sat suite question viewer
Algebra
/ Linear functions
Difficulty: Easy
The function 
is defined as 
, where a is a constant. If 
, what is the value of a ?
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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.