Mastering Advanced Mathematics

Simplify the expression: 3x + 5 - 2x + 7.

• x + 5

• x + 12

• 2x + 10

• 3x + 2

Solve the quadratic equation: x^2 - 5x + 6 = 0.

• x = 2, x = 3

• x = -2, x = -3

• x = 0, x = 5

• x = 1, x = 4

Find the derivative of the function: f(x) = 3x^3 - 4x^2 + 2.

• 9x^2 - 8x

• 3x^2 - 4

• 9x^3 - 8x

• 6x^2 - 4x + 2

If the ratio of boys to girls in a class is 3:4 and there are 28 students, how many boys are there?

• 12

• 14

• 16

• 10

Evaluate the integral: ∫(2x^2 + 3x)dx from 1 to 3.

• 25.5

• 30.0

• 29.3333

• 27.75

What is the value of x in the equation: 2x + 3 = 11?

• x = 4

• x = 3

• x = 5

• x = 2

Calculate the area of a triangle with a base of 10 units and a height of 5 units.

• 25 square units

• 50 square units

• 15 square units

• 30 square units

What is the derivative of the function f(x) = 3x^2 + 2x?

• 6x + 2

• 3x + 2

• 3x^2 + 2

• 2x + 3

Simplify the expression: 4(2x + 3) - 2(x - 1).

• 10x + 14

• 6x + 14

• 8x + 10

• 10x + 6

A car travels 150 kilometers in 2 hours. What is its average speed in kilometers per hour?

• 60

• 75

• 80

• 90