NJGPA Algebra I and Geometry Concepts 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: Which equation represents a line with a y-intercept of -3 and a slope of 4?
- y = -3x + 4
- y = 4x - 3 (Correct answer)
- y = 4x + 3
- y = -3x - 4
Correct answer: y = 4x - 3
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?
- 50°
- 55°
- 60° (Correct answer)
- 65°
Correct answer: 60°
The sum of angles in a triangle is 180°, so 180 - 45 - 75 = 60°.
Question 4: Solve for x: 3(x - 4) = 2x + 1
- x = 11
- x = 13 (Correct answer)
- x = 7
- x = 5
Correct answer: x = 13
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)
- 43.96 cm²
- 153.86 cm² (Correct answer)
- 21.98 cm²
- 196 cm²
Correct answer: 153.86 cm²
Area = πr² = 3.14 × 7² = 3.14 × 49 ≈ 153.86 cm².
Question 6: If f(x) = 2x² - 3x + 1, what is f(3)?
- 8
- 10 (Correct answer)
- 12
- 14
Correct answer: 10
f(3) = 2(9) - 3(3) + 1 = 18 - 9 + 1 = 10.
Question 7: Two parallel lines are cut by a transversal. If one alternate interior angle measures 72°, what is the measure of the other alternate interior angle?
- 108°
- 72° (Correct answer)
- 18°
- 36°
Correct answer: 72°
Alternate interior angles are congruent when lines are parallel, so the angle is also 72°.
NJGPA Algebra I and Geometry Concepts 2
What is the slope of the line passing through the points (2, 5) and (6, 13)?