ALEKS Cheat Sheet 2026

The 30 highest-yield ALEKS facts, distilled from real exam questions. Print it, save it as a PDF, or study it here — free, no sign-up.

1. What is the period of y = sin(2x)? → π
2. What is the greatest common factor (GCF) of 36 and 48? → 12
3. Which of the following best describes the 'learning mode' in ALEKS? → Interactive problem-solving with explanations to help students learn new topics
4. What is the area of a rectangle with length 12 cm and width 7 cm? → 84 cm²
5. What is the measure of each interior angle of a regular pentagon? → 108°
6. A survey of 200 people found 60 prefer brand A. What is the relative frequency of brand A preference? → 0.30
7. A recipe calls for 2/3 cup of sugar. If you triple the recipe, how much sugar do you need? → 2 cups
8. A bag has 3 red, 5 blue, and 2 green marbles. What is the probability of picking a blue marble? → 1/2
9. What is the probability of NOT rolling a 6 on a fair die? → 5/6
10. What is the solution to 2x + 5 = 13? → x = 4
11. What is the distance between points (1, 1) and (4, 5)? → 5
12. Which value satisfies −4x + 8 = 0? → x = 2
13. A right triangle has legs of 6 and 8. What is the length of the hypotenuse? → 10
14. Solve for x: 3x − 7 = 2x + 5 → x = 12
15. Solve for x: 3x + 7 = 22 → x = 5
16. A line has equation y = −x + 7. What is the slope? → −1
17. A trapezoid has bases of 8 and 12 and a height of 5. What is its area? → 50
18. What type of triangle has all three sides of equal length? → Equilateral
19. What is the product of (2x + 3)(x - 4)? → 2x² - 5x - 12
20. Which value is a solution to 2x − 3 > 7? → x = 6
21. A store sells apples for $1.25 each. How much do 8 apples cost? → $10.00
22. Order these from least to greatest: 0.6, 3/5, 0.59, 5/8 → 0.59, 0.6, 3/5, 5/8
23. Two distinct lines are parallel if they have: → The same slope
24. Simplify: 4x + 3y - 2x + y → 2x + 4y
25. Which is true about even functions? → f(-x) = f(x)
26. What is the primary purpose of the ALEKS Placement Assessment at US colleges? → To determine the appropriate math course level for incoming students
27. What type of learning system is ALEKS based on? → Adaptive learning using knowledge space theory
28. Which number is a prime number? → 37
29. What is the purpose of a Progress Assessment in ALEKS? → To verify that previously learned topics are retained in long-term memory
30. What type of correlation is shown when one variable increases as the other decreases? → Negative correlation