In the Philippines, the Registered Electrical Engineers Licensure Examination includes a critical component focused on Mathematics, with Algebra playing a significant role in the test. Algebra is fundamental for electrical engineers as it forms the basis for more advanced topics in engineering studies, such as circuit analysis, signal processing, and control systems. The examination assesses a candidate's ability to solve problems using algebraic principles such as functions, complex numbers, matrices, and determinants.
A strong grasp of Algebra not only aids in navigating through electrical engineering concepts but also enhances problem-solving efficiency which is crucial during the exam. The Algebra section is designed to test the analytical skills necessary to interpret data and solve real-world engineering problems effectively. Preparing for this section involves a thorough understanding of algebraic operations, theory, and application, which is vital for success in the licensure examination and future professional practice.
Electrical Engineers - Mathematics Algebra PRACTICE REVIEWER
Welcome to our Electrical Engineers - Mathematics Algebra Practice Examination! In this session, you'll have the opportunity to test your understanding of key concepts in Electrical Engineers - Mathematics Algebra. The quiz consists of multiple-choice questions covering various topics. Pay close attention to each question and select the best answer. After completing the exam, check the video below for the answer key and explanations.
1. What is the value of x in the equation 3x - 7 = 20?
A) 9
B) 9.5
C) 9.67
D) 9.75
2. Which of the following is the solution to the inequality 2x + 5 < 13?
A) x > 4
B) x < 4
C) x > 6
D) x < 6
3. What is the simplified form of (x^2 + 3x - 4) ÷ (x + 4)?
A) x - 1
B) x + 1
C) x - 4
D) x + 4
4. If 2x + 3y = 12 and x - y = 4, what is the value of x?
A) 3
B) 4
C) 5
D) 6
5. What is the solution to the equation 4(2x - 3) = 5x + 6?
A) x = 2
B) x = 3
C) x = 4
D) x = 5
6. Which of the following represents the equation of a line parallel to the line y = 2x + 3?
A) y = 2x - 5
B) y = 3x - 2
C) y = -2x + 5
D) y = -3x - 2
7. What is the value of x in the equation log(x) = 2?
A) x = 100
B) x = 10
C) x = 1/100
D) x = 1/10
8. If f(x) = 3x^2 - 4x + 2, what is the value of f(2)?
A) 2
B) 4
C) 6
D) 8
9. Which of the following is the solution to the equation |2x - 5| = 9?
A) x = -2
B) x = 2
C) x = 7/2
D) x = 14/3
10. What is the product of the roots of the quadratic equation x^2 - 5x + 6 = 0?
A) 6
B) -6
C) 5
D) -5
11. If x^2 - 4x + k is a perfect square trinomial, what is the value of k?
A) 4
B) 6
C) 9
D) 16
12. Which of the following represents the complex conjugate of 3 - 2i?
A) 3 + 2i
B) -3 - 2i
C) -3 + 2i
D) 2 - 3i
13. What is the solution set of the inequality 2x^2 - 5x + 3 > 0?
A) 𝑥∈(−∞,1)∪(1,∞)
B) 𝑥∈(−∞,1)∪(3,∞)
C) 𝑥∈(−∞,3)∪(3,∞)
D) 𝑥∈(−∞,0)∪(3,∞)
14. If f(x) = x^3 - 3x^2 + 2x + 4, what is the degree of the polynomial?
A) 2
B) 3
C) 4
D) 5
15. Which of the following represents the solution to the equation √(2x + 3) = 5?
A) x = 11
B) x = 22
C) x = 22/2
D) x = 22/9
16. What is the sum of the solutions to the equation x^2 - 7x + 10 = 0?
A) 7
B) -7
C) 10
D) -10
17. If 2x + 3y = 10 and 3x - y = 5, what is the value of y?
A) 1
B) 2
C) 3
D) 4
18. Which of the following represents the solution to the equation log(x^2) = 3?
A) x = 10
B) x = 100
C) x = 1000
D) x = 10000
19. What is the value of x in the equation 2(x - 4) = x + 3?
A) x = 7
B) x = 8
C) x = 9
D) x = 10
20. If x^2 - 6x + 9 = 0, what is the value of x?
A) 3
B) 4
C) 5
D) 6
WATCH THE VIDEO FOR THE ANSWER KEY AND EXPLANATION
Congratulations on completing the Electrical Engineers - Mathematics Algebra Exam! Stay tuned for more practice online reviewer and educational content to further enhance your understanding of various learning areas.
