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Equivalent expressions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

Which expression is equivalent to $9 x^{2} + 5 x$ ?

ExplanationShow

Choice A is correct. Since $x$ is a factor of each term in the given expression, the expression is equivalent to $x (9 x) + x (5)$ , or $x (9 x + 5)$ .

Choice B is incorrect. This expression is equivalent to $45 x^{2} + 5 x$ , not $9 x^{2} + 5 x$ .

Choice C is incorrect. This expression is equivalent to $9 x^{2} + 45 x$ , not $9 x^{2} + 5 x$ .

Choice D is incorrect. This expression is equivalent to $9 x^{3} + 5 x^{2}$ , not $9 x^{2} + 5 x$ .

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Equivalent expressions SAT question

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