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Math 6 (Grade 6) Midterm — Units 3–4

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Math Grade 6 20 multiple choice + 1 written

Free printable Math 6 midterm (Grade 6): 20 multiple-choice questions plus 1 written response covering Integers & Rational Numbers, Expressions. Answer key included — customize it in the Midterm Maker.

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Math 6 (Grade 6) 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: Integers & Rational Numbers · Expressions

Part 1: Multiple Choice

  1. Which statement is true?
    1. A. −5 > −8
    2. B. −8 > −5
    3. C. |−5| > |−8|
    4. D. −5 < −8
  2. A diver is at an elevation of −30 feet. What does this mean?
    1. A. The diver is 30 feet above sea level.
    2. B. The diver is at sea level.
    3. C. The diver is 30 feet below sea level.
    4. D. The diver is 3 feet below sea level.
  3. The point (4, −2) is reflected across the x-axis. What are the coordinates of its image?
    1. A. (−4, 2)
    2. B. (2, 4)
    3. C. (4, 2)
    4. D. (−4, −2)
  4. What is |−12|?
    1. A. 0
    2. B. 1/12
    3. C. 12
    4. D. −12
  5. What is the distance between the points (2, −4) and (2, 6)?
    1. A. 8 units
    2. B. 4 units
    3. C. 2 units
    4. D. 10 units
  6. In which quadrant is the point (−3, 5)?
    1. A. Quadrant I
    2. B. Quadrant III
    3. C. Quadrant IV
    4. D. Quadrant II
  7. At 6 a.m. the temperature was −4°F. By noon it had risen 15 degrees. What was the temperature at noon?
    1. A. −19°F
    2. B. 19°F
    3. C. −11°F
    4. D. 11°F
  8. What is the opposite of −7?
    1. A. −7
    2. B. 1/7
    3. C. −1/7
    4. D. 7
  9. Which list orders the numbers from least to greatest?
    1. A. 2, 0.25, −0.5, −3
    2. B. 0.25, −0.5, −3, 2
    3. C. −3, −0.5, 0.25, 2
    4. D. −0.5, −3, 0.25, 2
  10. Which number is between −2 and −1 on a number line?
    1. A. −2.5
    2. B. −0.5
    3. C. −1.5
    4. D. 1.5
  11. What is the value of 5^3?
    1. A. 15
    2. B. 53
    3. C. 25
    4. D. 125
  12. In the expression 7y + 2, what is the coefficient?
    1. A. y
    2. B. 9
    3. C. 7
    4. D. 2
  13. What is the value of 2^3 + 4 × 3?
    1. A. 18
    2. B. 36
    3. C. 15
    4. D. 20
  14. What is the value of (12 − 4) ÷ 2 + 3^2?
    1. A. 7
    2. B. 13
    3. C. 19
    4. D. 10
  15. Which expression represents "five less than twice a number n"?
    1. A. 2n − 5
    2. B. 5n − 2
    3. C. 5 − 2n
    4. D. 2(n − 5)
  16. What is the value of 3x + 5 when x = 4?
    1. A. 22
    2. B. 12
    3. C. 17
    4. D. 35
  17. Which expression is equivalent to 4a + 3b − a + 2b?
    1. A. 3a + 5b
    2. B. 3a + b
    3. C. 5a + 5b
    4. D. 4a + 5b
  18. Which expression is equivalent to 3(2x + 4)?
    1. A. 5x + 7
    2. B. 6x + 4
    3. C. 6x + 12
    4. D. 2x + 12
  19. Which expression is equivalent to 18m + 24?
    1. A. 3(6m + 4)
    2. B. 18(m + 6)
    3. C. 6(3m + 24)
    4. D. 6(3m + 4)
  20. Concert tickets cost $8 each, plus a $3 fee per order. Which expression gives the total cost of t tickets in one order?
    1. A. 11t
    2. B. 8t + 3
    3. C. 3t + 8
    4. D. 8(t + 3)

Part 2: Written Response

  1. Write two different expressions equivalent to 4(3x + 2). Prove they are equivalent by using properties of operations and by substituting a value for x.

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