Plant Operator Selection System Test Plant Operator Selection System Algebra and Formula Conversion 4 — Questions and Answers
Question 1: Solve for t: d = r × t, where d = 150 and r = 25.
- t = 4
- t = 5
- t = 6 (Correct answer)
- t = 7
Correct answer: t = 6
t = d ÷ r = 150 ÷ 25 = 6.
Question 2: Which expression equals 2(3x − 4) + x?
- 7x − 8 (Correct answer)
- 7x − 4
- 6x − 8
- 6x − 4
Correct answer: 7x − 8
Distribute: 6x − 8 + x = 7x − 8.
Question 3: A pressure formula is P = F/A. If F = 500 lbs and A = 25 in², what is P?
- 10 psi
- 15 psi
- 20 psi (Correct answer)
- 25 psi
Correct answer: 20 psi
P = 500 ÷ 25 = 20 psi.
Question 4: Solve the proportion: 3/8 = x/24
- x = 6
- x = 8
- x = 9 (Correct answer)
- x = 64
Correct answer: x = 9
Cross-multiply: 3 × 24 = 8x → 72 = 8x → x = 9.
Question 5: If a formula uses T = (R₁ + R₂)/2 and R₁ = 80 and R₂ = 60, what is T?
- 60
- 65
- 70 (Correct answer)
- 75
Correct answer: 70
T = (80 + 60) ÷ 2 = 140 ÷ 2 = 70.
Question 6: Convert: 2.5 gallons per minute to gallons per hour.
- 25 gph
- 60 gph
- 150 gph (Correct answer)
- 250 gph
Correct answer: 150 gph
2.5 gal/min × 60 min/hr = 150 gph.
Question 7: Solve for x: x/5 + 3 = 7
- x = 4
- x = 10
- x = 20 (Correct answer)
- x = 25
Correct answer: x = 20
Subtract 3: x/5 = 4, then multiply by 5: x = 20.
