AlgebraMediumSessions at which two clubs cost the same
Algebra practice question
One club charges $5 per session but gives the first 2 sessions free. Another club charges a $4 joining fee plus $3 per session. For how many sessions is the total cost of the two clubs the same?
Answer: 7
5(x − 2) = 3x + 4 gives 5x − 10 = 3x + 4, so 2x = 14 and x = 7.
Common wrong answers
- If you answered 2
- 2 is the number of free sessions.
- If you answered 3
- 3 comes from 5x − 2 = 3x + 4, not distributing the 5.
- If you answered -3
- −3 comes from a sign error with −10.
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
Which of the following describes all solutions to 4x − 9 ≤ 2x + 5? - Medium
A phone's battery percentage is modeled by P = 100 − 8t, where t is the number of hours since it was unplugged… - Medium
If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
Not affiliated with the College Board. SAT is a trademark of the College Board.