Equivalent expressions and the distributive property Transitional Reasoning Practice

Questions

1. 1.

   A science museum sells entrance packages that include an exhibit pass and an omnitheater screening. The standard price for one package is $12a + 20$ dollars, but school groups receive a special seasonal discount of $4a - 8$ dollars per package. If an academy orders 6 discounted packages for a class trip, which expression represents the total cost, in dollars, of the order?

   • A) $48a + 168$
   • B) $48a + 72$
   • C) $96a + 72$
   • D) $48a + 28$
2. 2.

   A community center prepares identical activity bins for 5 workshop rooms. Each bin contains $3x + 4$ markers and $2x - 1$ colored pencils, where $x$ represents the number of student groups in a room. Which expression is equivalent to the total number of drawing tools provided across all 5 rooms?

   • A) $25x + 15$
   • B) $25x + 3$
   • C) $10x + 15$
   • D) $5x + 15$

Answers and step-by-step solutions appear after you finish the test.