Advanced MathHardBoth roots of a quadratic with no linear term, in a word frame
Advanced Math practice question
Four times the square of a positive number is 49. What is the number?
Answer: 3.5 or 7/2
4n² = 49, so n² = 49/4 and n = 7/2 = 3.5.
Common wrong answers
- If you answered 7
- 7 takes the square root of 49 without dividing by 4 first.
- If you answered 12.25
- 12.25 is n² (49/4), not n.
- If you answered 1.75
- 1.75 is 7/4, dividing by 4 after taking the root instead of before.
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.