Variables and expressions Transitional Reasoning Download PDF

Questions

1. 1.

   A youth athletic club calculates weekly training points for teams participating in an obstacle course challenge. Each athlete receives a baseline award of 40 points, plus 6 points for each completed climbing lap, $c$, and 8 points for each completed balance sprint. In this challenge, every athlete on a 5-member team completes $c$ climbing laps and exactly 3 more balance sprints than climbing laps. Which expression represents the total number of points earned by the entire 5-member team?

   • A) $70c + 200$
   • B) $70c + 320$
   • C) $14c + 64$
   • D) $70c + 224$
2. 2.

   A local science club orders customized activity kits for an astronomy event. Each individual kit includes one observation notebook priced at 5 and \(m\) printed star maps priced at2 each. The company also adds a one-time flat delivery fee of $12 for the entire shipment. Which algebraic expression represents the total cost, in dollars, of ordering $k$ such kits?

   • A) $2m + 5k + 12$
   • B) $k(2m + 5) + 12$
   • C) $12k + 2m + 5$
   • D) $k(2m + 12) + 5$