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

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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 B
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. 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)
  2. 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)
  3. 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
  4. 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)
  5. 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
  6. The function y = 200(1.05)^t models a population after t years. What does 1.05 tell you?
    1. A. The population grows 105% each year
    2. B. The population grows 5% each year
    3. C. The population decreases 5% each year
    4. D. The population grows 0.05% each year
  7. A culture starts with 50 bacteria and doubles every hour. How many bacteria are there after 5 hours?
    1. A. 500
    2. B. 3,200
    3. C. 1,600
    4. D. 250
  8. Simplify: (3x^2 y)^3
    1. A. 9x^6 y^3
    2. B. 27x^5 y^3
    3. C. 27x^6 y^3
    4. D. 3x^6 y^3
  9. A value is modeled by y = 1000(0.8)^t. What is y when t = 2?
    1. A. 800
    2. B. 1,280
    3. C. 640
    4. D. 600
  10. Simplify: (2a^3) / (8a^5), with a ≠ 0
    1. A. 1/(4a^2)
    2. B. 1/(4a^8)
    3. C. a^2/4
    4. D. 4a^2
  11. Simplify: (3x^2 + 2x - 5) + (x^2 - 4x + 7)
    1. A. 4x^2 - 2x - 12
    2. B. 4x^2 + 6x + 2
    3. C. 3x^4 - 2x + 2
    4. D. 4x^2 - 2x + 2
  12. Solve: x^2 - 5x - 14 = 0
    1. A. x = 7 or x = -2
    2. B. x = 5 or x = -14
    3. C. x = -7 or x = 2
    4. D. x = 14 or x = -1
  13. Factor: x^2 - 49
    1. A. (x + 7)^2
    2. B. (x - 49)(x + 1)
    3. C. (x + 7)(x - 7)
    4. D. (x - 7)^2
  14. Use the quadratic formula to solve x^2 + 4x - 1 = 0.
    1. A. x = -4 ± √5
    2. B. x = -2 ± √3
    3. C. x = 2 ± √5
    4. D. x = -2 ± √5
  15. What is the axis of symmetry of y = x^2 - 6x + 1?
    1. A. x = 6
    2. B. x = -3
    3. C. x = 1
    4. D. x = 3

Part 2: Written Response

  1. Maya invests $2,000 at 6% interest compounded once a year. (a) Write an exponential function for the value V after t years. (b) Find the value after 10 years, rounded to the nearest cent. (c) Is this growth or decay? Explain. Show your work.

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