MoGEA Test Missouri General Education Assessment: Algebra and Geometry Practice Questions 2

Question 1

What is the slope of the line passing through the points (2, 5) and (6, 13)?

Accepted Answer

2

Answer

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?

Accepted Answer

60°

Answer

The sum of angles in a triangle is 180°, so 180 - 45 - 75 = 60°.

Question 3

Simplify: 3x² + 5x - 2x² - 3x + 7

Accepted Answer

x² + 2x + 7

Answer

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)

Accepted Answer

78.5 cm²

Answer

Radius = 5, Area = π r² = 3.14 × 25 = 78.5 cm².

Question 5

Solve for x: 4(x - 3) = 2x + 6

Accepted Answer

x = 9

Answer

4x - 12 = 2x + 6 → 2x = 18 → x = 9.

MoGEA Test Practice Test