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# Question 29 of 30

beginning of content:

# M:C:MC:22

Tags:
SAT

Exam

Calculator: Permitted

Subscore

If the expression  is written in the equivalent form  what is A in terms of x?

Yes

No

No

No

Choice A is correct. The form of the equation suggests performing long division on

Since the remainder 1 matches the numerator in  it is clear that

A short way to find the answer is to use the structure to rewrite the numerator of the expression as  recognizing the term in parentheses as a difference of squares, making the expression equal to  From this, the answer  is apparent. Another way to find the answer is to isolate A in the form  and simplify. As with the first approach, this approach also requires students to recognize  as a difference of squares that factors.

Choice B is not the correct answer. The student may have made a sign error while subtracting partial quotients in the long division.

Choice C is not the correct answer. The student may misunderstand how to work with fractions and may have tried the incorrect calculation

Choice D is not the correct answer. The student may misunderstand how to work with fractions and may have tried the incorrect calculation

Question Difficulty:
hard
Objective:

Students must transform a given expression into a more useful form (from improper to proper rational form).