Sample Problem

Allie wants to take dance lessons at a studio over the summer. It costs a flat fee of $50 to use the studio’s facilities, then an additional $20 for each lesson. If Allie has $210, which inequality correctly describes how many lessons Allie can take within her budget (x is the number of lessons that Allie takes) ?


210 is Allie’s budget, and her total cost (studio fee + lessons) must be equal to or less than this value. Her total cost can be expressed by 50 + 20x, so the correct inequality would be expressed by 210 ≥ 50 + 20x.