HS Math Flashcards
6 cards from real MAP practice questions. Tap to flip, then mark Knew It or Still Learning โ missed cards come back until you master them.
Read the first 6 HS Math flashcards as text
What are the solutions to x squared minus 5x plus 6 = 0?
Answer: x = 2 and x = 3
Factor: (x-2)(x-3) = 0. Solutions are x = 2 and x = 3.
Which of the following is the equation of a line perpendicular to y = 3x + 1?
Answer: y = -(1/3)x + 2
Perpendicular lines have slopes that are negative reciprocals. The slope of y=3x+1 is 3, so the perpendicular slope is -1/3. Only y = -(1/3)x + 2 has slope -1/3.
If f(x) = 2x squared minus 3, what is f(-2)?
Answer: 5
f(-2) = 2(-2)^2 - 3 = 2(4) - 3 = 8 - 3 = 5.
A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?
Answer: 13
Using the Pythagorean theorem: c^2 = 5^2 + 12^2 = 25 + 144 = 169. c = sqrt(169) = 13.
What is the simplified form of the square root of 72?
Answer: 6 times square root of 2
sqrt(72) = sqrt(36 times 2) = sqrt(36) times sqrt(2) = 6*sqrt(2).
The graph of y = x squared is shifted 3 units up and 2 units to the right. What is the new equation?
Answer: y = (x-2)^2 + 3
Shifting right by 2 replaces x with (x-2). Shifting up by 3 adds 3. New equation: y = (x-2)^2 + 3.