MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 5

Question 1

What is the distance between the points (1, 2) and (4, 6)?

Accepted Answer

5

Answer

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?

Accepted Answer

x = 2 is a root

Answer

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?

Accepted Answer

96 cm²

Answer

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?

Accepted Answer

32

Answer

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?

Accepted Answer

15

Answer

Hypotenuse = √(9² + 12²) = √(81 + 144) = √225 = 15.

MoGEA Test Practice Test