3
AssignmentMultiple Choice

Simplifying Algebraic Expressions

Question 3 • Algebraic Reasoning TSI 26-27 Supplemental Wk3

Did June identify the correct like terms? Check the correct statement.

Answer
A
June correctly identified the like terms.
B
3y and y are not like terms because the coefficients are different.
C
June is missing the like terms –x2y and –4xy.
D
–x2y and 2xy2 are not like terms because the variables are not raised to the same powers.

Explanation

Like terms must have the same variables raised to the same powers; their coefficients may differ. In –x²y, x is squared and y is to the first power, while in 2xy², x is to the first power and y is squared. Therefore, –x²y and 2xy² are not like terms, so statement D is correct.

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