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Math 8 (Grade 8) Midterm — Semester 1, Form B

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Math Grade 8 15 multiple choice + 1 written

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.

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Math 8 (Grade 8) 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: Exponents & Scientific Notation · Real Numbers & the Pythagorean Theorem · Linear Equations

Part 1: Multiple Choice

  1. How is 0.00045 written in scientific notation?
    1. A. 4.5 × 10^4
    2. B. 4.5 × 10^-3
    3. C. 4.5 × 10^-4
    4. D. 4.5 × 10^-5
  2. Which expression is equal to (2^3)^2?
    1. A. 2^5
    2. B. 2^6
    3. C. 4^5
    4. D. 2^9
  3. What is 3.2 × 10^5 written in standard form?
    1. A. 320,000
    2. B. 3,200,000
    3. C. 0.000032
    4. D. 32,000
  4. Which expression is equal to 7^5 ÷ 7^3?
    1. A. 7^8
    2. B. 1^2
    3. C. 7^15
    4. D. 7^2
  5. What is the value of 4^(-2)?
    1. A. -8
    2. B. -16
    3. C. 1/16
    4. D. 1/8
  6. Which number is irrational?
    1. A. 2/3
    2. B. √25
    3. C. 0.75
    4. D. √10
  7. Which list orders the numbers from least to greatest?
    1. A. 8/3, 2.5, √8, 3
    2. B. 2.5, √8, 8/3, 3
    3. C. 2.5, 8/3, √8, 3
    4. D. 2.5, 8/3, 3, √8
  8. A right triangle has a hypotenuse of 13 inches and one leg of 5 inches. How long is the other leg?
    1. A. 18 inches
    2. B. 8 inches
    3. C. √194 inches
    4. D. 12 inches
  9. Which set of side lengths forms a right triangle?
    1. A. 7, 8, 10
    2. B. 5, 11, 12
    3. C. 9, 12, 15
    4. D. 4, 5, 6
  10. A right triangle has legs of 6 cm and 8 cm. How long is the hypotenuse?
    1. A. 10 cm
    2. B. 12 cm
    3. C. 100 cm
    4. D. 14 cm
  11. Gym A charges $30 per month plus $5 per visit. Gym B charges $10 per visit. For how many visits in a month do the gyms cost the same?
    1. A. 3 visits
    2. B. 2 visits
    3. C. 30 visits
    4. D. 6 visits
  12. Which equation describes a line with slope -3 and y-intercept 5?
    1. A. y = 3x + 5
    2. B. y = -3x - 5
    3. C. y = 5x - 3
    4. D. y = -3x + 5
  13. How many solutions does 2x + 7 = 2x - 3 have?
    1. A. Exactly one solution, x = 5
    2. B. No solution
    3. C. Exactly one solution, x = 0
    4. D. Infinitely many solutions
  14. Solve: 3(x - 2) = 2(x + 4)
    1. A. x = 10
    2. B. x = 14
    3. C. x = 2
    4. D. x = -14
  15. Which equation describes the line with slope 4/3 that passes through (0, -2)?
    1. A. y = -2x + 4/3
    2. B. y = (4/3)x - 2
    3. C. y = (4/3)x + 2
    4. D. y = (3/4)x - 2

Part 2: Written Response

  1. A rectangular park is 120 m wide and 160 m long. Instead of walking along two sides from one corner to the opposite corner, Sam walks straight along the diagonal. How long is the diagonal, and how many meters does Sam save? Show your work.

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