Mathematics Mastery Challenge

Simplify the expression: 3x + 2y - 5x - 4y

• 2x + 5y

• 3x - 4y

• -2x - 2y

• 5x + 2y

Find the derivative of f(x) = 3x^2 + 5x - 2

• f'(x) = 3x^2 + 5x - 2

• f'(x) = 6x - 5

• f'(x) = 3x^2 + 5

• f'(x) = 6x + 5

What is the probability of rolling a 5 on a fair six-sided die?

• 1/6

• 2/7

• 1/3

• 1/5

Calculate the mean, median, and mode of the following data set: 5, 7, 8, 9, 5, 6, 7, 8, 9

• mean: 6.5, median: 6, mode: [5, 7, 8, 9]

• {'mean': 7.11, 'median': 7, 'mode': [5, 7, 8, 9]}

• mean: 7, median: 7, mode: [5, 6, 7, 8, 9]

• mean: 7.5, median: 8, mode: [5, 7, 8, 9]

Find the area of a triangle with base 6 cm and height 8 cm

• The area of the triangle is 48 square cm

• The area of the triangle is 24 square cm

• The area of the triangle is 12 square cm

• The area of the triangle is 10 square cm

Solve for x in the equation: 2sin(x) = 1

• x = 2π/3 or 120 degrees

• x = π/4 or 45 degrees

• x = π/6 or 30 degrees

• x = π/3 or 60 degrees

Factorize the expression: x^2 - 4

• (x^2-2)

• (x+2)(x-2)

• (x-4)(x+1)

• (x+3)(x-1)

Determine the limit of the function f(x) = (x^2 - 4) / (x - 2) as x approaches 2

• 4

• 2

• 0

• 6

If two events A and B are independent, what is P(A and B)?

• P(A) / P(B)

• P(A) * P(B)

• P(A) - P(B)

• P(A) + P(B)

In a class of 30 students, 18 study Mathematics and 16 study Physics. How many students study both subjects?

• 10

• 12

• 20

• 4