College Algebra and Trigonometry Flashcards

6 cards from real COMPASS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 College Algebra and Trigonometry flashcards as text

If log(x) = 3, what is x?
Answer: 1000
log₁₀(x) = 3 means 10³ = x = 1000.
What is the value of tan(45°)?
Answer: 1
tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.
Which conic section is described by the equation x² + y² = 25?
Answer: Circle
An equation of the form x² + y² = r² represents a circle with radius r.
Simplify: log(100) + log(10)
Answer: 3
log(100) = 2 and log(10) = 1, so 2 + 1 = 3.
What are the solutions to x² + 4x + 4 = 0?
Answer: x = −2 (double root)
x² + 4x + 4 = (x + 2)² = 0, so x = −2 is a repeated root.
What is the range of f(x) = x²?
Answer: y ≥ 0
x² is always non-negative, so the range is y ≥ 0.