ALEKS Practice Test 2024: Math Assessment Placement Exam: Try our free ALEKS Math Assessment Placement Review question. ALEKS scores of 30 or higher reflect adequate preparation for college-level math.

If you want to be placed into a higher-level course, you may use ALEKS learning modules to practice your skills and retake the assessment up to two additional times. The ALEKS assessment subscription is available to students for one year, and the scores will be valid for up to 18 months.

## What is ALEKS?

ALEKS is a proven online learning platform for Math and Chemistry that helps you get to know each student and provides the equitable support required for all students to succeed. In one solution, you can design and control your course with personalized learning to prepare students and your choice of adaptive and non-adaptive assignments and assessments that align with your approach. And, no matter your course format, with ALEKS actionable insights, you can intervene before it’s too late and have more time to create more lightbulb moments.

ALEKS (Assessment and LEarning in Knowledge Spaces) is the product of more than thirty years of research by software engineers, mathematicians, and cognitive scientists in applying Knowledge Space Theory. With support from the National Science Foundation, New York University, and the University of California, Irvine’s research efforts have been transformed into a ground-breaking artificial intelligence engine designed to improve student performance.

### ALEKS Math Assessment Placement Practice Test

In some universities, all incoming first-year students, including those who have already received AP math credit, must complete the ALEKS Mathematics Placement Assessment before attending orientation and enrolling in classes.

There will be a maximum of **30 open-ended questions** that take *60-90 minutes* to complete. None of the questions are multiple-choice. The exact number of questions will vary due to the adaptive mechanism of the assessment. Students who cannot answer many of the first questions may have a shorter assessment. If you encounter material you have not learned, you may answer, “I don’t know.” Do your best to answer each question.

**Q1. What is the area of a triangle with a base of 10 cm and a height of 6 cm?**

- (A) 20 \text{ cm}^2
- (B) 30 \text{ cm}^2
- (C) 40 \text{ cm}^2
- (D) 50 \text{ cm}^2
**Answer: (B)**

**Q2. What is the value of x in the equation 5x - 15 = 10?**

- (A) 5
- (B) 3
- (C) 25
- (D) 7
**Answer: (B)**

**Q3. Simplify: \frac{2}{3} + \frac{4}{5}**

- (A) \frac{22}{15}
- (B) \frac{13}{8}
- (C) \frac{20}{15}
- (D) \frac{10}{8}
**Answer: (A)**

**Q4. What is the derivative of x^3 + 5x^2 + 2x + 7 with respect to x?**

- (A) 3x^2 + 10x + 2
- (B) 3x^2 + 5x + 2
- (C) x^3 + 2x
- (D) 3x^2 + 5x + 7
**Answer: (A)**

**Q5. What is the value of x if x^2 - 9x + 14 = 0?**

- (A) 2, 7
- (B) 3, 7
- (C) 1, 7
- (D) 3, 5
**Answer: (D)**

**Q6. If the sides of a cube are doubled, how many times the original volume is the new volume?**

- (A) 2 times
- (B) 4 times
- (C) 6 times
- (D) 8 times
**Answer: (D)**

**Q7. Simplify: \sqrt{49}**

- (A) 5
- (B) 6
- (C) 7
- (D) 8
**Answer: (C)**

**Q8. Convert 45^\circ to radians.**

- (A) \frac{\pi}{4}
- (B) \frac{\pi}{3}
- (C) \frac{\pi}{6}
- (D) \frac{\pi}{2}
**Answer: (A)**

**Q9. What is the integral of 3x^2?**

- (A) x^3 + C
- (B) x^2 + C
- (C) x^3 + 3x + C
- (D) \frac{x^3}{3} + C
**Answer: (A)**

**Q10. If the probability of event A is 0.2, what is the probability of the complement of A?**

- (A) 0.1
- (B) 0.2
- (C) 0.8
- (D) 0.5
**Answer: (C)**

**Q11. What is the slope of the line represented by the equation 2y = 4x + 6?**

- (A) 2
- (B) 1
- (C) \frac{1}{2}
- (D) -2
**Answer: (C)**

**Q12. Evaluate: 7^2 - 3^3**

- (A) 16
- (B) 20
- (C) 28
- (D) 10
**Answer: (A)**

**Q13. What is the circumference of a circle with a radius of 4 cm? Use \pi = 3.14.**

- (A) 25.12 \text{ cm}
- (B) 12.56 \text{ cm}
- (C) 8 \text{ cm}
- (D) 6.28 \text{ cm}
**Answer: (A)**

**Q14. Factor the expression: x^2 - 5x + 6**

- (A) (x-3)
- (B) (x-6 )
- (C) (x+3)
- (D) (x+6)
**Answer: (A)**

**Q15. How many solutions does the system of equations y = 2x + 1 and y = 2x - 3 have?**

- (A) One
- (B) Two
- (C) None
- (D) Infinite
**Answer: (C)**

**Q16. Simplify: \frac{16}{64}**

- (A) \frac{1}{3}
- (B) \frac{1}{4}
- (C) \frac{1}{2}
- (D) \frac{1}{5}
**Answer: (B)**

