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Algebra I (Grades 8–9) Midterm — Units 1–2

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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 Expressions & Equations, Inequalities. Answer key included — customize it in the Midterm Maker.

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Algebra I (Grades 8–9) Midterm — Units 1–2
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Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.

Covers: Expressions & Equations · Inequalities

Part 1: Multiple Choice

  1. Which property justifies 5(x + 2) = 5x + 10?
    1. A. Commutative Property of Addition
    2. B. Additive Identity Property
    3. C. Associative Property of Multiplication
    4. D. Distributive Property
  2. Solve 3x + 2y = 8 for y.
    1. A. y = -(3/2)x + 4
    2. B. y = -(3/2)x + 8
    3. C. y = -3x + 8
    4. D. y = (3/2)x + 4
  3. Solve A = (1/2)bh for h.
    1. A. h = 2Ab
    2. B. h = b/(2A)
    3. C. h = A/(2b)
    4. D. h = 2A/b
  4. Solve: 3(2x + 1) = 4x + 15
    1. A. x = 7.5
    2. B. x = 3
    3. C. x = 9
    4. D. x = 6
  5. Solve: (2/3)x - 4 = 10
    1. A. x = 21
    2. B. x = 6
    3. C. x = 4
    4. D. x = 9 1/3
  6. Solve: |x - 3| = 5
    1. A. x = 8 only
    2. B. x = 8 or x = -2
    3. C. x = -8 or x = 2
    4. D. x = 8 or x = 2
  7. Simplify: 4(2x - 3) - (x - 5)
    1. A. 9x - 7
    2. B. 7x - 7
    3. C. 7x - 17
    4. D. 7x + 2
  8. Evaluate 2a^2 - 3b when a = -3 and b = 4.
    1. A. 30
    2. B. -30
    3. C. 6
    4. D. -6
  9. Solve: 0.4(x - 10) = 0.2x + 3
    1. A. x = 17.5
    2. B. x = 5
    3. C. x = 70
    4. D. x = 35
  10. The sum of three consecutive integers is 87. What is the smallest integer?
    1. A. 26
    2. B. 28
    3. C. 29
    4. D. 27
  11. Solve: |x| < 5
    1. A. -5 < x < 5
    2. B. x < 5
    3. C. 0 < x < 5
    4. D. x < -5 or x > 5
  12. Which value of x is a solution of 3x - 5 ≥ 10?
    1. A. 5
    2. B. 0
    3. C. 4
    4. D. -5
  13. Solve: 2(x - 1) ≤ 3x + 4
    1. A. x ≤ 2
    2. B. x ≥ 6
    3. C. x ≥ -6
    4. D. x ≤ -6
  14. Solve: -4x + 7 > 23
    1. A. x < 4
    2. B. x < -4
    3. C. x > -7.5
    4. D. x > -4
  15. A phone plan costs $35 per month plus $0.05 per text. Kai can spend at most $50 per month. What is the greatest number of texts he can send?
    1. A. 300
    2. B. 30
    3. C. 1,700
    4. D. 700
  16. Solve: -3 < 2x + 1 ≤ 9
    1. A. -2 ≤ x < 4
    2. B. -2 < x ≤ 4
    3. C. -4 < x ≤ 2
    4. D. -1 < x ≤ 5
  17. A number line shows an open circle at 2 with shading to the left. Which inequality does it show?
    1. A. x ≤ 2
    2. B. x > 2
    3. C. x ≥ 2
    4. D. x < 2
  18. Which point is a solution of y > 2x - 1?
    1. A. (0, 0)
    2. B. (3, 4)
    3. C. (1, 0)
    4. D. (2, 3)
  19. Which inequality means "a number n decreased by 7 is at most 15"?
    1. A. n - 7 ≥ 15
    2. B. n - 7 < 15
    3. C. n - 7 ≤ 15
    4. D. 7 - n ≤ 15
  20. Solve: |x - 2| ≥ 3
    1. A. x ≤ -1 or x ≥ 5
    2. B. -1 ≤ x ≤ 5
    3. C. x ≥ 5
    4. D. x ≤ -5 or x ≥ 1

Part 2: Written Response

  1. A club sells candles for $8 each. It spent $200 on supplies. The club wants a profit of at least $500. Write and solve an inequality for the number of candles c, and explain what the solution means in context. Show your work.

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