Grade 11 Math Challenge

Simplify the expression: 3x^2 + 2x - 5

• 3x^2 + 2x + 5

• 3x^2 - 2x - 5

• 3x^2 + 2x - 5

• 3x^2 + 2x + 5

Find the roots of the quadratic equation: x^2 - 4x + 4 = 0

• x = -2

• x = 3

• x = 5

• x = 2

Evaluate the exponential function: f(x) = 2^x when x = 3

• 6

• 10

• 4

• 8

Solve the trigonometric identity: sin^2(x) + cos^2(x) = 1

• 1

• sin(x) - cos(x) = 1

• tan^2(x) + sec^2(x) = 1

• sin(x) + cos(x) = 1

Calculate the probability of rolling a prime number on a fair six-sided die

• 1/4

• 1/3

• 1/2

• 1/5

Factorize the expression: x^2 + 5x + 6

• (x + 2)(x + 3)

• (x + 3)(x + 4)

• (x + 1)(x + 6)

• (x + 4)(x + 2)

Determine the vertex of the parabola given by the equation: y = x^2 - 4x + 3

• (3, 2)

• (4, 1)

• (1, 3)

• (2, 3)

Simplify the exponential expression: e^(2ln(x))

• x^ln(2)

• x^2

• 2^x

• ln(x^2)

Prove the trigonometric identity: tan(x) = sin(x)/cos(x)

• tan(x) = sin^2(x)/cos(x)

• tan(x) = sin(x)/cos(x)

• tan(x) = cos(x)/sin(x)

• tan(x) = cos(x)/sin(x)

Find the mean of the following data set: {2, 4, 6, 8, 10}

• 4

• 6

• 7

• 12