MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 4

Question 1

A square has a diagonal of length 8√2 cm. What is its area?

Accepted Answer

64 cm²

Answer

Diagonal = s√2 → s = 8; Area = 8² = 64 cm².

Question 2

Solve the system: x + y = 10 and x - y = 4. What is x?

Accepted Answer

7

Answer

Adding the equations: 2x = 14 → x = 7.

Question 3

What is the midpoint of the segment connecting (-3, 7) and (5, -1)?

Accepted Answer

(1, 3)

Answer

Midpoint = ((-3+5)/2, (7-1)/2) = (1, 3).

Question 4

Which inequality represents all numbers less than 5 units away from zero on the number line?

Accepted Answer

|x| < 5

Answer

|x| < 5 means -5 < x < 5, which is all numbers within 5 units of zero.

Question 5

A cone has radius 3 cm and height 4 cm. What is its slant height?

Accepted Answer

5 cm

Answer

Slant height = √(r² + h²) = √(9 + 16) = √25 = 5 cm.

MoGEA Test Practice Test