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

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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 A
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. Which set of ordered pairs represents a function?
    1. A. {(1, 2), (1, 3), (2, 4), (3, 5)}
    2. B. {(2, 1), (3, 1), (2, 5), (4, 6)}
    3. C. {(0, 0), (5, 1), (5, -1), (6, 2)}
    4. D. {(1, 2), (2, 4), (3, 6), (4, 8)}
  2. A line passes through (0, 4) and (2, 0). Which equation describes it?
    1. A. y = 4x - 2
    2. B. y = 2x + 4
    3. C. y = -0.5x + 4
    4. D. y = -2x + 4
  3. A graph shows a car's speed over time: the speed rises, stays level, then falls to zero. Which story fits the graph?
    1. A. A car cruises at a steady speed, speeds up, then parks
    2. B. A car slows down, stops, then speeds up
    3. C. A car stays parked the entire time
    4. D. A car speeds up from a stop, cruises at a steady speed, then slows to a stop
  4. Which function is nonlinear?
    1. A. y = -x
    2. B. y = x^2 + 1
    3. C. y = 4x - 2
    4. D. y = x/2 + 3
  5. Function A is y = 2x + 7. Function B has these values: when x = 1, 2, 3, y = 4, 9, 14. Which statement is true?
    1. A. Function B has the greater rate of change, 4
    2. B. Function A has the greater rate of change, 7
    3. C. Function A has the greater rate of change, 2
    4. D. Function B has the greater rate of change, 5
  6. Which system has the solution (1, -2)?
    1. A. y = x + 3 and y = -2x
    2. B. y = 2x - 4 and y = x + 1
    3. C. y = -x - 1 and y = 3x
    4. D. y = x - 3 and y = -2x
  7. In the system 2x + 3y = 12 and x = 3, what is the value of y?
    1. A. 3
    2. B. 2
    3. C. 6
    4. D. 4
  8. What is the solution to the system 3x + 2y = 16 and x - 2y = 0?
    1. A. (4, 2)
    2. B. (2, 4)
    3. C. (4, -2)
    4. D. (2, 5)
  9. When a system of two linear equations is graphed, what represents the solution?
    1. A. The point where each line crosses the x-axis
    2. B. The point where the two lines intersect
    3. C. The y-intercept of the first line
    4. D. The slope of each line
  10. How many solutions does the system y = -x + 4 and 2y = -2x + 8 have?
    1. A. Exactly one solution
    2. B. Infinitely many solutions
    3. C. Exactly two solutions
    4. D. No solution
  11. The point (3, -2) is translated 4 units left and 5 units up. What is the new point?
    1. A. (-1, 3)
    2. B. (-1, -7)
    3. C. (7, -7)
    4. D. (7, 3)
  12. A line of fit for test scores is y = 2.5x + 60, where x is hours studied. What score does it predict for 8 hours?
    1. A. 85
    2. B. 20
    3. C. 80
    4. D. 68
  13. The point (2, -1) is dilated by a scale factor of 3 centered at the origin. What is the image?
    1. A. (5, 2)
    2. B. (2/3, -1/3)
    3. C. (6, 3)
    4. D. (6, -3)
  14. The point (4, 5) is reflected over the x-axis. What is the image?
    1. A. (-4, 5)
    2. B. (4, -5)
    3. C. (-4, -5)
    4. D. (5, 4)
  15. What is the volume of a cylinder with radius 3 cm and height 10 cm?
    1. A. 60π cubic cm
    2. B. 30π cubic cm
    3. C. 900π cubic cm
    4. D. 90π cubic cm

Part 2: Written Response

  1. A tank holds 500 gallons of water and drains at a constant 20 gallons per minute. (a) Write a function W(t) for the water left after t minutes. (b) Name the rate of change and initial value. (c) How much water is left after 12 minutes? (d) When is the tank empty? Show your work.

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