The algebraic expression of the word expressing “subtract eight times of the number is from ten times of the number c is:
A. 10c – 8
B. 8c – 10
C. 10c + 8
D. 8 – 10c
The given statement describes the expression of subtracting eight times a number from ten times another number, represented by c.
To express this algebraically, we use the following format: “10 times the number c minus 8 times the number.”
Therefore, the correct expression is 10c – 8, as option A suggests. It represents the subtraction of eight times the number from ten times the number c.
Let’s explore the other options:
Option B, 8c – 10, represents the subtraction of ten from eight times the number c, which is not the correct expression according to the given statement.
Option C, 10c + 8, represents the addition of eight to ten times the number c, which is the opposite of the intended expression.
Option D, 8 – 10c, represents the subtraction of ten times the number c from eight, which is also the opposite of the intended expression.