IBEW algebra and functions questions
Formulas, equivalent expressions, number patterns, and what a formula does when a value changes.
Consider the formula P = 4Q − 3R. If Q equals 7 and R equals 5, what is the value of P?
What this type asks
The publisher describes this paper in one line — “a test of your ability to solve problems using algebra” — and the samples it prints show what that means in practice: substitute two values into a formula and read off the answer, decide which of four expressions is equivalent to a fifth, continue a number pattern, and say what happens to one side of a formula when the other side crosses a value. One year of high school algebra is a stated entry requirement, and this is the paper that checks it. Forty-six minutes for thirty-three items is not a sprint; the booklet says most applicants find they have plenty of time. What costs marks is arithmetic done in a hurry, because no calculator is allowed.
Now do it with the clock running.
33 questions in 46 minutes — 83.6 seconds each. That is electrical training ALLIANCE's own figure for this paper, which is timed on its own on the day. Sitting it to that clock is the part untimed practice cannot teach.
Take the timed Algebra and Functions paperThe other question types
Frequently asked
- How many algebra and functions questions are on the IBEW?
- 33 — and unusually, that is the publisher's own figure rather than an estimate. electrical training ALLIANCE publishes this paper as 33 items in 46 minutes, timed on its own, which works out at 83.6 seconds a question. The full-length run on this site is the same length for that reason.
- Is this section timed?
- Not on this page. These sets are for learning the type — each answer comes with an explanation straight away. When you want the clock, the full-length run is 33 questions in 46 minutes, which is 83.6 seconds a question.
- Are these real questions from the test?
- No. Every question here is original, written to the published format. The real item banks are confidential and nobody outside the publisher has them.
Sources
Every figure on this page comes from one of the documents below, with the day it was read. Requirements change — open the source if you need today's wording.
- electrical training ALLIANCE — Applying for Apprenticeship (applicant booklet: the test battery, retesting and what a score tells you) Read September 2, 2026
- electrical training ALLIANCE — Preparing for the Test (what each test measures, sample questions, answer key) Read September 2, 2026
- electrical training ALLIANCE — Apprenticeship Training (IBEW/NECA) Read September 2, 2026
Hiring Test Practice is independent practice material and is not affiliated with, endorsed by, or authorized by Criteria Corp, Wonderlic, Inc., National Testing Network, the electrical training ALLIANCE, the International Brotherhood of Electrical Workers, NECA, Biddle Consulting Group, Inc., Pearson Education, Inc. or its TalentLens business, the California Firefighter Joint Apprenticeship Committee or the Firefighter Candidate Testing Center, Fire and Police Selection, Inc., I/O Solutions, Inc., Ergometrics & Applied Personnel Research, Inc., the International Association of Fire Fighters or the International Association of Fire Chiefs. CCAT® is a registered trademark of Criteria Corp; Wonderlic® is a registered trademark of Wonderlic, Inc.; CritiCall is a trademark of Biddle Consulting Group, Inc.; Bennett Mechanical Comprehension Test is a trademark of Pearson Education, Inc.; FCTC and CPAT are used to name tests administered by others. Test names are used only to describe what this material prepares you for. Every question here is original and none is taken from any actual assessment. Cal-JAC and FCTC publish that materials supplied directly by them are the only authorized FCTC Written Test materials; this site is one of the outside sources that warning refers to, and it links their free study guide rather than reproducing it.