MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 2 — Questions and Answers
Question 1: What is the slope of the line passing through the points (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 2: A triangle has angles measuring 45° and 75°. What is the measure of the third angle?
- 50°
- 60° (Correct answer)
- 70°
- 80°
Correct answer: 60°
The sum of angles in a triangle is 180°, so 180 - 45 - 75 = 60°.
Question 3: Simplify: 3x² + 5x - 2x² - 3x + 7
- x² + 2x + 7 (Correct answer)
- 5x² + 2x + 7
- x² - 2x + 7
- x² + 8x + 7
Correct answer: x² + 2x + 7
Combining like terms: (3-2)x² + (5-3)x + 7 = x² + 2x + 7.
Question 4: What is the area of a circle with diameter 10 cm? (Use π ≈ 3.14)
- 31.4 cm²
- 62.8 cm²
- 78.5 cm² (Correct answer)
- 314 cm²
Correct answer: 78.5 cm²
Radius = 5, Area = π r² = 3.14 × 25 = 78.5 cm².
Question 5: Solve for x: 4(x - 3) = 2x + 6
- x = 6
- x = 7
- x = 8
- x = 9 (Correct answer)
Correct answer: x = 9
4x - 12 = 2x + 6 → 2x = 18 → x = 9.
Question 6: Which set of side lengths could form a right triangle?
- 5, 10, 12
- 6, 8, 10 (Correct answer)
- 7, 9, 12
- 4, 6, 9
Correct answer: 6, 8, 10
6² + 8² = 36 + 64 = 100 = 10², satisfying the Pythagorean theorem.
Question 7: If f(x) = 2x² - 3, what is f(-2)?
- 1
- 5 (Correct answer)
- 11
- -5
Correct answer: 5
f(-2) = 2(-2)² - 3 = 2(4) - 3 = 8 - 3 = 5.
MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 2
What is the slope of the line passing through the points (2, 5) and (6, 13)?