AlgebraMediumProduct of two numbers from a sum and a weighted difference
Algebra practice question
The sum of two numbers is 25, and twice the first number minus the second number is 8. What is the product of the two numbers?
Answer: 154
a + b = 25 and 2a − b = 8. Adding: 3a = 33, a = 11, b = 14. Product = 154.
Common wrong answers
- If you answered 3
- 3 is b − a.
- If you answered 11
- 11 is the first number.
- If you answered 25
- 25 is 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.