Advanced MathMediumSum of two simplified fractions
Advanced Math practice question
For x ≠ 0, which expression is equivalent to (x² + 3x)/x + (2x − 4)/2?
- A. 2x + 1Correct
- B. 2x + 5
- C. x + 1
- D. 2x − 1
Answer: A. 2x + 1
The first fraction simplifies to x + 3 and the second to x − 2, and their sum is 2x + 1.
Why the other answers are wrong
- B. 2x + 5
- This adds 3 and 2 instead of 3 and −2.
- C. x + 1
- This forgets the x from the second fraction.
- D. 2x − 1
- This subtracts 3 from −2 wrongly.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.