4a×(42)4a4a.(41)
176=4a×(424041)
176=4a×(1614)
176=4a×(11)
4a=176÷11=16
a=2

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