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ALEKS Math Placement Exam – Complete Study Guide with Practice Questions and Correct Answers

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This document provides a comprehensive study guide for the ALEKS Math Placement Exam, featuring real practice questions with verified correct answers and detailed explanations. It covers all key math topics tested on the ALEKS assessment, including algebra, geometry, trigonometry, linear equations, functions, and statistics. Designed to help students strengthen foundational math skills, this guide supports effective preparation for college math placement and ensures a higher placement score.

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October 31, 2025
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ALEKS Math Placement Exam


1. Positive Number: Any number greater than zero
2. Negative Number: Any number less than zero
3. Whole Number: Any "counting number" or zero
4. Integer: The whole numbers and their opposites
5. Even Number: Any integer divisible by 2
6. Odd Number: Any integer not divisible by 2
7. Sum: The result of two numbers being added
8. Difference: The result of one number being subtracted by another
9. Product: The result of two numbers being multiplied
10. Quotient: The result of one number being divided by another
11. Factor: A number that is multiplied to form the product
12. Greatest Common Factor: The greatest whole number that is a factor of two or more numbers
13. Multiples: The product of a number and a counting number
14. Least Common Multiple: The least whole number that is a multiple of two or more numbers
15. Prime: A number greater than one whose only whole number factors are one and itself
16. Composite: A number greater than one with more than two whole number factors
17. Real: All positive and negative numbers and zero
18. Rational: Any number that can be expressed as the quotient of two integers
19. Irrational: Real numbers that are not rational
20. How to find Percent Increase or Decrease: Ditterence/Original = Percent Increase or Decrease
21. Exponents and Roots: pg. 33
22. Logarithms: pg. 35
23. Average Problems: Average x Number = Total
24. Simple Probability Problems: Outcomes giving desired result/Total possible outcomes
25. Conditional Probability: The probability of an event, given another event has already occurred.
Ex: The probability that a playing card from a standard deck is a 5, given that it is red, is 2/26.
26. Joint Probability: The probability of two events occurring at the same time.
Ex: The probability that a playing card from a standard deck is red and a 5 is 2/52.
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