The Discriminant (Algebra 1)
Free printable Algebra 1 algebra worksheet on computing the discriminant of a quadratic equation and classifying its number of real solutions.
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Algebra 1 · Math worksheet
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Math
Algebra 1: The Discriminant
Find the discriminant (b² - 4ac) of each equation, then state whether it has two, one, or no real solutions.
- 1.For 3x² - 24x + 48 = 0, find the discriminant and state how many real solutions the equation has.
- 2.For 2x² + 8x - 4 = 0, find the discriminant and state how many real solutions the equation has.
- 3.For 3x² + 8 = 0, find the discriminant and state how many real solutions the equation has.
- 4.For x² + 8x + 16 = 0, find the discriminant and state how many real solutions the equation has.
- 5.For 4x² + 7x - 10 = 0, find the discriminant and state how many real solutions the equation has.
- 6.For 3x² + x + 4 = 0, find the discriminant and state how many real solutions the equation has.
- 7.For 4x² - 40x + 100 = 0, find the discriminant and state how many real solutions the equation has.
- 8.For 4x² - 3x - 7 = 0, find the discriminant and state how many real solutions the equation has.
- 9.For x² - 5x + 12 = 0, find the discriminant and state how many real solutions the equation has.
- 10.For x² + 4x + 4 = 0, find the discriminant and state how many real solutions the equation has.
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