Question which-

2.4 Equivalent Expressions - Simplifying polynomials
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Which expression is equivalent to 9x2+7x2+9x?

A.

63 x 4 + 9 x

B.

9 x 2 + 16 x

C.

25 x 5

D.

16 x 2 + 9 x

Which expression is equivalent to 9 x 2 + 7 x 2 + 9 x ?

Medium-difficulty · SAT Math · Equivalent Expressions — Simplifying polynomials. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. In the given expression, the first two terms, 9x2 and 7x2, are like terms. Combining these like terms yields 9x2+7x2, or 16x2. It follows that the expression 9x2+7x2+9x is equivalent to 16x2+9x.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.