Combining Like Terms Practice Question

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Algebra expression
Question 2
Which of the following pairs are like terms:

Answer

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A.  All of the above
B.  I, III and IV
C.  I, II and IV
D.  I, II and III
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Step by Step Solutions 

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Step 1
The terms in I are like terms. This is because both terms have the same variable x2
x square over 4
Three x square
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Step 2
The terms in II are like terms. This is because these terms have the same variable x2 and y3 even though both variables are written in a different order.

3 y power of 3 x power of 2
2 x power of two y power of 3
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Step 3
The terms in III are unlike terms. This is because these terms have variables with different exponent (i.e. power).
3 y power of 3 x power of 2
2 x power of two y power of 3
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Step 4
The terms in IV are like terms. This is because both terms have the same variable m
3 y power of 3 x power of 2
2 x power of two y power of 3
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Step 5
The terms in I, II and IV are likes terms. Clearly, the answer is C.
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