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# Question 9 of 18

beginning of content:

# M:N:MC:9

Tags:
SAT

Exam

PSAT/NMSQT

Exam

PSAT 10

Exam

Calculator: Not Permitted
Heart of Algebra

Subscore

In the equation above, what is the value of k?

No

Yes

No

No

Choice B is correct. Simplifying the numerators yields  and cross-multiplication gives  Solving for k yields

Choice A is not the correct answer. This value may result from not correctly applying the distributive property on the right-hand side, resulting in the expression  in the numerator. Correctly applying the distributive property yields  in the numerator.

Choice C is not the correct answer. This value may result from not correctly applying the distributive property on the left-hand side, resulting in the expression  Correctly applying the distributive property yields  in the numerator.

Choice D is not the correct answer. This value may result from not using the appropriate order of operations when simplifying either numerator.

Question Difficulty:
medium
Objective:

Students must solve an algebraic equation in one variable.