Title: Diagnostic Evaluation
Course: 2025 Probabilidad y Estadística

Q: Multiply.
(–9xy)(2x^3y^2)(xy^4)
- –6x^5y^7 (Incorrect)
- –18x^3y^8 (Incorrect)
- 18x^5y^7 (Incorrect)
- –18x^5y^7 (Correct)
- 18x^3y^8 (Incorrect)
A: –18x^5y^7

Q: Simplify: [Image].
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Divide: [Image].
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Multiply: [Image].
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Factor: [Image].
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Factor: [Image].
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Factor.
u(3v– 8) – 9(8 – 3v)
- (u + 9)(3v– 8) (Correct)
- (u + 9)(8 – 3v) (Incorrect)
- (u– 9)(8 – 3v) (Incorrect)
- (u– 9)(3v– 8) (Incorrect)
- (u– 9)(3v + 8) (Incorrect)
A: (u + 9)(3v– 8)

Q: Factor: [Image].
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Factor: [Image].
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- Nonfactorable over the integers (Incorrect)
A: [Image]

Q: Factor: [Image].
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- Nonfactorable over the integers (Incorrect)
A: [Image]

Q: Factor: [Image].
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- Nonfactorable over the integers (Correct)
A: Nonfactorable over the integers

Q: Factor: [Image].
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- Nonfactorable over the integers (Incorrect)
A: [Image]

Q: Factor: [Image].
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- Nonfactorable over the integers (Incorrect)
A: [Image]

Q: Solve: [Image].
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- No solution (Incorrect)
A: [Image]

Q: Number Sense. The sum of the squares of two consecutive positive integers is one hundred thirteen. Find the two integers.
- 11, 12 (Incorrect)
- 5, 6 (Incorrect)
- 9, 10 (Incorrect)
- 7, 8 (Correct)
- 8, 9 (Incorrect)
A: 7, 8

Q: Sports. The formula [Image] gives the number, N, of football games that must be scheduled in a league with t teams if each team is to play every other team once. How many teams are in a league that schedules 45 games in such a way that each team plays every other team once?
- 14 (Incorrect)
- 8 (Incorrect)
- 10 (Correct)
- 9 (Incorrect)
- 12 (Incorrect)
A: 10

Q: Solve using the quadratic formula.
   [Image]
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- no real number solution (Incorrect)
A: [Image]

Q: Solve using the quadratic formula. Approximate the solutions to the nearest thousandth.
   [Image]
- –1.405, 6.405 (Incorrect)
- –6.405, 1.405 (Correct)
- –4.158, –0.842 (Incorrect)
- –12.810, 2.810 (Incorrect)
- no real number solution (Incorrect)
A: –6.405, 1.405