Plant Operator Selection System Test Plant Operator Selection System Algebra and Formula Conversion 2

Question 1

If Q = P × V and P = 4 and Q = 60, what is V?

Accepted Answer

15

Answer

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.

Accepted Answer

C = (F − 32) × 5/9

Answer

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

Accepted Answer

x = 12

Answer

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?

Accepted Answer

F doubles

Answer

Since F = A × V, doubling V while keeping A constant doubles F.

Question 5

Evaluate: 5(x + 3) − 2x when x = 4

Accepted Answer

27

Answer

5(4+3) − 2(4) = 5(7) − 8 = 35 − 8 = 27.

Plant Operator Selection System Test Practice Test