Plant Operator Selection System Test Plant Operator Selection System Algebra and Formula Conversion 2 — Questions and Answers
Question 1: If Q = P × V and P = 4 and Q = 60, what is V?
- 12
- 15 (Correct answer)
- 18
- 240
Correct answer: 15
Divide both sides by P: V = Q ÷ P = 60 ÷ 4 = 15.
Question 2: Convert the formula F = (9/5)C + 32 to solve for C.
- C = (F − 32) × 5/9 (Correct answer)
- C = (F + 32) × 9/5
- C = F × 5/9 − 32
- C = (F − 32) × 9/5
Correct answer: C = (F − 32) × 5/9
Subtract 32 from both sides, then multiply by 5/9 to get C = (F − 32) × 5/9.
Question 3: Solve for x: 3x − 7 = 2x + 5
- x = 2
- x = 12 (Correct answer)
- x = −2
- x = 6
Correct answer: x = 12
Subtract 2x from both sides to get x − 7 = 5, then add 7: x = 12.
Question 4: If flow rate F = A × V, where A is cross-sectional area and V is velocity, what happens to F if V doubles while A stays the same?
- F is halved
- F stays the same
- F doubles (Correct answer)
- F quadruples
Correct answer: F doubles
Since F = A × V, doubling V while keeping A constant doubles F.
Question 5: Evaluate: 5(x + 3) − 2x when x = 4
- 25
- 27 (Correct answer)
- 29
- 23
Correct answer: 27
5(4+3) − 2(4) = 5(7) − 8 = 35 − 8 = 27.
Question 6: If a machine produces 3x + 2 units when x batches are run, how many units result from 6 batches?
- 18
- 20 (Correct answer)
- 22
- 24
Correct answer: 20
3(6) + 2 = 18 + 2 = 20 units.
Question 7: A pump formula gives P = 0.00436 × Q × H. If Q = 500 and H = 100, what is P?
- 218 (Correct answer)
- 2180
- 21.8
- 2.18
Correct answer: 218
P = 0.00436 × 500 × 100 = 0.00436 × 50,000 = 218.
Plant Operator Selection System Test Plant Operator Selection System Algebra and Formula Conversion 2
If Q = P × V and P = 4 and Q = 60, what is V?