Plant Operator Selection System Test Plant Operator Selection System Algebra and Formula Conversion 5 — Questions and Answers
Question 1: In the formula W = F × d, if W = 200 ft·lbs and d = 8 ft, what is F?
- 20 lbs
- 25 lbs (Correct answer)
- 30 lbs
- 40 lbs
Correct answer: 25 lbs
F = W ÷ d = 200 ÷ 8 = 25 lbs.
Question 2: Which value of x satisfies 2x + 5 = x − 3?
- x = 2
- x = −8 (Correct answer)
- x = 8
- x = −2
Correct answer: x = −8
Subtract x: x + 5 = −3, then subtract 5: x = −8.
Question 3: If C = 2πr and r = 7 (use π ≈ 3.14), what is C?
- 21.98
- 43.96 (Correct answer)
- 87.92
- 153.86
Correct answer: 43.96
C = 2 × 3.14 × 7 = 6.28 × 7 = 43.96.
Question 4: A concentration formula gives C = (S/V) × 1000. If S = 0.35 and V = 7, what is C?
- 0.05
- 5
- 50 (Correct answer)
- 500
Correct answer: 50
C = (0.35 ÷ 7) × 1000 = 0.05 × 1000 = 50.
Question 5: Rearrange KE = ½mv² to solve for m.
- m = 2KE/v² (Correct answer)
- m = KE/(2v²)
- m = 2KE × v²
- m = KE × v/2
Correct answer: m = 2KE/v²
Multiply both sides by 2 and divide by v²: m = 2KE/v².
Question 6: Simplify the expression: 4(2x + 3) − (3x − 5)
- 5x + 17 (Correct answer)
- 5x + 7
- 11x + 7
- 11x + 17
Correct answer: 5x + 17
Expand: 8x + 12 − 3x + 5 = 5x + 17.
Question 7: If a pump operates at 75% efficiency and uses 40 hp input, what is the output horsepower?
- 25 hp
- 30 hp (Correct answer)
- 35 hp
- 53 hp
Correct answer: 30 hp
Output = 0.75 × 40 = 30 hp.
