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Algebra I (Grades 8–9) Midterm — Units 3–4

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Math Grades 8–9 20 multiple choice + 1 written

Free printable Algebra I midterm (Grades 8–9): 20 multiple-choice questions plus 1 written response covering Linear Functions, Systems of Equations. Answer key included — customize it in the Midterm Maker.

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Algebra I (Grades 8–9) Midterm — Units 3–4
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Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.

Covers: Linear Functions · Systems of Equations

Part 1: Multiple Choice

  1. What is the slope of a line perpendicular to y = (2/3)x - 5?
    1. A. 2/3
    2. B. 3/2
    3. C. -3/2
    4. D. -2/3
  2. What is the y-intercept of the line 2x + 5y = 20?
    1. A. 2/5
    2. B. 20
    3. C. 4
    4. D. 10
  3. Which equation describes the line through (1, 4) with slope 3?
    1. A. y = 3x + 1
    2. B. y = 3x - 1
    3. C. y = 4x + 3
    4. D. y = 3x + 4
  4. The arithmetic sequence 7, 11, 15, 19, ... continues. What is the 20th term?
    1. A. 83
    2. B. 76
    3. C. 87
    4. D. 80
  5. Which point lies on the line y - 3 = 2(x + 1)?
    1. A. (3, -1)
    2. B. (-1, 3)
    3. C. (1, 3)
    4. D. (1, -3)
  6. If f(x) = -2x + 9, for what value of x does f(x) = 1?
    1. A. 4
    2. B. -4
    3. C. 5
    4. D. 7
  7. What is the slope of the line through (-2, 5) and (4, -7)?
    1. A. -1/2
    2. B. -6
    3. C. 2
    4. D. -2
  8. Which line is parallel to y = -4x + 1 and passes through (0, 6)?
    1. A. y = (1/4)x + 6
    2. B. y = 4x + 6
    3. C. y = -4x + 1
    4. D. y = -4x + 6
  9. A repair costs C = 15h + 40 dollars, where h is hours worked. What does 15 represent?
    1. A. The total cost is $15
    2. B. The cost increases $15 for each hour of work
    3. C. The base fee is $15
    4. D. The job takes 15 hours
  10. Which equation describes the horizontal line through (5, -2)?
    1. A. x = 5
    2. B. x = -2
    3. C. y = 5
    4. D. y = -2
  11. Plan A costs $20 per month plus $0.10 per minute. Plan B costs $35 per month plus $0.05 per minute. For how many minutes do the plans cost the same?
    1. A. 150
    2. B. 30
    3. C. 550
    4. D. 300
  12. Solve the system: 5x - 2y = 4 and y = 2x - 1
    1. A. (2, 3)
    2. B. (3, 2)
    3. C. (2, 5)
    4. D. (-2, -5)
  13. How many solutions does the system 2x + 4y = 7 and x + 2y = 3 have?
    1. A. Exactly two solutions
    2. B. Exactly one solution
    3. C. Infinitely many solutions
    4. D. No solution
  14. For the system 3x + 2y = 11 and x - 4y = -1, which step eliminates x?
    1. A. Multiply the second equation by -3, then add the equations
    2. B. Multiply the second equation by 3, then add the equations
    3. C. Add the equations as they are written
    4. D. Multiply the first equation by 2, then add the equations
  15. Solve the system: 4x + 3y = 10 and 2x - 3y = -4
    1. A. (1, -2)
    2. B. (-1, 2)
    3. C. (2, 1)
    4. D. (1, 2)
  16. Solve the system: 2x + y = 7 and 3x - y = 8
    1. A. (2, 3)
    2. B. (1, 3)
    3. C. (3, -1)
    4. D. (3, 1)
  17. Which point is a solution of the system y ≥ x and y < -x + 4?
    1. A. (1, 2)
    2. B. (3, 2)
    3. C. (2, 2)
    4. D. (0, 5)
  18. A jar holds 25 coins, all dimes and quarters, worth $4.00 in total. How many quarters are in the jar?
    1. A. 16
    2. B. 10
    3. C. 12
    4. D. 15
  19. Solve the system: y = x + 2 and 3x + y = 18
    1. A. (4, 2)
    2. B. (5, 3)
    3. C. (6, 4)
    4. D. (4, 6)
  20. How many solutions does the system 6x - 2y = 8 and 3x - y = 4 have?
    1. A. No solution
    2. B. Exactly two solutions
    3. C. Exactly one solution
    4. D. Infinitely many solutions

Part 2: Written Response

  1. A theater sold 450 tickets for $5,670. Adult tickets cost $15 and child tickets cost $9. Write a system of equations, solve it by substitution or elimination, and check your answer. Show your work.

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