Math 7 (Grade 7) Midterm — Semester 1, Form B
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Free printable Math 7 midterm (Grade 7): 15 multiple-choice questions plus 1 written response covering Proportional Relationships, Operations with Rational Numbers, Expressions & Equations. Answer key included — customize it in the Midterm Maker.
Math 7 (Grade 7) Midterm — Semester 1, Form B
Name: Date: Period:
Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.
Covers: Proportional Relationships · Operations with Rational Numbers · Expressions & Equations
Part 1: Multiple Choice
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Which table shows a proportional relationship between x and y?
- A. x: 1, 2, 3; y: 4, 5, 6
- B. x: 1, 2, 3; y: 3, 5, 7
- C. x: 2, 3, 4; y: 4, 9, 16
- D. x: 2, 4, 6; y: 5, 10, 15
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The point (4, 10) is on the graph of a proportional relationship. What is the value of r for the point (1, r)?
- A. 14
- B. 6
- C. 2.5
- D. 0.4
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A 12-ounce box of cereal costs $3.00. A 16-ounce box costs $3.60. Which statement is true?
- A. The 12-ounce box costs less per ounce
- B. The two boxes cost the same per ounce
- C. The 16-ounce box costs less per ounce
- D. The 12-ounce box costs $0.30 per ounce
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Which description matches the graph of a proportional relationship?
- A. A straight line that crosses the y-axis at 2
- B. A horizontal line above the x-axis
- C. A curve that passes through the origin
- D. A straight line that passes through the origin
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Maria walks 1/2 mile in 1/4 hour. What is her speed in miles per hour?
- A. 4
- B. 1/8
- C. 3/4
- D. 2
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Which expression has a negative value?
- A. (-8) ÷ (-2)
- B. (-4)(-5)
- C. (-3)(-3)
- D. (-2)(-3)(-1)
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What is (-2/3) ÷ (4/9)?
- A. -3/2
- B. -2/3
- C. 3/2
- D. -8/27
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What is 5 - (-9)?
- A. -4
- B. 4
- C. -14
- D. 14
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What is -8 + 5?
- A. 3
- B. -3
- C. 13
- D. -13
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A diver is at -30 feet. She rises 12 feet and then descends 7 feet. What is her new position?
- A. -35 feet
- B. -25 feet
- C. -11 feet
- D. -49 feet
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Which expression is equivalent to 6x + 9?
- A. 2(3x + 9)
- B. 6(x + 9)
- C. 3(2x + 3)
- D. 3(2x + 9)
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Solve: x/3 + 5 = 11
- A. x = 2
- B. x = 18
- C. x = 48
- D. x = 6
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Jada has $40 and saves $6 each week. She wants at least $100. Which inequality models the number of weeks w?
- A. 40 + 6w ≤ 100
- B. 40 + 6w ≥ 100
- C. 40w + 6 ≤ 100
- D. 6 + 40w ≥ 100
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Solve: 4x - 7 = 21
- A. x = 7
- B. x = 5
- C. x = 28
- D. x = 3.5
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Solve: 2(x - 3) = 14
- A. x = 7
- B. x = 4
- C. x = 8.5
- D. x = 10
Part 2: Written Response
- 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.
Answer Key — Math 7 (Grade 7) Midterm — Semester 1, Form B
- D — x: 2, 4, 6; y: 5, 10, 15 Every y ÷ x equals 2.5, so the ratio is constant.
- C — 2.5 r is the unit rate: 10 ÷ 4 = 2.5.
- C — The 16-ounce box costs less per ounce $3.00 ÷ 12 = $0.25 per ounce; $3.60 ÷ 16 = $0.225 per ounce.
- D — A straight line that passes through the origin Proportional relationships graph as straight lines through (0, 0).
- D — 2 (1/2) ÷ (1/4) = 2 miles per hour.
- D — (-2)(-3)(-1) Three negative factors give a negative product: -6.
- A — -3/2 Multiply by the reciprocal: (-2/3)(9/4) = -18/12 = -3/2.
- D — 14 Subtracting a negative is adding: 5 + 9 = 14.
- B — -3 Signs differ: subtract 8 - 5 = 3 and keep the sign of -8.
- B — -25 feet -30 + 12 - 7 = -25 feet.
- C — 3(2x + 3) Factor out the GCF 3: 6x + 9 = 3(2x + 3).
- B — x = 18 Subtract 5 to get x/3 = 6, then multiply by 3: x = 18.
- B — 40 + 6w ≥ 100 Start at 40, add 6 per week, and "at least" means ≥ 100.
- A — x = 7 Add 7 to get 4x = 28, then divide by 4: x = 7.
- D — x = 10 Divide by 2 to get x - 3 = 7, so x = 10.
Written Response — Look-Fors
- Expression -4.5 + 4(2.5) - 7.25; 4(2.5) = 10; -4.5 + 10 = 5.5; 5.5 - 7.25 = -1.75. Final answer: -1.75°F.