Mathematics Mastery

Solve for x: 2x + 5 = 15

• x = 5

• x = 3

• x = 7

• x = 10

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

• 14 cm²

• 24 cm²

• 30 cm²

• 10 cm²

Calculate the value of sin(60°)

• 1.732

• 0.866

• 0.5

• 1.414

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

• 3x^2 + 5x - 2

• 6x + 5

• 9x + 3

• 12x - 7

In a statistics class, 60% of the students are girls. If a student is selected at random, what is the probability that the student is a girl?

• 1.00

• 0.40

• 0.60

• 0.25

A bag contains 4 red, 3 blue, and 5 green marbles. If a marble is chosen at random, what is the probability of getting a blue marble?

• 3/12

• 5/12

• 2/12

• 1/12

Solve for y: 3y - 7 = 20

• y = 9

• y = 15

• y = 12

• y = 6

Find the perimeter of a rectangle with length 10 cm and width 5 cm

• 50 cm

• 25 cm

• 15 cm

• 30 cm

If sin(θ) = 0.8, find the value of cos(θ)

• 0.6

• 0.9

• 1.2

• 0.4

Find the integral of f(x) = 2x^3 + 3x^2 - 5x + 7

• ∫(2x^3 + 3x^2 - 5x + 7)dx = (2/4)x^4 + (3/3)x^3 - (5/2)x^2 + 7x

• ∫(2x^3 + 3x^2 - 5x + 7)dx = (2/4)x^4 + (3/3)x^3 - (5/2)x^2 + 7x + C

• ∫(2x^3 + 3x^2 - 5x + 7)dx = (1/2)x^4 + (3/3)x^3 - (5/2)x^2 + 7x + C

• ∫(2x^3 + 3x^2 - 5x + 7)dx = (2/3)x^4 + (3/2)x^3 - (5/4)x^2 + 7x + C