Bachelor of Liberal Arts For Math Flashcards
7 cards from real B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Bachelor of Liberal Arts For Math flashcards as text
A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue marble?
Answer: 3/12
There are 3 blue marbles out of 4+3+5=12 total, so P(blue) = 3/12 = 1/4.
What is the solution to the system: 2x + y = 7 and x - y = 2?
Answer: x=3, y=1
Adding the equations gives 3x = 9, so x = 3; substituting back gives y = 1.
Which of the following best describes an irrational number?
Answer: A number whose decimal expansion is non-terminating and non-repeating
Irrational numbers have decimal expansions that neither terminate nor repeat, such as √2 or π.
What is the area of a circle with diameter 10?
Answer: 25π
Radius = 5, so Area = πr² = π(5²) = 25π.
If f(x) = 2x + 1, what is f⁻¹(x)?
Answer: (x - 1)/2
Swap x and y: x = 2y + 1, then solve for y: y = (x - 1)/2.
What is the greatest common divisor (GCD) of 48 and 36?
Answer: 12
The prime factorizations are 48 = 2⁴×3 and 36 = 2²×3², so GCD = 2²×3 = 12.
What is the value of the expression 4! + 3!?
Answer: 30
4! = 24 and 3! = 6, so 4! + 3! = 30.