Algebra Fundamentals Flashcards
6 cards from real ALEKS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Algebra Fundamentals flashcards as text
What is the value of f(3) if f(x) = 2x² - 5?
Answer: 13
f(3) = 2(3)² - 5 = 2(9) - 5 = 18 - 5 = 13.
Which of the following is NOT a function?
Answer: x = 3
x = 3 is a vertical line, which fails the vertical line test and is not a function.
Solve the system: x + y = 7 and x - y = 3
Answer: x = 5, y = 2
Adding the equations gives 2x = 10, so x = 5; substituting back gives y = 2.
What is the product of (2x + 3)(x - 4)?
Answer: 2x² - 5x - 12
Using FOIL: 2x² - 8x + 3x - 12 = 2x² - 5x - 12.
What are the solutions to x² - 5x + 6 = 0?
Answer: x = 2 and x = 3
Factor as (x - 2)(x - 3) = 0, giving solutions x = 2 and x = 3.
If y varies directly with x and y = 15 when x = 3, what is y when x = 7?
Answer: 35
The constant of variation k = y/x = 15/3 = 5, so y = 5(7) = 35.