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Math 7 (Grade 7) Midterm — Units 1–2

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Math Grade 7 20 multiple choice + 1 written

Free printable Math 7 midterm (Grade 7): 20 multiple-choice questions plus 1 written response covering Proportional Relationships, Operations with Rational Numbers. Answer key included — customize it in the Midterm Maker.

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Math 7 (Grade 7) 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: Proportional Relationships · Operations with Rational Numbers

Part 1: Multiple Choice

  1. A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of flour are needed for 8 cups of sugar?
    1. A. 16 cups
    2. B. 5 1/3 cups
    3. C. 12 cups
    4. D. 9 cups
  2. Which equation represents a proportional relationship?
    1. A. y = x + 4
    2. B. y = 4x + 1
    3. C. y = 4x
    4. D. y = x^2
  3. On a map, 1 inch represents 25 miles. Two towns are 3.5 inches apart on the map. What is the actual distance?
    1. A. 75 miles
    2. B. 100 miles
    3. C. 28.5 miles
    4. D. 87.5 miles
  4. A car travels 150 miles in 3 hours at a constant speed. What is its unit rate?
    1. A. 450 miles per hour
    2. B. 45 miles per hour
    3. C. 50 miles per hour
    4. D. 30 miles per hour
  5. The cost y of x pounds of apples is given by y = 7x. What is the constant of proportionality?
    1. A. 14
    2. B. 1/7
    3. C. 7
    4. D. 0.7
  6. Which table shows a proportional relationship between x and y?
    1. A. x: 1, 2, 3; y: 4, 5, 6
    2. B. x: 1, 2, 3; y: 3, 5, 7
    3. C. x: 2, 3, 4; y: 4, 9, 16
    4. D. x: 2, 4, 6; y: 5, 10, 15
  7. The point (4, 10) is on the graph of a proportional relationship. What is the value of r for the point (1, r)?
    1. A. 14
    2. B. 6
    3. C. 2.5
    4. D. 0.4
  8. A 12-ounce box of cereal costs $3.00. A 16-ounce box costs $3.60. Which statement is true?
    1. A. The 12-ounce box costs less per ounce
    2. B. The two boxes cost the same per ounce
    3. C. The 16-ounce box costs less per ounce
    4. D. The 12-ounce box costs $0.30 per ounce
  9. Which description matches the graph of a proportional relationship?
    1. A. A straight line that crosses the y-axis at 2
    2. B. A horizontal line above the x-axis
    3. C. A curve that passes through the origin
    4. D. A straight line that passes through the origin
  10. Maria walks 1/2 mile in 1/4 hour. What is her speed in miles per hour?
    1. A. 4
    2. B. 1/8
    3. C. 3/4
    4. D. 2
  11. What is 3/8 written as a decimal?
    1. A. 0.035
    2. B. 0.83
    3. C. 2.667
    4. D. 0.375
  12. What is -2.5 × 4 + 6?
    1. A. -4
    2. B. 4
    3. C. 16
    4. D. -16
  13. What is -3/4 + 1/2?
    1. A. -1/4
    2. B. -2/6
    3. C. -5/4
    4. D. 1/4
  14. What is (-6) × (-7)?
    1. A. 13
    2. B. 42
    3. C. -42
    4. D. -13
  15. The temperature at noon was 4°F. By midnight it had dropped 11 degrees. What was the temperature at midnight?
    1. A. 7°F
    2. B. -15°F
    3. C. 15°F
    4. D. -7°F
  16. Which expression has a negative value?
    1. A. (-8) ÷ (-2)
    2. B. (-4)(-5)
    3. C. (-3)(-3)
    4. D. (-2)(-3)(-1)
  17. What is (-2/3) ÷ (4/9)?
    1. A. -3/2
    2. B. -2/3
    3. C. 3/2
    4. D. -8/27
  18. What is 5 - (-9)?
    1. A. -4
    2. B. 4
    3. C. -14
    4. D. 14
  19. What is -8 + 5?
    1. A. 3
    2. B. -3
    3. C. 13
    4. D. -13
  20. A diver is at -30 feet. She rises 12 feet and then descends 7 feet. What is her new position?
    1. A. -35 feet
    2. B. -25 feet
    3. C. -11 feet
    4. D. -49 feet

Part 2: Written Response

  1. At 6 a.m. the temperature was -4.5°F. It rose 2.5 degrees each hour for 4 hours, then dropped 7.25 degrees. Write one expression for the final temperature and evaluate it. Show your work.

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