Math 8 (Grade 8) Midterm — Semester 1, Form A
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Free printable Math 8 midterm (Grade 8): 15 multiple-choice questions plus 1 written response covering Exponents & Scientific Notation, Real Numbers & the Pythagorean Theorem, Linear Equations. Answer key included — customize it in the Midterm Maker.
Math 8 (Grade 8) 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: Exponents & Scientific Notation · Real Numbers & the Pythagorean Theorem · Linear Equations
Part 1: Multiple Choice
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What is the value of 5^0?
- A. 1
- B. 0
- C. 5
- D. -5
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What is (8 × 10^9) ÷ (2 × 10^3)?
- A. 4 × 10^12
- B. 4 × 10^6
- C. 6 × 10^6
- D. 4 × 10^3
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How many times greater is 6 × 10^8 than 2 × 10^5?
- A. 3 × 10^4
- B. 4 × 10^3
- C. 3 × 10^13
- D. 3 × 10^3
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What is (3 × 10^4)(2 × 10^3)?
- A. 6 × 10^7
- B. 6 × 10^12
- C. 5 × 10^7
- D. 6 × 10^1
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Which expression is equal to 3^4 × 3^2?
- A. 9^6
- B. 3^8
- C. 3^2
- D. 3^6
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What is the distance between the points (1, 2) and (4, 6) on a coordinate plane?
- A. 7
- B. 5
- C. 25
- D. √13
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The decimal 0.333... has a 3 that repeats forever. Which fraction is equal to it?
- A. 1/30
- B. 33/100
- C. 1/3
- D. 3/10
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A 10-foot ladder leans against a wall. Its base is 6 feet from the wall. How high up the wall does the ladder reach?
- A. 8 feet
- B. √136 feet
- C. 16 feet
- D. 4 feet
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What is the cube root of 125?
- A. 5
- B. 25
- C. 375
- D. 15
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Between which two consecutive whole numbers does √50 lie?
- A. 6 and 7
- B. 7 and 8
- C. 24 and 26
- D. 8 and 9
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Solve: 0.5x - 1.2 = 0.3x + 0.4
- A. x = 0.8
- B. x = 2
- C. x = 4
- D. x = 8
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Solve: 5x + 3 = 2x + 18
- A. x = 3
- B. x = 7
- C. x = 5
- D. x = 15
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How many solutions does 4(x + 2) = 4x + 8 have?
- A. No solution
- B. Infinitely many solutions
- C. Exactly one solution, x = 0
- D. Exactly one solution, x = 2
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What is the slope of the line through (2, 3) and (6, 11)?
- A. 2
- B. 1/2
- C. 4
- D. -2
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Which equation has the solution x = -2?
- A. 3x + 10 = 4
- B. 5 - x = 3
- C. x + 6 = 4x
- D. 2x - 4 = 0
Part 2: Written Response
- The Sun is about 1.5 × 10^8 km from Earth. Light travels about 3 × 10^5 km per second. How many seconds does sunlight take to reach Earth? Give your answer in scientific notation and in minutes. Show your work.
Answer Key — Math 8 (Grade 8) Midterm — Semester 1, Form A
- A — 1 Any nonzero number raised to the zero power equals 1.
- B — 4 × 10^6 Divide 8 ÷ 2 = 4 and subtract exponents 9 - 3 = 6.
- D — 3 × 10^3 6 ÷ 2 = 3 and 10^8 ÷ 10^5 = 10^3.
- A — 6 × 10^7 Multiply 3 × 2 = 6 and add exponents 4 + 3 = 7.
- D — 3^6 Same base: add exponents, 4 + 2 = 6.
- B — 5 Legs are 3 and 4: √(3² + 4²) = √25 = 5.
- C — 1/3 1 ÷ 3 = 0.333... with the 3 repeating.
- A — 8 feet √(10² - 6²) = √64 = 8 feet.
- A — 5 5 × 5 × 5 = 125.
- B — 7 and 8 7² = 49 and 8² = 64, and 50 is between them.
- D — x = 8 0.2x = 1.6, so x = 8.
- C — x = 5 Subtract 2x and 3: 3x = 15, so x = 5.
- B — Infinitely many solutions Both sides simplify to 4x + 8, so every x works.
- A — 2 (11 - 3) ÷ (6 - 2) = 8 ÷ 4 = 2.
- A — 3x + 10 = 4 3(-2) + 10 = -6 + 10 = 4, so the equation is true.
Written Response — Look-Fors
- Divide (1.5 × 10^8) ÷ (3 × 10^5); 1.5 ÷ 3 = 0.5 and 10^8 ÷ 10^5 = 10^3; 0.5 × 10^3 rewritten as 5 × 10^2. Final answer: 5 × 10^2 = 500 seconds, about 8 1/3 minutes.