Question the-fu
1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
0:00
The function 
is defined as 
, where a is a constant. If 
, what is the value of a ?
A.
B.
C.
D.
The function is defined as , where a is a constant. If , what is the
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 C is correct. Substituting 4 for x in g(x) = 5x + a gives g(4) = 5(4) + a. Since g(4) = 31, the equation g(4) = 5(4) + a simplifies to 31 = 20 + a. It follows that a = 11.
Choices A, B, and D are incorrect and may result from arithmetic errors.
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