Math 8 (Grade 8) Midterm — Quick Check, Units 1–3
← Midterm Library / Math / Math 8
Free printable Math 8 midterm (Grade 8): 10 multiple-choice questions 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 — Quick Check, Units 1–3
Name: Date: Period:
Directions: Read each question carefully and choose the best answer.
Covers: Exponents & Scientific Notation · Real Numbers & the Pythagorean Theorem · Linear Equations
Part 1: Multiple Choice
-
Which expression is equal to (2^3)^2?
- A. 2^5
- B. 2^6
- C. 4^5
- D. 2^9
-
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
-
How is 0.00045 written in scientific notation?
- A. 4.5 × 10^4
- B. 4.5 × 10^-3
- C. 4.5 × 10^-4
- D. 4.5 × 10^-5
-
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
-
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
-
A right triangle has legs of 6 cm and 8 cm. How long is the hypotenuse?
- A. 10 cm
- B. 12 cm
- C. 100 cm
- D. 14 cm
-
Solve: 0.5x - 1.2 = 0.3x + 0.4
- A. x = 0.8
- B. x = 2
- C. x = 4
- D. x = 8
-
Which equation describes a line with slope -3 and y-intercept 5?
- A. y = 3x + 5
- B. y = -3x - 5
- C. y = 5x - 3
- D. y = -3x + 5
-
What is the slope of the line through (2, 3) and (6, 11)?
- A. 2
- B. 1/2
- C. 4
- D. -2
-
Which equation describes the line with slope 4/3 that passes through (0, -2)?
- A. y = -2x + 4/3
- B. y = (4/3)x - 2
- C. y = (4/3)x + 2
- D. y = (3/4)x - 2
Answer Key — Math 8 (Grade 8) Midterm — Quick Check, Units 1–3
- B — 2^6 Power of a power: multiply exponents, 3 × 2 = 6.
- D — 3 × 10^3 6 ÷ 2 = 3 and 10^8 ÷ 10^5 = 10^3.
- C — 4.5 × 10^-4 Move the decimal 4 places right to get 4.5, so the exponent is -4.
- C — 1/3 1 ÷ 3 = 0.333... with the 3 repeating.
- A — 8 feet √(10² - 6²) = √64 = 8 feet.
- A — 10 cm 6² + 8² = 36 + 64 = 100, and √100 = 10.
- D — x = 8 0.2x = 1.6, so x = 8.
- D — y = -3x + 5 Slope-intercept form is y = mx + b with m = -3, b = 5.
- A — 2 (11 - 3) ÷ (6 - 2) = 8 ÷ 4 = 2.
- B — y = (4/3)x - 2 The point (0, -2) is the y-intercept, so b = -2 and m = 4/3.