ACCUPLACER Advanced Algebra and Functions Test Flashcards
6 cards from real Accuplacer College Placement practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 ACCUPLACER Advanced Algebra and Functions Test flashcards as text
What are the solutions to x² − 5x + 6 = 0?
Answer: x = 2 and x = 3
Factor as (x − 2)(x − 3) = 0, giving x = 2 and x = 3.
Which of the following is the inverse function of f(x) = 3x − 6?
Answer: f⁻¹(x) = (x + 6)/3
Swap x and y in y = 3x − 6, then solve for y: x = 3y − 6 → y = (x + 6)/3.
What is the vertex of the parabola y = (x − 3)² + 5?
Answer: (3, 5)
In vertex form y = (x − h)² + k, the vertex is (h, k) = (3, 5).
Evaluate: log₂(32)
Answer: 5
2⁵ = 32, so log₂(32) = 5.
If f(x) = x² + 1 and g(x) = 2x, what is f(g(3))?
Answer: 37
g(3) = 6, then f(6) = 6² + 1 = 37.
Which expression is equivalent to (2x³y²)²?
Answer: 4x⁶y⁴
Square each factor: 2² = 4, (x³)² = x⁶, (y²)² = y⁴, giving 4x⁶y⁴.