Solve the problem by combining like terms.
-The value of 8 dimes is 10 · 8 = 80 cents. Likewise, the value of x dimes is 10x cents. If George finds 4x - 2 nickels, 5x dimes, and x quarters in his change jar, express the total value of change in cents as an algebraic
Expression.
A)95x - 10 cents
B)95x + 10 cents
C)70x - 10 cents
D)95x - 2 cents

Question

Quizplus · Accepted Answer

First, convert each coin's value to cents and multiply by the quantity found: Nickels are worth 5 cents, so 4x - 2 nickels are worth (5)(4x - 2) = 20x - 10 cents. Dimes are worth 10 cents, so 5x dimes are worth (10)(5x) = 50x cents. Quarters are worth 25 cents, so x quarters are worth (25)(x) = 25x cents. Adding these values gives the total value in cents: (20x - 10) + 50x + 25x = 95x - 10 cents.

Solve the Problem by Combining Like Terms