Mathematics Challenge

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

• 3x^2 - 2x - 5

• 3x^2 + 2x + 5

• 3x^2 + 2x - 5

• 3x^2 + 2x + 5x

Graph the linear equation: y = 2x + 3

• The graph of the linear equation y = 2x + 3 is a straight line passing through the points (0, 3) and (1, 5).

• The graph is a hyperbola

• The graph is a parabola

• The graph is a circle

Solve the system of equations: 2x + y = 5 and x - y = 1

• x = 4, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 0, y = -1

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

• x = 3

• x = 1

• x = -2

• x = 2

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

• 6

• 8

• 4

• 10

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

• sin(x) + cos(x) = 1

• tan(x) = 1

• sin(x) * cos(x) = 1

• sin^2(x) + cos^2(x) = 1

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

• (x + 1)(x + 6)

• (x - 2)(x - 3)

• (x + 2)(x + 3)

• (x + 4)(x + 2)

Determine the slope of the line passing through the points (2, 3) and (4, 7)

• 2

• 4

• 3

• 1

Solve the system of equations: 3x - 2y = 4 and 2x + y = 1

• x = 3, y = -2

• x = 0, y = 1

• x = 2, y = -3

• x = -1, y = 0

Find the value of x in the equation: 4x^2 - 12x + 9 = 0

• x = 3

• x = 2

• x = 4

• x = 1.5