2025 Math Competition Round 1

Factor the polynomial: x^2 - 5x + 6.

• (x + 2)(x + 3)

• (x - 1)(x - 6)

• (x + 1)(x + 6)

• (x - 2)(x - 3)

Solve the quadratic equation: x^2 + 4x - 12 = 0.

• x = 0, x = -8

• x = 1, x = -12

• x = 2, x = -6

• x = 3, x = -4

Graph the linear function: y = 2x + 3.

• The graph of the linear function y = 2x + 3 is a parabola opening upwards.

• The graph of the linear function y = 2x + 3 is a straight line with a y-intercept at (0, 3) and a slope of 2.

• The function y = 2x + 3 is a horizontal line with a slope of 0.

• The graph has a y-intercept at (0, 2) and a slope of 3.

Simplify the rational expression: (x^2 - 9)/(x - 3).

• x - 3

• x^2 + 3

• x^2 - 9

• x + 3

Apply the quadratic formula to: 2x^2 - 4x - 6 = 0.

• x = 0, -3

• x = 4, -2

• x = 3, -1

• x = 2, 1

Identify the slope of the linear function: y = -3x + 7.

• 2

• -3

• -1

• 4

Solve the system of equations: 2x + 3y = 6 and x - y = 2.

• (12/5, 2/5)

• (2, 0)

• (0, 2)

• (3, 1)

Factor the polynomial: x^2 + 7x + 10.

• (x + 2)(x + 5)

• (x - 2)(x - 5)

• (x + 1)(x + 10)

• (x + 3)(x + 4)

Find the roots of the quadratic equation: x^2 - 8x + 15 = 0.

• x = 2, x = 6

• x = 1, x = 15

• x = 4, x = 4

• x = 3, x = 5

Graph the linear function: y = 1/2x - 1.

• Graph the line with points (1, 0) and (3, 1) and extend it.

• Graph the line with points (-1, 0) and (1, -1) and extend it.

• Graph the line with points (0, 1) and (2, 2) and extend it.

• Graph the line with points (0, -1) and (2, -0.5) and extend it.