EIAT Basic Algebra and Equations 4 — Questions and Answers
Question 1: Solve for k: 9 - 2k = 3
- 3 (Correct answer)
- 6
- 4
- 2
Correct answer: 3
Subtracting 9 from both sides: -2k = -6 → k = 3.
Question 2: A wire is cut into two pieces. One piece is 4 times longer than the other. The total length is 60 m. How long is the shorter piece?
- 12 m (Correct answer)
- 15 m
- 10 m
- 20 m
Correct answer: 12 m
Let shorter = x; x + 4x = 60 → 5x = 60 → x = 12 m.
Question 3: Evaluate 2x² - x when x = 3.
- 15 (Correct answer)
- 12
- 18
- 9
Correct answer: 15
2(3²) - 3 = 2(9) - 3 = 18 - 3 = 15.
Question 4: An elevator pit has depth d. If d + 1.2 = 2.7 m, what is d?
- 1.5 m (Correct answer)
- 1.3 m
- 1.7 m
- 1.2 m
Correct answer: 1.5 m
d = 2.7 - 1.2 = 1.5 m.
Question 5: If 3x + 2y = 22 and x = 4, find y.
- 5 (Correct answer)
- 4
- 6
- 7
Correct answer: 5
3(4) + 2y = 22 → 12 + 2y = 22 → 2y = 10 → y = 5.
Question 6: Solve for x: (x + 3)/4 = 5
- 17 (Correct answer)
- 13
- 23
- 7
Correct answer: 17
Multiplying both sides by 4: x + 3 = 20 → x = 17.
Question 7: A hoisting motor uses P kilowatts. After adding a 3 kW auxiliary load the total is 15 kW. Find P.
- 12 kW (Correct answer)
- 10 kW
- 13 kW
- 18 kW
Correct answer: 12 kW
P + 3 = 15 → P = 12 kW.
