Math 8 (Grade 8) Midterm — Semester 2, Form B
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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.
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
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If f(x) = 3x - 4, what is f(5)?
- A. -11
- B. 19
- C. 3
- D. 11
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A linear function has these values: when x = 0, 1, 2, 3, y = 5, 8, 11, 14. What is the rate of change?
- A. 3
- B. 5
- C. 8
- D. 1/3
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A plumber charges a $65 fee plus $40 per hour. In a function for the total cost, what is the initial value?
- A. $65
- B. $40
- C. $105
- D. $25
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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
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The graph of a linear function goes down from left to right. What does this tell you?
- A. The rate of change is positive
- B. The rate of change is undefined
- C. The rate of change is zero
- D. The rate of change is negative
-
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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The sum of two numbers is 30 and their difference is 8. What is the larger number?
- A. 22
- B. 19
- C. 11
- D. 15
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How many solutions does the system y = 3x + 2 and y = 3x - 5 have?
- A. Infinitely many solutions
- B. No solution
- C. Exactly two solutions
- D. Exactly one solution
-
What is the solution to the system y = 2x and x + y = 9?
- A. (2, 7)
- B. (6, 3)
- C. (3, 6)
- D. (4, 5)
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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?
- A. 9
- B. 15
- C. 11
- D. 12
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The point (2, 3) is rotated 90° counterclockwise about the origin. What is the image?
- A. (3, -2)
- B. (-2, -3)
- C. (2, -3)
- D. (-3, 2)
-
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
-
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 cone with radius 3 inches and height 4 inches?
- A. 36π cubic inches
- B. 12π cubic inches
- C. 48π cubic inches
- D. 4π cubic inches
-
Which transformation does NOT always produce a figure congruent to the original?
- A. Translation
- B. Rotation
- C. Reflection
- D. Dilation
Part 2: Written Response
- 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.
Answer Key — Math 8 (Grade 8) Midterm — Semester 2, Form B
- D — 11 3(5) - 4 = 15 - 4 = 11.
- A — 3 y increases by 3 each time x increases by 1.
- A — $65 The initial value is the cost at 0 hours: the $65 fee.
- D — y = 2x + 5 Slope is 2; at x = 1, 2(1) + 5 = 7.
- D — The rate of change is negative As x increases, y decreases, so the slope is negative.
- B — (7, 3) Add the equations: 2x = 14, so x = 7 and y = 3.
- B — 19 x + y = 30 and x - y = 8 give 2x = 38, so x = 19.
- B — No solution Same slope, different y-intercepts: the lines are parallel.
- C — (3, 6) Substitute: x + 2x = 9, so x = 3 and y = 6.
- A — 9 8a + 5(20 - a) = 127 gives 3a = 27, so a = 9.
- D — (-3, 2) A 90° counterclockwise rotation maps (x, y) to (-y, x).
- C — 36π cubic meters V = (4/3)πr³ = (4/3)π(27) = 36π.
- D — Positive association Both variables increase together, which is a positive association.
- B — 12π cubic inches V = (1/3)πr²h = (1/3)π(9)(4) = 12π.
- D — Dilation A dilation changes size unless the scale factor is 1.
Written Response — Look-Fors
- System a + s = 300 and 12a + 7s = 2975; substitution or elimination: 5a = 875; check 12(175) + 7(125) = 2975. Final answer: 175 adult tickets and 125 student tickets.