**Q17. What is the area of a rectangle with a length of 8 m and width of 5 m?**

- (A) 40 \text{ m}^2
- (B) 13 \text{ m}^2
- (C) 30 \text{ m}^2
- (D) 20 \text{ m}^2
**Answer: (A)**

**Q18. What is the volume of a cylinder with radius 3 cm and height 10 cm? Use \pi = 3.14.**

- (A) 282.6 \text{ cm}^3
- (B) 94.2 \text{ cm}^3
- (C) 141.3 \text{ cm}^3
- (D) 188.4 \text{ cm}^3
**Answer: (A)**

**Q19. If x is directly proportional to y and x = 10 when y = 5, what is the value of x when y = 8?**

- (A) 16
- (B) 12
- (C) 14
- (D) 20
**Answer: (A)**

**Q20. What is the Pythagorean triple that includes the numbers 8 and 15?**

- (A) 8, 15, 17
- (B) 8, 15, 16
- (C) 8, 15, 18
- (D) 8, 15, 19
**Answer: (A)**

**Q21. What is the standard form of the equation of a line passing through the point (1, -3) and having a slope of 2?**

- (A) y = 2x - 5
- (B) y = 2x + 5
- (C) y = 2x - 3
- (D) y = 2x + 1
**Answer: (A)**

**Q22. What is the result of 15 \div 3 \times (2 + 1)?**

- (A) 15
- (B) 20
- (C) 25
- (D) 30
**Answer: (A)**

**Q23. A circle has a diameter of 10 inches. What is its area? Use \pi = 3.14.**

- (A) 31.4 \text{ in}^2
- (B) 78.5 \text{ in}^2
- (C) 157 \text{ in}^2
- (D) 314 \text{ in}^2
**Answer: (B)**

**Q24. Simplify the expression: 5(2x - 3) - 4(x + 5)**

- (A) 6x - 35
- (B) 6x + 35
- (C) 6x - 15
- (D) 10x - 35
**Answer: (A)**

**Q25. Which expression is equivalent to a^3 \cdot a^2?**

- (A) a^5
- (B) a^6
- (C) 2a^5
- (D) a^{1/5}
**Answer: (A)**

**Q26. What is the median of the data set 3, 7, 9, 13, and 21?**

- (A) 7
- (B) 9
- (C) 13
- (D) 21
**Answer: (B)**

**Q27. If f(x) = 3x + 7, what is f(-1)?**

- (A) 4
- (B) 10
- (C) 0
- (D) -4
**Answer: (A)**

**Q28. How many degrees are in one interior angle of a regular octagon?**

- (A) 135^\circ
- (B) 145^\circ
- (C) 150^\circ
- (D) 160^\circ
**Answer: (A)**

**Q29. Simplify: <a rel="noreferrer">latex</a>^3 **

- (A) x^7
- (B) x^{12}
- (C) 3x^{12}
- (D) x^{13}
**Answer: (B)**

**Q30. What is the sum of the angles of a triangle?**

- (A) 180^\circ
- (B) 360^\circ
- (C) 90^\circ
- (D) 270^\circ
**Answer: (A)**

### ALEKS Exam

The ALEKS Assessment covers a broad range of material, from basic Algebra to Precalculus. Students can subscribe for one year, and their scores will be valid for up to 18 months.

Test Name | ALEKS |

Test type | adaptive test |

Purpose | to determine the appropriate math course for a student to take based on his/her prerequisite knowledge. |

Total question | 30 questions |

question type | a single question with no options |

time limit | 90 minutes to 120 minutes |

ALEKS score | immediate |

re-take chance | Yes |

Score validity | 12 months |

Test cost | $40 per student |

**Topics covered:**

- Real numbers (including fractions, integers, and percentages)
- Equations and inequalities (including linear equations, linear inequalities, systems of linear equations, and quadratic equations),
- Linear and quadratic functions (including graphs and functions, linear functions, and parabolas), exponents and polynomials (including integer exponents, polynomial arithmetic, factoring, and polynomial equations), rational expressions (including rational equations and rational functions
- Radical expressions (including higher roots and rational exponents)
- Exponentials and logarithms (including function compositions and inverse functions, properties of logarithms, and logarithmic equations)
- Geometry and trigonometry (including perimeter, area, volume, coordinate geometry, trigonometric functions, and identities and equations).

### ALEKS Score

The score will be visible in CaneLink within 48 hours of completing the assessment. If the desired placement is not achieved, the ALEKS Prep and Learning Modules will be available to review, learn the material, re-take the assessment, and improve your ALEKS score. The scores must be reflective of your current mathematical knowledge. Therefore, the scores are valid for 12 months.

### Retaking the Math Placement Assessment

Retake of the assessment is highly encouraged at least one other time. You have up to three attempts on the Placement Assessment. However, before retaking the assessment, you must practice your learning modules. To access your modules for the first time, you must log back into your ALEKS account as if you will take the test again. You cannot access your third attempt until you log three hours or more of Prep and Learning module work between the second and third attempts.

**Resources**

**See also:**

- Equations and Inequalities
- Exponents
- Probability
- Mean Median Mode
- Ratio
- Percentages
- Algebraic Expressions
- Fractions and Decimals
- Integers
- Pre-Algebra
- Rational Numbers
- Average
- Age