College Entrance Exam Reviewer 7

College Entrance Exam Reviewer

Instructions:

Please answer each question to the best of your ability. Each question is multiple choice, and only one answer per question is correct. Select the most appropriate answer from the options provided.

When you have completed all questions, click the "Submit" button at the bottom of the page to see your score. Good luck!

1. Which of the following sentences is grammatically correct?

A) Each of the students have submitted their papers.
B) Each of the students has submitted his or her paper.
C) Each student submit their papers.
D) Every students has submitted their papers.

2. Solve: \( (3x - 4)(2x + 5) = 0 \)

A) \( x = \frac{5}{2} \text{ or } \frac{4}{3} \)
B) \( x = -\frac{5}{2} \text{ or } \frac{4}{3} \)
C) \( x = \frac{4}{3} \text{ or } -\frac{5}{2} \)
D) \( x = -\frac{4}{3} \text{ or } \frac{5}{2} \)

3. Which word correctly completes the analogy: "Ephemeral is to lasting as futile is to ____?"

A) Successful
B) Necessary
C) Fruitful
D) Forgetful

4. What is the value of the determinant of the matrix \( \begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix} \)?

A) -2
B) -2
C) 2
D) 6

5. Which of the following correctly describes a eukaryotic cell?

A) Lacks a nucleus
B) Contains membrane-bound organelles
C) Always unicellular
D) Has no mitochondria

6. The antonym of "obscure" is:

A) Hidden
B) Unknown
C) Clear
D) Cryptic

7. Simplify: \( \frac{2x^2 - 8}{x^2 - 4} \)

A) \( 2 \)
B) \( 2x \)
C) \( 2(x-2) \)
D) \( x+2 \)

8. What is the SI unit of electric current?

A) Volt
B) Coulomb
C) Ampere
D) Ohm

9. Choose the correctly punctuated sentence:

A) He said he was tired, and, he went home.
B) He said he was tired, and he went home.
C) He said, he was tired and he went home.
D) He said he was tired and, he went home.

10. In what year did the French Revolution begin?

A) 1789
B) 1776
C) 1815
D) 1804

11. Find the domain of \( f(x) = \frac{1}{x^2 - 9} \).

A) All real numbers
B) All real numbers except \( x = 3, -3 \)
C) All real numbers greater than 0
D) \( x \neq 0 \)

12. Which word best fits? "She gave a ____ glance at the clock, worried she might be late."

A) Perfunctory
B) Prolonged
C) Cursory
D) Tedious

13. The acceleration due to gravity on Earth is approximately:

A) \( 8.9 \, m/s^2 \)
B) \( 9.8 \, m/s^2 \)
C) \( 10.2 \, m/s^2 \)
D) \( 9.2 \, m/s^2 \)

14. Solve: \( \int 3x^2 dx \)

A) \( x^2 + C \)
B) \( x^3 + C \)
C) \( 3x^3 + C \)
D) \( 2x^2 + C \)

15. Which is an example of a heterogeneous mixture?

A) Saltwater
B) Air
C) Vinegar
D) Salad

16. Choose the correct form: "Neither the players nor the coach ____ satisfied."

A) Are
B) Is
C) Were
D) Be

17. Find the slope of the line passing through points (2,3) and (4,7).

A) 3
B) 2
C) 2
D) 5

18. Which of the following best defines 'osmosis'?

A) Movement of water across a semi-permeable membrane
B) Movement of solids across a membrane
C) Active transport of ions
D) Diffusion of gases only

19. Simplify: \( (2x+3)(2x-3) \)

A) \( 4x^2 - 9 \)
B) \( 4x^2 + 9 \)
C) \( 2x^2 - 9 \)
D) \( 2x^2 + 9 \)

20. Who wrote the play "Macbeth"?

A) Charles Dickens
B) William Shakespeare
C) Christopher Marlowe
D) John Milton

21. Solve for x: \( 5x + 2 = 3x + 8 \)

A) 5
B) 3
C) 6
D) 2

22. The mitochondrion is known as the ____ of the cell.

A) Powerhouse
B) Library
C) Gatekeeper
D) Brain

23. Choose the correct word: "I will ____ the invitation to the banquet."

A) Except
B) Accept
C) Exempt
D) Expect

24. Which planet is known as the "Red Planet"?

A) Mars
B) Venus
C) Jupiter
D) Mercury

25. If \( \log_2 x = 5 \), what is x?

A) 32
B) 25
C) 10
D) 8

26. A synonym for "exacerbate" is:

A) Improve
B) Simplify
C) Worsen
D) Lighten

27. What is the pH of a neutral solution at 25°C?

A) 7
B) 0
C) 14
D) 1

28. The opposite of "benevolent" is:

A) Loving
B) Generous
C) Malevolent
D) Helpful

29. Find the derivative of \( y = 5x^3 \).

A) \( 15x^2 + 5 \)
B) \( 15x^2 \)
C) \( 3x^2 \)
D) \( 5x^2 \)

30. What is the chemical symbol for potassium?

A) Po
B) P
C) K
D) Pt

Result

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