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Algebra for the Electrical Apprenticeship Aptitude Test: What to Review Without a Calculator

Updated About 3 min read

The algebra part of the electrical training ALLIANCE aptitude test is 33 questions in 46 minutes, and you cannot use a calculator. Start with the free official sample questions, then drill the same kinds of problems by hand: solving simple equations, putting numbers into a formula, spotting equivalent expressions and finishing number patterns. Do your arithmetic on paper every time so test day feels normal.

What the official sample covers

The ALLIANCE sample page calls this a test of “your ability to solve problems using algebra.” Its sample items ask you to evaluate a formula, pick an equivalent expression, extend a number pattern, read what a formula means and match a table to a rule. Use the sample to see the style, then practice more of each type.

A review order for adults who left school years ago

  • Arithmetic first. Negative numbers, fractions and order of operations, all by hand.
  • One-step and two-step equations. Undo the operations in reverse order.
  • Formulas. Put the numbers in, then solve. Formulas such as P = 2L + 2W and V = I × R are good practice.
  • Patterns and tables. Find the rule, then check it on every row.

Many programs also ask for a year of high school algebra. San Antonio accepts an Algebra 1 credit or the ALLIANCE Tech Math course, so check your program’s rule before you apply.

Free tool: by-hand algebra practice

Work each question on paper with no calculator, type your answer and check. New questions are made at random. Nothing is saved.

Solve on paper, then type the answer.

Practice for the test and the interview

Books for algebra practice

Does a program on your list use the GAN test? If it names the GAN Aptitude Test Battery, the GAN Aptitude Test Practice Pack (US$29) has 10 full-length GAN-style practice tests with worked keys and a 14-day Personal Experience Form planner. The questions are original, not questions from the GAN test.

These books are independent and are not official ALLIANCE material. The official sample questions are free on the ALLIANCE site, linked in the sources.

Practical Algebra: A Self-Teaching Guide, 2nd Edition (Peter H. Selby)
A self-teaching algebra book. Useful if it has been years since your last algebra class.

As an Amazon Associate, Tsai Electro earns from qualifying purchases.

See Practical Algebra on Amazon

Electrician Apprentice Secrets Study Guide (Mometrix), IBEW aptitude test prep

See the Mometrix study guide on Amazon

Prices and stock change on Amazon, so check the listing before you buy.

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Sources

Book details come from each Amazon listing, checked October 16, 2026. Prices and editions change, so check the listing.

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Not a licensed Professional Engineer in Texas or any U.S. state. Does not offer engineering services. Exam-prep education only.