Question

Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r
𝑝
𝑥
+
𝑞
=
𝑟
.

Answer 1

Let x = number of games last season.
"7 games fewer than 2 times" gives 2x − 7 = 15, so p = 2, q = −7, r = 15.

Solve: 2x − 7 = 15 → 2x = 22 → x = 11.