Advanced MathEasy–MediumCoefficient left after subtracting a sum of squares
Advanced Math practice question
For all values of x, (x + 3)² − (x² + 9) = kx, where k is a constant. What is the value of k?
Answer: 6
(x + 3)² = x² + 6x + 9; subtracting x² + 9 leaves 6x.
Common wrong answers
- If you answered 0
- 0 assumes (x + 3)² equals x² + 9.
- If you answered 3
- 3 counts only one of the two 3x terms.
- If you answered 9
- 9 is the constant term, which cancels.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
Which expression is equivalent to (2x³)(3x⁴)? - Easy–Medium
What are the solutions to x² − 16 = 0? - Easy–Medium
Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.