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
Solve the system: 2x + y = 7 and x − y = 2.
Answer: x = 3, y = 1
Add the two equations to eliminate y: 3x = 9, so x = 3; then y = 7 − 2(3) = 1.
What is the domain of f(x) = 1/(x − 4)?
Answer: x ≠ 4
The function is undefined when the denominator equals zero, i.e., when x = 4, so the domain is all real numbers except 4.
Which equation represents exponential decay?
Answer: y = 3(0.8)ˣ
A base between 0 and 1 (like 0.8) causes the function to decrease, representing exponential decay.
What is the remainder when x³ − 2x + 4 is divided by (x − 1)?
Answer: 3
By the Remainder Theorem, substitute x = 1: 1 − 2 + 4 = 3.
Simplify: √(75)
Answer: 5√3
75 = 25 × 3, so √75 = √25 · √3 = 5√3.
What is the amplitude of y = 4sin(2x)?
Answer: 4
The amplitude of y = A·sin(Bx) is |A|, which is 4.