MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 4 — Questions and Answers
Question 1: A square has a diagonal of length 8√2 cm. What is its area?
- 32 cm²
- 64 cm² (Correct answer)
- 128 cm²
- 256 cm²
Correct answer: 64 cm²
Diagonal = s√2 → s = 8; Area = 8² = 64 cm².
Question 2: Solve the system: x + y = 10 and x - y = 4. What is x?
- 3
- 5
- 7 (Correct answer)
- 9
Correct answer: 7
Adding the equations: 2x = 14 → x = 7.
Question 3: What is the midpoint of the segment connecting (-3, 7) and (5, -1)?
- (1, 3) (Correct answer)
- (1, 4)
- (2, 3)
- (4, 3)
Correct answer: (1, 3)
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?
- |x| > 5
- |x| < 5 (Correct answer)
- |x| ≥ 5
- x < -5
Correct answer: |x| < 5
|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?
- 4 cm
- 5 cm (Correct answer)
- 6 cm
- 7 cm
Correct answer: 5 cm
Slant height = √(r² + h²) = √(9 + 16) = √25 = 5 cm.
Question 6: Which quadratic equation has roots x = 3 and x = -5?
- x² - 2x - 15 = 0
- x² + 2x - 15 = 0 (Correct answer)
- x² - 2x + 15 = 0
- x² + 8x + 15 = 0
Correct answer: x² + 2x - 15 = 0
(x - 3)(x + 5) = x² + 5x - 3x - 15 = x² + 2x - 15 = 0.
Question 7: An exterior angle of a triangle measures 110°. If one non-adjacent interior angle is 45°, what is the other non-adjacent interior angle?
- 45°
- 55°
- 65° (Correct answer)
- 70°
Correct answer: 65°
An exterior angle equals the sum of the two non-adjacent interior angles: 110° - 45° = 65°.
MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 4
A square has a diagonal of length 8√2 cm.
What is its area?