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Math 8 (Grade 8) Midterm — Semester 2, Form B

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Math Grade 8 15 multiple choice + 1 written

Free printable Math 8 midterm (Grade 8): 15 multiple-choice questions plus 1 written response covering Functions, Systems of Equations, Transformations, Volume & Scatter Plots. Answer key included — customize it in the Midterm Maker.

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Math 8 (Grade 8) Midterm — Semester 2, Form B
Name: Date: Period:

Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.

Covers: Functions · Systems of Equations · Transformations, Volume & Scatter Plots

Part 1: Multiple Choice

  1. If f(x) = 3x - 4, what is f(5)?
    1. A. -11
    2. B. 19
    3. C. 3
    4. D. 11
  2. A linear function has these values: when x = 0, 1, 2, 3, y = 5, 8, 11, 14. What is the rate of change?
    1. A. 3
    2. B. 5
    3. C. 8
    4. D. 1/3
  3. A plumber charges a $65 fee plus $40 per hour. In a function for the total cost, what is the initial value?
    1. A. $65
    2. B. $40
    3. C. $105
    4. D. $25
  4. A linear function has these values: when x = 1, 2, 3, 4, y = 7, 9, 11, 13. Which rule fits?
    1. A. y = 2x + 7
    2. B. y = x + 6
    3. C. y = 7x
    4. D. y = 2x + 5
  5. The graph of a linear function goes down from left to right. What does this tell you?
    1. A. The rate of change is positive
    2. B. The rate of change is undefined
    3. C. The rate of change is zero
    4. D. The rate of change is negative
  6. What is the solution to the system x + y = 10 and x - y = 4?
    1. A. (8, 2)
    2. B. (7, 3)
    3. C. (6, 4)
    4. D. (3, 7)
  7. The sum of two numbers is 30 and their difference is 8. What is the larger number?
    1. A. 22
    2. B. 19
    3. C. 11
    4. D. 15
  8. How many solutions does the system y = 3x + 2 and y = 3x - 5 have?
    1. A. Infinitely many solutions
    2. B. No solution
    3. C. Exactly two solutions
    4. D. Exactly one solution
  9. What is the solution to the system y = 2x and x + y = 9?
    1. A. (2, 7)
    2. B. (6, 3)
    3. C. (3, 6)
    4. D. (4, 5)
  10. A school sold 20 tickets to a play for $127. Adult tickets cost $8 and student tickets cost $5. How many adult tickets were sold?
    1. A. 9
    2. B. 15
    3. C. 11
    4. D. 12
  11. The point (2, 3) is rotated 90° counterclockwise about the origin. What is the image?
    1. A. (3, -2)
    2. B. (-2, -3)
    3. C. (2, -3)
    4. D. (-3, 2)
  12. What is the volume of a sphere with radius 3 m?
    1. A. 108π cubic meters
    2. B. 12π cubic meters
    3. C. 36π cubic meters
    4. D. 27π cubic meters
  13. A scatter plot shows that students who studied more hours tended to earn higher test scores. What type of association is this?
    1. A. Negative association
    2. B. Nonlinear association with scores falling
    3. C. No association
    4. D. Positive association
  14. What is the volume of a cone with radius 3 inches and height 4 inches?
    1. A. 36π cubic inches
    2. B. 12π cubic inches
    3. C. 48π cubic inches
    4. D. 4π cubic inches
  15. Which transformation does NOT always produce a figure congruent to the original?
    1. A. Translation
    2. B. Rotation
    3. C. Reflection
    4. D. Dilation

Part 2: Written Response

  1. A theater sold 300 tickets for a total of $2,975. Adult tickets cost $12 and student tickets cost $7. Write a system of equations and solve it to find how many of each ticket were sold. Show your work.