Translate the sentence into algebraic symbols. If nineteen is added to the product of a number and sixteen, the sum is 66.
A) 19 + x = 66 - 16
B) 19 + x + 16 + x = 66
C) 16x + 19 = 66
D) 19 + x + 16 = 66
E) 19(16 + x) = 66

Question

Quizplus · Accepted Answer

Let x be the unknown number. Then the sentence can be translated as 16x + 19 = 66. This is because "the product of a number and sixteen" is 16x, and "nineteen is added to the product of a number and sixteen" can be written as 16x + 19. Finally, "the sum is 66" means that the left-hand side of the equation must be equal to 66. Therefore, the best choice is C.

Translate the Sentence into Algebraic Symbols