MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 3 — Questions and Answers
Question 1: What is the y-intercept of the line 3x - 4y = 12?
- y = 3
- y = -3 (Correct answer)
- y = 4
- y = -4
Correct answer: y = -3
Set x = 0: -4y = 12 → y = -3.
Question 2: A rectangular prism has length 5 cm, width 4 cm, and height 3 cm. What is its volume?
- 47 cm³
- 60 cm³ (Correct answer)
- 72 cm³
- 94 cm³
Correct answer: 60 cm³
Volume = l × w × h = 5 × 4 × 3 = 60 cm³.
Question 3: Which expression is equivalent to (x + 4)(x - 2)?
- x² + 2x - 8 (Correct answer)
- x² - 6x - 8
- x² + 6x + 8
- x² - 2x + 8
Correct answer: x² + 2x - 8
Using FOIL: x² - 2x + 4x - 8 = x² + 2x - 8.
Question 4: What is the perimeter of a regular hexagon with side length 7 cm?
- 35 cm
- 42 cm (Correct answer)
- 49 cm
- 56 cm
Correct answer: 42 cm
A regular hexagon has 6 equal sides: 6 × 7 = 42 cm.
Question 5: A line has slope -3 and passes through (1, 4). What is its equation?
- y = -3x + 7 (Correct answer)
- y = -3x + 1
- y = 3x + 7
- y = -3x - 7
Correct answer: y = -3x + 7
Using point-slope: y - 4 = -3(x - 1) → y = -3x + 7.
Question 6: What is the solution set of |2x - 6| = 10?
- x = 8 only
- x = -2 only
- x = 8 or x = -2 (Correct answer)
- x = 8 or x = 2
Correct answer: x = 8 or x = -2
2x - 6 = 10 gives x = 8; 2x - 6 = -10 gives x = -2.
Question 7: Two parallel lines are cut by a transversal. If one interior angle is 65°, what is its co-interior (same-side interior) angle?
- 65°
- 115° (Correct answer)
- 125°
- 130°
Correct answer: 115°
Co-interior angles are supplementary when lines are parallel: 180° - 65° = 115°.
MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 3
What is the y-intercept of the line 3x - 4y = 12?