Advanced Mathematics Flashcards

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

Read the first 7 Advanced Mathematics flashcards as text

Solve for x: 3(x - 2) = 2x + 5.
Answer: 11
3x-6=2x+5, so x=11.
What is the discriminant of x² + 4x + 5 = 0?
Answer: -4
b²-4ac = 16-20 = -4.
A negative discriminant means a quadratic has what kind of roots?
Answer: Two complex roots
A negative discriminant yields two complex conjugate roots.
What is (3 + 2i) + (1 - 5i)?
Answer: 4 - 3i
Add real and imaginary parts: (3+1)+(2-5)i = 4-3i.
Factor completely: x² - 16.
Answer: (x - 4)(x + 4)
Difference of squares: x²-16 = (x-4)(x+4).
What is the domain of f(x) = 1/(x - 3)?
Answer: All real numbers except 3
The denominator cannot be zero, so x ≠ 3.
If a function is increasing on an interval, its slope on that interval is:
Answer: Positive
An increasing function has a positive rate of change.