NJGPA Algebra I and Geometry Concepts 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

Which equation represents a line with a y-intercept of -3 and a slope of 4?

Accepted Answer

y = 4x - 3

Answer

Slope-intercept form is y = mx + b, so y = 4x - 3 has slope 4 and y-intercept -3.

Question 3

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 4

Solve for x: 3(x - 4) = 2x + 1

Accepted Answer

x = 13

Answer

3x - 12 = 2x + 1, so x = 13.

Question 5

What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)

Accepted Answer

153.86 cm²

Answer

Area = πr² = 3.14 × 7² = 3.14 × 49 ≈ 153.86 cm².

(NJGPA) New Jersey Graduation Proficiency Assessment Practice Test