IBEW Aptitude Test Number Sequences and Functions Questions and Answers 2 — Questions and Answers

Question 1: If f(x) = 3x + 5, what is f(7)?

22
24
26 (Correct answer)
28

Correct answer: 26

f(7) = 3(7) + 5 = 21 + 5 = 26.

f(x) = 3x + 5. Substitute x = 7: f(7) = 3(7) + 5 = 21 + 5 = 26. Function evaluation is a key algebra skill on the IBEW NJATC aptitude test, as functions describe relationships between electrical quantities (e.g., power as a function of current).

Question 2: Find the next two terms: 4, 8, 16, 32, ___

48, 64
56, 72
64, 128 (Correct answer)
64, 96

Correct answer: 64, 128

Doubling sequence: 4, 8, 16, 32, 64, 128.

This geometric sequence has common ratio 2: 4×2=8, 8×2=16, 16×2=32, 32×2=64, 64×2=128. The next two terms are 64 and 128. Recognizing exponential growth patterns is important for understanding doubling in electrical calculations.

Question 3: If f(x) = x² - 4, find f(5).

17
19
21 (Correct answer)
25

Correct answer: 21

f(5) = 5² - 4 = 25 - 4 = 21.

f(5) = 5² - 4 = 25 - 4 = 21. Quadratic functions (involving x²) describe relationships like power (P = I²R) in electrical circuits. Evaluating such functions is directly applicable to electrical calculations.

Question 4: What is the pattern rule for: 1, 3, 7, 15, 31, 63?

Add consecutive odd numbers
Multiply by 2 and subtract 1
Multiply by 3 and subtract 2
Multiply by 2 and add 1 (Correct answer)

Correct answer: Multiply by 2 and add 1

Each term: ×2 + 1. Check: 1×2+1=3, 3×2+1=7, 7×2+1=15, 15×2+1=31, 31×2+1=63. Correct.

The rule is: multiply by 2 and add 1. 1→3→7→15→31→63 follows this pattern. This type of combined operation rule (×2 +1) tests your ability to identify multi-step patterns, a moderately advanced skill on IBEW aptitude tests.

Question 5: If g(x) = 2x² + 3x - 1, what is g(0)?

-3
-2
-1 (Correct answer)
0

Correct answer: -1

g(0) = 2(0)² + 3(0) - 1 = 0 + 0 - 1 = -1.

g(0) = 2(0²) + 3(0) - 1 = 0 + 0 - 1 = -1. When x=0, polynomial terms with x vanish, leaving only the constant term. This shortcut is useful for quickly evaluating functions at zero.

Question 6: What is the missing number in the sequence: 1, 4, 9, ___, 25, 36?

12
14
15
16 (Correct answer)

Correct answer: 16

These are perfect squares: 1², 2², 3², 4², 5², 6². The missing term is 4² = 16.

1=1², 4=2², 9=3², ___=4², 25=5², 36=6². The missing term is 4² = 16. Perfect-square sequences are a standard pattern recognition task on aptitude tests, testing both number sense and knowledge of squares.

IBEW Aptitude Test Number Sequences and Functions Questions and Answers 2

If f(x) = 3x + 5, what is f(7)?

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