Solve for x: 4x + 5 = 33
Answer in (no unit).
Show the answer
7 (no unit)
Subtract 5 from both sides: 4x = 28. Divide both sides by 4: x = 7. Check: 4 × 7 + 5 = 33.
Reference: Two-step linear equations
Electrical Apprenticeship Aptitude Test Practice (Algebra & Reading)
Algebra and functions plus reading comprehension, the two parts of the aptitude test used for electrical apprenticeship entry.
Mixed practice test
10 questions, graded as you go, with the reason for every answer. No sign-up.
Timed mock exam
50 questions in 60 minutes, drawn from every topic. No answers shown until the end, then a score, your weakest topics and a review of what you missed.
Practise by topic
- Equations 32 questions
- Exponents roots 25 questions
- Functions 27 questions
- Polynomials 25 questions
- Reading 24 questions
- Series 18 questions
- Word problems 25 questions
Sample questions
Which of these powers has the greatest value?
- 3^3
- 5^2
- 10^1
- 2^5
Show the answer
D. 2^5
2^5 = 32, 3^3 = 27, 5^2 = 25 and 10^1 = 10, so 2^5 is the largest. A bigger base does not guarantee a bigger value; the exponent matters as much.
Reference: Comparing powers
If f(x) = x² − 3x, what is f(−2)?
Answer in (no unit).
Show the answer
10 (no unit)
Replace x with −2: (−2)² − 3(−2) = 4 + 6 = 10.
Reference: Function notation; evaluating with negative inputs
Add: (3x² + 2x − 5) + (x² − 6x + 9)
- 4x² + 8x + 4
- 4x² − 4x + 4
- 3x⁴ − 4x + 4
- 4x² − 4x − 14
Show the answer
B. 4x² − 4x + 4
Add like terms: 3x² + x² = 4x², 2x − 6x = −4x, and −5 + 9 = 4. Adding x² terms does not raise the exponent, so 3x⁴ is not correct.
Reference: Adding polynomials
Read the passage, then answer the question. PASSAGE: At Harlow Electric, no one opens a panel until the circuit feeding it has been shut off, locked, and tested. Each electrician carries a personal lock with a single key. When several people work on the same equipment, each one adds a lock, and the equipment cannot be re-energized until every lock has been removed by the person who placed it. Last spring a supervisor, eager to finish before a deadline, asked an apprentice to remove a co-worker's lock because the co-worker had gone to lunch. The apprentice refused and called the co-worker back to the site. The company later used the incident in its training as an example of the rule working exactly as intended. QUESTION: What is the passage mainly about?
- A supervisor who was disciplined for missing a job deadline
- The reasons apprentices should not be allowed to open panels
- A lock rule that protects workers, and one time it was tested
- How electricians should choose and care for their personal locks
Show the answer
C. A lock rule that protects workers, and one time it was tested
The passage first explains the company's lock rule and then tells how the rule held up when a supervisor tried to get around it. Nothing says the supervisor was disciplined or that the deadline was missed, so that choice adds facts the passage does not contain.
Reference: Reading comprehension: main idea
Exams this helps with
| Exam | Who runs it | Where |
|---|---|---|
| Electrical apprenticeship aptitude test (algebra and reading) ready | Electrical Training Alliance (IBEW/NECA) | United States |
| Apprenticeship aptitude (math, mechanical, spatial, reading) ready | Unions, NJATC, UA, carpenters | United States |