GED Mathematical Reasoning Algebra and Functions 3 — Questions and Answers
Question 1: Which of the following is the slope of the line passing through (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 2: If f(x) = 3x² - 2x + 1, what is f(-1)?
- 6 (Correct answer)
- 4
- 2
- 0
Correct answer: 6
f(-1) = 3(1) - 2(-1) + 1 = 3 + 2 + 1 = 6.
Question 3: What is the solution to the inequality 4x - 3 > 9?
- x > 1
- x > 3 (Correct answer)
- x < 3
- x > 6
Correct answer: x > 3
4x > 12, so x > 3.
Question 4: A linear function passes through (0, -4) and has a slope of 3. What is the equation?
- y = 3x + 4
- y = -4x + 3
- y = 3x - 4 (Correct answer)
- y = -3x + 4
Correct answer: y = 3x - 4
Using slope-intercept form y = mx + b with m = 3 and b = -4 gives y = 3x - 4.
Question 5: Which expression is equivalent to (2x³)(4x²)?
- 6x⁵
- 8x⁵ (Correct answer)
- 8x⁶
- 6x⁶
Correct answer: 8x⁵
Multiply coefficients 2 × 4 = 8 and add exponents 3 + 2 = 5, giving 8x⁵.
Question 6: What are the x-intercepts of the parabola y = x² - x - 6?
- x = 2 and x = -3
- x = -2 and x = 3 (Correct answer)
- x = 1 and x = -6
- x = 3 and x = 2
Correct answer: x = -2 and x = 3
Factor: (x - 3)(x + 2) = 0, so x = 3 or x = -2.
Question 7: If y varies directly with x and y = 15 when x = 5, what is y when x = 8?
- 20
- 24 (Correct answer)
- 30
- 40
Correct answer: 24
The constant of variation is k = 15/5 = 3, so y = 3(8) = 24.
GED Mathematical Reasoning Algebra and Functions 3
Which of the following is the slope of the line passing through (2, 5) and (6, 13)?