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
What is the value of sin(30°)?
Answer: 1/2
sin(30°) equals 1/2 by the standard 30-60-90 triangle.
In a geometric sequence with first term 3 and ratio 2, what is the 4th term?
Answer: 24
aₙ = 3·2³ = 3·8 = 24.
What is the average rate of change of f(x) = x² from x = 1 to x = 3?
Answer: 4
(f(3)-f(1))/(3-1) = (9-1)/2 = 4.
Solve: 2ˣ = 16.
Answer: 4
16 = 2⁴, so x = 4.
What is the equation of a circle with center (0, 0) and radius 5?
Answer: x² + y² = 25
Standard form gives x²+y²=r²=25.
If two events are independent with P(A)=0.4 and P(B)=0.5, what is P(A and B)?
Answer: 0.2
For independent events, multiply: 0.4·0.5 = 0.2.
What is the y-intercept of y = 3x - 7?
Answer: -7
In y=mx+b, b is the y-intercept, here -7.