Question b-42-c

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
0:00

b = 42 c f

The given equation relates the positive numbers b , c , and f . Which equation correctly expresses c in terms of b and f ?

A.

c = b 42 f

B.

c = b - 42 f

C.

c = 42 b f

D.

c=42-b-f

b = 42 c f The given equation relates the positive numbers b , c ,

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. It's given that the equation b=42cf relates the positive numbers b , c , and f . Dividing each side of the given equation by 42 f yields b42f=c, or c=b42f. Thus, the equation c=b42f correctly expresses c in terms of b and f .

Choice B is incorrect. This equation can be rewritten as b=cf+42.

Choice C is incorrect. This equation can be rewritten as b=c42f.

Choice D is incorrect. This equation can be rewritten as b=42-c-f.