Math 7 (Grade 7) Midterm — Semester 1, Form A
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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 A
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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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?
- A. 16 cups
- B. 5 1/3 cups
- C. 12 cups
- D. 9 cups
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Which equation represents a proportional relationship?
- A. y = x + 4
- B. y = 4x + 1
- C. y = 4x
- D. y = x^2
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On a map, 1 inch represents 25 miles. Two towns are 3.5 inches apart on the map. What is the actual distance?
- A. 75 miles
- B. 100 miles
- C. 28.5 miles
- D. 87.5 miles
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A car travels 150 miles in 3 hours at a constant speed. What is its unit rate?
- A. 450 miles per hour
- B. 45 miles per hour
- C. 50 miles per hour
- D. 30 miles per hour
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The cost y of x pounds of apples is given by y = 7x. What is the constant of proportionality?
- A. 14
- B. 1/7
- C. 7
- D. 0.7
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What is 3/8 written as a decimal?
- A. 0.035
- B. 0.83
- C. 2.667
- D. 0.375
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What is -2.5 × 4 + 6?
- A. -4
- B. 4
- C. 16
- D. -16
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What is -3/4 + 1/2?
- A. -1/4
- B. -2/6
- C. -5/4
- D. 1/4
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What is (-6) × (-7)?
- A. 13
- B. 42
- C. -42
- D. -13
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The temperature at noon was 4°F. By midnight it had dropped 11 degrees. What was the temperature at midnight?
- A. 7°F
- B. -15°F
- C. 15°F
- D. -7°F
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Which inequality is the solution of 3x + 5 ≤ 20?
- A. x ≥ 5
- B. x ≤ 25/3
- C. x ≥ 25/3
- D. x ≤ 5
-
Which expression is equivalent to 5a - 2b + 3a + 7b?
- A. 13ab
- B. 8a - 9b
- C. 2a + 5b
- D. 8a + 5b
-
Which inequality is the solution of -3x > 12?
- A. x < -4
- B. x < 4
- C. x > -4
- D. x > 4
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Which expression is equivalent to 3(x + 4) - 2x?
- A. x + 7
- B. 5x + 12
- C. x + 12
- D. x + 4
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A gym charges $25 to join plus $15 per month. Leo has paid $130 in total. For how many months has he been a member?
- A. 7 months
- B. 8 months
- C. 10 months
- D. 5 months
Part 2: Written Response
- A printer prints 84 pages in 6 minutes at a constant rate. (a) Find the unit rate. (b) Write an equation relating pages p to minutes m. (c) How many minutes will it take to print 238 pages? Show your work.
Answer Key — Math 7 (Grade 7) Midterm — Semester 1, Form A
- C — 12 cups 8 is 4 times 2, so use 4 × 3 = 12 cups of flour.
- C — y = 4x Only y = kx form is proportional; y = 4x has k = 4 and no added constant.
- D — 87.5 miles 3.5 × 25 = 87.5 miles.
- C — 50 miles per hour Divide distance by time: 150 ÷ 3 = 50 miles per hour.
- C — 7 In y = kx, k is the constant of proportionality, so k = 7.
- D — 0.375 Divide 3 by 8 to get 0.375.
- A — -4 Multiply first: -2.5 × 4 = -10. Then -10 + 6 = -4.
- A — -1/4 Rewrite 1/2 as 2/4: -3/4 + 2/4 = -1/4.
- B — 42 A negative times a negative is positive: 6 × 7 = 42.
- D — -7°F 4 - 11 = -7, so the temperature was -7°F.
- D — x ≤ 5 Subtract 5 to get 3x ≤ 15, then divide by 3: x ≤ 5.
- D — 8a + 5b Combine like terms: 5a + 3a = 8a and -2b + 7b = 5b.
- A — x < -4 Divide by -3 and reverse the inequality sign: x < -4.
- C — x + 12 Distribute: 3x + 12 - 2x = x + 12.
- A — 7 months 25 + 15m = 130, so 15m = 105 and m = 7.
Written Response — Look-Fors
- Unit rate 84 ÷ 6 = 14 pages per minute; equation p = 14m; 238 ÷ 14 = 17. Final answer: 17 minutes.