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Algebra I (Grades 8–9) Midterm — Semester 2, Form A

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Math Grades 8–9 15 multiple choice + 1 written

Free printable Algebra I midterm (Grades 8–9): 15 multiple-choice questions plus 1 written response covering Systems of Equations, Exponents & Exponential Functions, Polynomials, Factoring & Quadratics. Answer key included — customize it in the Midterm Maker.

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Algebra I (Grades 8–9) 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: Systems of Equations · Exponents & Exponential Functions · Polynomials, Factoring & Quadratics

Part 1: Multiple Choice

  1. 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
  2. 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)
  3. 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
  4. 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
  5. 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)
  6. Simplify: √72
    1. A. 6√2
    2. B. 2√6
    3. C. 4√3
    4. D. 36√2
  7. What is the value of 27^(2/3)?
    1. A. 18
    2. B. 8
    3. C. 9
    4. D. 3
  8. Which table shows an exponential function? Each table lists y for x = 0, 1, 2, 3.
    1. A. y = 3, 6, 9, 12
    2. B. y = 3, 5, 9, 15
    3. C. y = 1, 4, 9, 16
    4. D. y = 3, 6, 12, 24
  9. Simplify: x^5 · x^(-2)
    1. A. x^(-10)
    2. B. x^(-3)
    3. C. x^7
    4. D. x^3
  10. A car is worth $24,000 and loses 15% of its value each year. Which function gives its value V after t years?
    1. A. V = 24,000(1.15)^t
    2. B. V = 24,000(0.15)^t
    3. C. V = 24,000 - 0.85t
    4. D. V = 24,000(0.85)^t
  11. What is the vertex of the graph of y = (x - 2)^2 + 5?
    1. A. (5, 2)
    2. B. (2, -5)
    3. C. (2, 5)
    4. D. (-2, 5)
  12. Factor: x^2 + 7x + 12
    1. A. (x + 2)(x + 6)
    2. B. (x - 3)(x - 4)
    3. C. (x + 1)(x + 12)
    4. D. (x + 3)(x + 4)
  13. Multiply: (x + 4)(x - 3)
    1. A. x^2 - x - 12
    2. B. x^2 - 12
    3. C. x^2 + x - 12
    4. D. x^2 + 7x - 12
  14. How many real solutions does 2x^2 - 4x + 5 = 0 have?
    1. A. No real solutions
    2. B. Two real solutions
    3. C. Three real solutions
    4. D. One real solution
  15. Factor: 2x^2 + 7x + 3
    1. A. (x + 1)(x + 3)
    2. B. (2x + 1)(x - 3)
    3. C. (2x + 1)(x + 3)
    4. D. (2x + 3)(x + 1)

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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