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
Which value of x satisfies 2^(x+1) = 16?
Answer: x = 3
16 = 2⁴, so 2^(x+1) = 2⁴ means x + 1 = 4, giving x = 3.
What is the period of the function y = cos(πx)?
Answer: 2
Period = 2π ÷ B = 2π ÷ π = 2.
Solve for x: |2x − 3| = 7
Answer: x = 5 or x = −2
Set 2x − 3 = 7 giving x = 5, and 2x − 3 = −7 giving x = −2.
What is the y-intercept of the function f(x) = 3x² − 4x + 2?
Answer: 2
The y-intercept occurs at x = 0: f(0) = 3(0) − 4(0) + 2 = 2.
Which of the following is a zero of f(x) = x³ − x² − 6x?
Answer: x = 3
Factor: x(x² − x − 6) = x(x − 3)(x + 2), so zeros are x = 0, x = 3, and x = −2.
A function is defined as f(x) = −2x + 7. Over which interval is f(x) > 0?
Answer: x < 7/2
Set −2x + 7 > 0 → −2x > −7 → x < 7/2 (inequality flips when dividing by a negative).