This math topic focuses on calculating the discriminant of quadratic equations, which is crucial for determining the nature of the roots (real or complex) and how many real roots the equation has. Each problem presents a different quadratic equation and asks for the discriminant, offering multiple-choice answers. The activity enhances understanding of the relationship between quadratic coefficients and the discriminant formula \( \Delta = b^2 - 4ac \). This skill is foundational for algebra students learning about the properties of quadratic equations.

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Quadratic Formula - Equation to Discriminant Worksheet

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Quadratic Formula - Equation to Discriminant
1
What is the discriminant of this quadratic equation?
A LaTex expression showing y=5x to the power of 2 -3x+4
a A LaTex expression showing \Delta = -71
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta = 71
2
What is the discriminant of this quadratic equation?
A LaTex expression showing y=-3x to the power of 2 +3x-4
a A LaTex expression showing \Delta = -39
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta = 39
3
What is the discriminant of this quadratic equation?
A LaTex expression showing y=x to the power of 2 +2x+4
a A LaTex expression showing \Delta = -12
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta = 12
4
What is the discriminant of this quadratic equation?
A LaTex expression showing y=-2x to the power of 2 +3x-5
a A LaTex expression showing \Delta = -31
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta = 31
5
What is the discriminant of this quadratic equation?
A LaTex expression showing y=-4x to the power of 2 -4x-3
a A LaTex expression showing \Delta = -32
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta = 32
6
What is the discriminant of this quadratic equation?
A LaTex expression showing y=-4x to the power of 2 -5x-4
a A LaTex expression showing \Delta = -39
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta = 39
7
What is the discriminant of this quadratic equation?
A LaTex expression showing y=4x to the power of 2 +2x+3
a A LaTex expression showing \Delta = -44
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta = 44
8
What is the discriminant of this quadratic equation?
A LaTex expression showing y=-1x to the power of 2 +2x-3
a A LaTex expression showing \Delta = -8
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta = 8