Grade 12 Math Quiz

What is the derivative of f(x) = 3x^2 + 4x - 7?

• 5x^2 + 4x

• 9x + 2

• 2x^2 + 4

• 6x + 4

Solve for x: sin(x) = 0.5

• x = 2π/3 + 2πn or x = 4π/3 + 2πn

• x = π/6 + 2πn or x = 5π/6 + 2πn

• x = 3π/2 + 2πn or x = 7π/6 + 2πn

• x = π/4 + 2πn or x = 3π/4 + 2πn

Find the determinant of the matrix: [[3, 1], [5, 2]]

• 10

• 5

• 0

• 1

Solve the differential equation: dy/dx = 2x + 3

• y = 2x^2 + 3

• y = 2x^2 + 3x

• y = x^2 + 3x + C

• y = 2x^2 + 3x + C

Simplify the expression: (2x^2 + 5x - 3) / (x^2 - 4)

• (2x - 3) / (x - 2)

• (2x + 3) / (x - 2)

• (2x - 3) / (x + 2)

• (2x + 3) / (x + 2)

What is the integral of f(x) = 4x^3 + 2x^2 - 5x + 7?

• 8x^4 + 4x^3 - 10x^2 + 14x + C

• 4x^4 + 2x^3 - 5x^2 + 7x + C

• 16x^2 + 4x - 5 + 7x + C

• x^4 + (2/3)x^3 - (5/2)x^2 + 7x + C

Find the value of cos(60 degrees)

• 0.25

• 1.5

• 2

• 0.5

Solve the system of linear equations: 2x + 3y = 10, 4x - y = 5

• x = 3, y = 2

• x = 5, y = 1

• x = 1, y = 3

• x = 2, y = 4

What is the solution to the equation: e^x = 10

• x = 10

• x = log(10)

• x = ln(10)

• x = e^10

Simplify the trigonometric expression: sin^2(x) + cos^2(x)

• sin(x) + cos(x)

• 1

• sin(x) - cos(x)

• tan(x)