AlgebraMediumGreatest integer width under a perimeter limit
Algebra practice question
A rectangle's length is 3 centimetres more than its width, and its perimeter is less than 50 centimetres. What is the greatest possible integer width, in centimetres?
Answer: 10
2(w + w + 3) < 50 → 4w + 6 < 50 → w < 11. The greatest integer is 10.
Common wrong answers
- If you answered 11
- 11 gives a perimeter of exactly 50, not less than 50.
- If you answered 13
- 13 is the length when the width is 10.
- If you answered 22
- 22 comes from 2w + 3 < 50, forgetting to double the width.
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.