Practice Test GeeksALEKS - Assessment and Learning in Knowledge Spaces Practice Test
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Mixed Deck — All ALEKS Topics Flashcards

100 cards from real ALEKS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 20 Mixed Deck — All ALEKS Topics flashcards as text

  1. Solve: (x + 3)/2 = 5

    Answer: x = 7

    Multiplying both sides by 2 gives x + 3 = 10, and subtracting 3 gives x = 7.

  2. If 5x = 35, what is x?

    Answer: 7

    Dividing both sides by 5 gives x = 35 ÷ 5 = 7.

  3. Order these from least to greatest: 0.6, 3/5, 0.59, 5/8

    Answer: 0.59, 0.6, 3/5, 5/8

    Converting all to decimals: 0.59, 0.60, 0.60, 0.625 — so the order is 0.59, 0.6, 3/5, 5/8.

  4. What is the vertex of the parabola y = (x - 3)² + 2?

    Answer: (3, 2)

    In vertex form y = (x - h)² + k, the vertex is (h, k) = (3, 2).

  5. What is the slope of the line y = 3x − 5?

    Answer: 3

    In slope-intercept form y = mx + b, the coefficient of x is the slope, so m = 3.

  6. What is the area of a circle with diameter 10? (Use π ≈ 3.14)

    Answer: 78.5

    Radius = 5, Area = πr² = 3.14 × 25 = 78.5.

  7. Which inequality represents 'x is at most 5'?

    Answer: x ≤ 5

    'At most 5' means x cannot exceed 5, including 5 itself, which is written as x ≤ 5.

  8. Convert 5/4 to a mixed number.

    Answer: 1 1/4

    5 ÷ 4 = 1 remainder 1, so 5/4 = 1 1/4.

  9. Which value satisfies −4x + 8 = 0?

    Answer: x = 2

    Adding 4x to both sides gives 8 = 4x, and dividing both sides by 4 gives x = 2.

  10. After an ALEKS Placement Assessment, what opportunity do students typically have?

    Answer: A Prep and Learning module to improve their score before retaking the assessment

    ALEKS PPL includes Prep and Learning modules that allow students to strengthen skills and improve their placement score.

  11. What is the range of: 15, 22, 8, 31, 19?

    Answer: 23

    Range = maximum - minimum = 31 - 8 = 23.

  12. What is the distance between points (1, 1) and (4, 5)?

    Answer: 5

    Distance = √((4-1)² + (5-1)²) = √(9 + 16) = √25 = 5.

  13. What are the solutions to x² - 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factor as (x - 2)(x - 3) = 0, giving solutions x = 2 and x = 3.

  14. If f(x) = x + 2 and g(x) = x², what is f(g(3))?

    Answer: 11

    g(3) = 9, then f(9) = 9 + 2 = 11.

  15. A line segment has endpoints A(1, 2) and B(5, 6). What is the midpoint?

    Answer: (3, 4)

    Midpoint = ((1+5)/2, (2+6)/2) = (3, 4).

  16. Find the inverse of f(x) = 3x - 6.

    Answer: f⁻¹(x) = (x + 6)/3

    Replace f(x) with y, swap x and y, then solve: x = 3y - 6 → y = (x + 6)/3.

  17. What does the ALEKS instructor module allow teachers to do?

    Answer: Track individual student progress, set assignments, and customize course content

    The instructor module provides detailed analytics, assignment tools, and content customization for managing student learning.

  18. A recipe calls for 2/3 cup of sugar. If you triple the recipe, how much sugar do you need?

    Answer: 2 cups

    Triple 2/3: 3 × 2/3 = 6/3 = 2 cups.

  19. A standard die is rolled. What is the probability of rolling a number greater than 4?

    Answer: 1/3

    Numbers greater than 4 are 5 and 6, so P = 2/6 = 1/3.

  20. Which of the following is NOT a function?

    Answer: x = 3

    x = 3 is a vertical line, which fails the vertical line test and is not a function.