AlgebraMediumA number plus its half
Algebra practice question
The sum of a number and half of that number is 24. What is the number?
Answer: 16
Let the number be x: x + x/2 = (3/2)x = 24, so x = 24 × 2/3 = 16. Check: 16 + 8 = 24.
Common wrong answers
- If you answered 8
- 8 is half of the answer — the 'half' part, not the number.
- If you answered 12
- 12 is 24/2, treating the sum as twice the number; it is one and a half times the number.
- If you answered 48
- 48 is 24 × 2, as if the number were twice the sum.
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.