MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 5 — Questions and Answers
Question 1: What is the distance between the points (1, 2) and (4, 6)?
- 3
- 4
- 5 (Correct answer)
- 7
Correct answer: 5
Distance = √((4-1)² + (6-2)²) = √(9+16) = √25 = 5.
Question 2: If a polynomial is divided by (x - 2) with no remainder, which of the following must be true?
- x = 0 is a root
- x = 2 is a root (Correct answer)
- x = -2 is a root
- The polynomial is quadratic
Correct answer: x = 2 is a root
By the Factor Theorem, if (x - 2) divides evenly, then x = 2 is a root.
Question 3: What is the surface area of a cube with side length 4 cm?
- 64 cm²
- 96 cm² (Correct answer)
- 48 cm²
- 192 cm²
Correct answer: 96 cm²
A cube has 6 faces, each with area 4² = 16; total = 6 × 16 = 96 cm².
Question 4: Which value of x satisfies log₂(x) = 5?
- 10
- 16
- 25
- 32 (Correct answer)
Correct answer: 32
log₂(x) = 5 means 2⁵ = x = 32.
Question 5: In a right triangle, the two legs measure 9 and 12. What is the length of the hypotenuse?
- 13
- 14
- 15 (Correct answer)
- 16
Correct answer: 15
Hypotenuse = √(9² + 12²) = √(81 + 144) = √225 = 15.
Question 6: Which expression represents the sum of three consecutive even integers starting with n?
- 3n + 6 (Correct answer)
- 3n + 3
- 3n + 4
- n + n+2 + n+4
Correct answer: 3n + 6
n + (n+2) + (n+4) = 3n + 6.
Question 7: A circle is inscribed in a square with side length 10 cm. What is the area of the circle? (Use π ≈ 3.14)
- 31.4 cm²
- 62.8 cm²
- 78.5 cm² (Correct answer)
- 314 cm²
Correct answer: 78.5 cm²
The circle's diameter equals the side length, so radius = 5; Area = 3.14 × 25 = 78.5 cm².
MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 5
What is the distance between the points (1, 2) and (4, 6)?