Grade 9 Quiz Bee

What equation has an exponent of one and the graph of these equation results in a straight line.

• Cubic Equation

• Linear Equation

• Polynomial Equation

• Quadratic Equation

What is the standard form of 5(x² – 3x + 1) = 0?

• 5x² + 15x – 9 = 0

• 5x² – 15x = 5

• 5x² – 6x + 5 = 0

• 5x² – 15x + 5 = 0

Complete the expression

x² – 10x + ____ = 0 to form a perfect square trinomial.

• -25

• -5

• 5

• 25

The roots of quadratic equation

 $x^2-2x-24=0$  are _____________?

• -3 and 8

• 3 and -8

• -4 and 6

• 4 and -6

What is the first step in solving the equation  $3x^2+12x=9$  by completing the square?

• Factor the left side as 3x(x+4).

• Divide the whole equation by 3.

• Add 36 to each side of the equation.

• Extract the square roots of both sides of the equation.

What is the value of the discriminant and the nature of its roots of the expression x² + 8x + 12 = 0?

• 16, Roots are real, rational and unequal.

• 16, Roots are real, irrational and unequal.

• -16, Roots are not real.

• 0, Roots are real, rational and equal

Which of the following is the standard form of (s + 3)² + (2s + 5)² = 16?

• 5s² + 26s + 18 = 0

• 5s² + 14s + 18 = 0

• 5s² + 26s + 34 = 0

• 5s² + 14s + 34 = 0

The product of two consecutive even integers is 80. Find the two integers.

The sum and product of the roots of a quadratic equation are -3 and -28, respectively. Find the equation.

•  $x^2+3x+28=0$ 

• $x^2-3x+28=0$

• $x^2-3x-28=0$

• $x^2+3x-28=0$

The height of a right triangle is 3 meters more than the length of its base. If x = base with an area of 20 m², how long is the base of the triangle?