AlgebraMediumTwice a number less 7
Algebra practice question
Twice a number, decreased by 7, is equal to the number increased by 5. What is the number?
Answer: 12
Let the number be x: 2x − 7 = x + 5. Subtract x: x − 7 = 5, so x = 12. Check: 24 − 7 = 17 and 12 + 5 = 17.
Common wrong answers
- If you answered 2
- 2 is 12/6 or (7 − 5); the equation gives x = 12.
- If you answered 4
- 4 comes from 3x = 12 (adding x instead of subtracting it).
- If you answered -2
- −2 comes from 2x − 7 = x + 5 solved as x = 5 − 7; the 7 moves across as +7: x = 5 + 7.
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.