Math 8 (Grade 8) Midterm — Quick Check, Units 4–6
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Free printable Math 8 midterm (Grade 8): 10 multiple-choice questions covering Functions, Systems of Equations, Transformations, Volume & Scatter Plots. Answer key included — customize it in the Midterm Maker.
Math 8 (Grade 8) Midterm — Quick Check, Units 4–6
Name: Date: Period:
Directions: Read each question carefully and choose the best answer.
Covers: Functions · Systems of Equations · Transformations, Volume & Scatter Plots
Part 1: Multiple Choice
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A graph shows a car's speed over time: the speed rises, stays level, then falls to zero. Which story fits the graph?
- A. A car cruises at a steady speed, speeds up, then parks
- B. A car slows down, stops, then speeds up
- C. A car stays parked the entire time
- D. A car speeds up from a stop, cruises at a steady speed, then slows to a stop
-
A linear function has these values: when x = 1, 2, 3, 4, y = 7, 9, 11, 13. Which rule fits?
- A. y = 2x + 7
- B. y = x + 6
- C. y = 7x
- D. y = 2x + 5
-
If f(x) = 3x - 4, what is f(5)?
- A. -11
- B. 19
- C. 3
- D. 11
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What is the solution to the system x + y = 10 and x - y = 4?
- A. (8, 2)
- B. (7, 3)
- C. (6, 4)
- D. (3, 7)
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When a system of two linear equations is graphed, what represents the solution?
- A. The point where each line crosses the x-axis
- B. The point where the two lines intersect
- C. The y-intercept of the first line
- D. The slope of each line
-
How many solutions does the system y = -x + 4 and 2y = -2x + 8 have?
- A. Exactly one solution
- B. Infinitely many solutions
- C. Exactly two solutions
- D. No solution
-
A scatter plot shows that students who studied more hours tended to earn higher test scores. What type of association is this?
- A. Negative association
- B. Nonlinear association with scores falling
- C. No association
- D. Positive association
-
What is the volume of a cylinder with radius 3 cm and height 10 cm?
- A. 60π cubic cm
- B. 30π cubic cm
- C. 900π cubic cm
- D. 90π cubic cm
-
What is the volume of a sphere with radius 3 m?
- A. 108π cubic meters
- B. 12π cubic meters
- C. 36π cubic meters
- D. 27π cubic meters
-
The point (4, 5) is reflected over the x-axis. What is the image?
- A. (-4, 5)
- B. (4, -5)
- C. (-4, -5)
- D. (5, 4)
Answer Key — Math 8 (Grade 8) Midterm — Quick Check, Units 4–6
- D — A car speeds up from a stop, cruises at a steady speed, then slows to a stop Rising, level, then falling speed means speed up, cruise, then stop.
- D — y = 2x + 5 Slope is 2; at x = 1, 2(1) + 5 = 7.
- D — 11 3(5) - 4 = 15 - 4 = 11.
- B — (7, 3) Add the equations: 2x = 14, so x = 7 and y = 3.
- B — The point where the two lines intersect The intersection point makes both equations true.
- B — Infinitely many solutions Dividing the second equation by 2 gives the first, so the lines are the same.
- D — Positive association Both variables increase together, which is a positive association.
- D — 90π cubic cm V = πr²h = π(9)(10) = 90π.
- C — 36π cubic meters V = (4/3)πr³ = (4/3)π(27) = 36π.
- B — (4, -5) Reflecting over the x-axis changes the sign of y.