Translate the sentence into algebraic symbols. The difference between thirty and twice a number is two.
A) (30 - 2)x = 2
B) (30 - x) 2 = 2
C) 30 - 2x = 2
D) 30 (2 - x) = 2
E) 2 - 30x = 2

Question

Translate the sentence into algebraic symbols. The difference between thirty and twice a number is two.
A) (30 - 2)x = 2 
B) (30 - x) 2 = 2 
C) 30 - 2x = 2 
D) 30 (2 - x) = 2 
E) 2 - 30x = 2

Quizplus · Accepted Answer

Let the number be represented by x. Then, the difference between thirty and twice the number is 30 - 2x. The sentence says this expression is equal to two, so we can write the equation: 
30 - 2x = 2 
Simplifying, we can solve for x: 
28 = 2x 
x = 14 
Therefore, the number is 14.

Translate the Sentence into Algebraic Symbols