ALEKS Algebra Fundamentals 2 — Questions and Answers
Question 1: What is the value of f(3) if f(x) = 2x² - 5?
- 13 (Correct answer)
- 7
- 18
- 1
Correct answer: 13
f(3) = 2(3)² - 5 = 2(9) - 5 = 18 - 5 = 13.
Question 2: Which of the following is NOT a function?
- x = 3 (Correct answer)
- y = x²
- y = 2x + 1
- y = |x|
Correct answer: x = 3
x = 3 is a vertical line, which fails the vertical line test and is not a function.
Question 3: Solve the system: x + y = 7 and x - y = 3
- x = 5, y = 2 (Correct answer)
- x = 3, y = 4
- x = 4, y = 3
- x = 2, y = 5
Correct answer: x = 5, y = 2
Adding the equations gives 2x = 10, so x = 5; substituting back gives y = 2.
Question 4: What is the product of (2x + 3)(x - 4)?
- 2x² - 5x - 12 (Correct answer)
- 2x² + 5x - 12
- 2x² - 5x + 12
- x² - 5x - 12
Correct answer: 2x² - 5x - 12
Using FOIL: 2x² - 8x + 3x - 12 = 2x² - 5x - 12.
Question 5: What are the solutions to x² - 5x + 6 = 0?
- x = 2 and x = 3 (Correct answer)
- x = -2 and x = -3
- x = 1 and x = 6
- x = 2 and x = -3
Correct answer: x = 2 and x = 3
Factor as (x - 2)(x - 3) = 0, giving solutions x = 2 and x = 3.
Question 6: If y varies directly with x and y = 15 when x = 3, what is y when x = 7?
- 35 (Correct answer)
- 21
- 30
- 14
Correct answer: 35
The constant of variation k = y/x = 15/3 = 5, so y = 5(7) = 35.
ALEKS Algebra Fundamentals 2
What is the value of f(3) if f(x) = 2x² - 5?