WEDNESDAY_Grade9_Activity

Which of the following is a quadratic inequality?

• x^2 + 9x + 20 = 0

• 2s^2 + 7s + 5 > 0

• 15 - 6h^2 = 100

• m^2 = 6m - 7

Which of the following is NOT a quadratic inequality?

• r^2 + 10r <= -16

• 3w^2 + 12w >= 0

• 4x^2 - 25 = 0

• 2t^2 < 21 - 9t

What defines a quadratic inequality?

• An equation with a polynomial of degree 2.

• An inequality with a polynomial of degree 1.

• An inequality with a polynomial of degree 2.

• An equation with any degree polynomial.

In a quadratic inequality written in the form ax^2 + bx + c > 0, what must be true about the coefficient 'a'?

• a must be equal to 0.

• a must be greater than 0.

• a must not be equal to 0.

• a can be any real number.

What happens if the coefficient 'a' in a quadratic inequality (ax^2 + bx + c > 0) is equal to zero?

• The inequality becomes a quadratic equation.

• The inequality becomes a linear inequality.

• The inequality becomes undefined.

• The inequality remains quadratic.

Is x^2 + 9x + 14 > 0 a quadratic inequality?

• No, because it contains an inequality symbol.

• Yes, because it has a degree of 2 and an inequality symbol.

• No, because the coefficient of x^2 is 1.

• Yes, because it is written in the form ax^2 + bx + c = 0.

Is 3x^2 - 4x = 1 a quadratic inequality?

• Yes, because it has a degree of 2.

• No, because it is a quadratic equation.

• Yes, because it contains real numbers.

• No, because the coefficient of x is negative.

Is (2x - 3)(x + 2) > 0 a quadratic inequality?

• No, because it is in factored form.

• Yes, because when simplified, it results in a polynomial of degree 2 with an inequality symbol.

• No, because it does not have a constant term.

• Yes, because it contains only two terms.

Which of the following is a quadratic inequality?

• (2x - 3)(x + 2) > 0

• 2x - 3 = 0

• x + 2 < 0

• 2x^3 + x - 6 > 0

Which of the following mathematical sentences is NOT a quadratic inequality?

• 2x^2 + x - 6 > 0

• 3x^2 + 18 < 3(x^2 - 4x)

• x^2 + 5x - 10 <= 0

• 4x^2 - 7x + 2 >= 0