Which algebraic equation models the English sentence, a number subtracted from 8 is equal to 4?
A. 8 − x = 4
B. x − 8 = 4
C. 8 − 4 = x
D. x − 4 = 8
Miss sue I don’t think they answers the question 😁
To model the English sentence "a number subtracted from 8 is equal to 4" with an algebraic equation, we can use the variable x to represent the unknown number.
In this sentence, "a number subtracted from 8" means we need to subtract x from 8. And "is equal to 4" means the result of the subtraction should be equal to 4.
Looking at the options:
A. 8 − x = 4
B. x − 8 = 4
C. 8 − 4 = x
D. x − 4 = 8
Option A (8 − x = 4) correctly represents the sentence since it subtracts x from 8 and equates the result to 4. Option B (x − 8 = 4) represents the equation for the opposite scenario (a number subtracted from 8 instead of subtracting from 8). Option C (8 − 4 = x) represents the equation for the result of the subtraction, not the subtraction itself. Option D (x − 4 = 8) represents a different scenario altogether.
Therefore, the correct algebraic equation that models the given sentence is A. 8 − x = 4.