Plant Operator Selection System Test Plant Operator Selection System Algebra and Formula Conversion 3

Question 1

Solve for r in the formula A = πr².

Accepted Answer

r = √(A/π)

Answer

Divide both sides by π, then take the square root: r = √(A/π).

Question 2

If 4x + 12 = 0, what is x?

Accepted Answer

−3

Answer

4x = −12, so x = −3.

Question 3

A tank's volume formula is V = L × W × H. If V = 1,200, L = 10, and W = 6, what is H?

Accepted Answer

20

Answer

H = V ÷ (L × W) = 1,200 ÷ 60 = 20.

Question 4

Simplify: (3x² × 2x³)

Accepted Answer

6x⁵

Answer

Multiply coefficients (3 × 2 = 6) and add exponents (2 + 3 = 5): 6x⁵.

Question 5

Convert 45 feet per minute to feet per hour.

Accepted Answer

2,700 ft/hr

Answer

45 ft/min × 60 min/hr = 2,700 ft/hr.

Plant Operator Selection System Test Practice Test