Combining Like Terms Practice Question

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Question 2

Which of the following pairs are like terms:

Algebra expression

Answer

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Select and check your answer...

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

Step by Step Solution

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    Step 1

    The terms in I are like terms. This is because both terms have the same variable x2

    Three x square x square over 4
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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.

    2 x power of two y power of 3 3 y power of 3 x power of 2
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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).

    2 x power of two y power of 3 3 y power of 3 x power of 2
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    Step 4

    The terms in IV are like terms. This is because both terms have the same variable m.

    2 x power of two y power of 3 3 y power of 3 x power of 2
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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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