Advanced MathHardDividing by a reciprocal
Advanced Math practice question
For x ≠ 0, which expression is equivalent to (3/x + 2) ÷ (1/x)?
- A. 2x + 3Correct
- B. 3x + 2
- C. 5x
- D. 3/x² + 2/x
Answer: A. 2x + 3
Dividing by 1/x multiplies by x: (3/x)(x) + 2x = 3 + 2x.
Why the other answers are wrong
- B. 3x + 2
- This multiplies the wrong term by x.
- C. 5x
- This multiplies both terms by x and adds the coefficients.
- D. 3/x² + 2/x
- This divides by x instead of multiplying.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.