Write the algebraic expression described.
-The value of 8 dimes is 10 · 8 = 80 cents. Likewise, the value of x dimes is 10x. If George finds 4x - 2 nickels, 6x dimes, and x quarters in his change jar, express the total value of change in cents as an
Algebraic expression.
A) (80x - 10) cents
B) (105x - 2) cents
C) (105x - 10) cents
D) (105x + 10) cents

Question

Quizplus · Accepted Answer

The total value is calculated as follows: Nickels are worth 5 cents each, so 4x - 2 nickels are worth 5(4x - 2) = 20x - 10 cents. Dimes are worth 10 cents each, so 6x dimes are worth 10(6x) = 60x cents. Quarters are worth 25 cents each, so x quarters are worth 25x cents. Adding these gives the total value: (20x - 10) + 60x + 25x = 105x - 10 cents.

Write the Algebraic Expression Described