Allday Education

Free The Discriminant Worksheet

Ten discriminant problems with an answer key — predict the number and type of roots.

Answer key included
Name: Date:
The Discriminant
1.
Find the discriminant of x2+2x+5=0x^2 + 2x + 5 = 0.
2.
Find the discriminant of x2+x+6=0x^2 + x + 6 = 0.
3.
Find the discriminant of 2x28x6=02x^2 - 8x - 6 = 0.
4.
Find the discriminant of x2x6=0x^2 - x - 6 = 0.
5.
Find the discriminant of 4x2+2x+1=04x^2 + 2x + 1 = 0.
6.
Find the discriminant of x2+4x4=0x^2 + 4x - 4 = 0.
7.
Find the discriminant of 3x2+x+5=03x^2 + x + 5 = 0.
8.
Find the discriminant of x26x1=0x^2 - 6x - 1 = 0.
9.
Find the discriminant of x2+7x+2=0x^2 + 7x + 2 = 0.
10.
Find the discriminant of x2+5x3=0x^2 + 5x - 3 = 0.
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
The Discriminant
1.
Find the discriminant of x2+2x+5=0x^2 + 2x + 5 = 0.
Answer: 16-16
2.
Find the discriminant of x2+x+6=0x^2 + x + 6 = 0.
Answer: 23-23
3.
Find the discriminant of 2x28x6=02x^2 - 8x - 6 = 0.
Answer: 112112
4.
Find the discriminant of x2x6=0x^2 - x - 6 = 0.
Answer: 2525
5.
Find the discriminant of 4x2+2x+1=04x^2 + 2x + 1 = 0.
Answer: 12-12
6.
Find the discriminant of x2+4x4=0x^2 + 4x - 4 = 0.
Answer: 3232
7.
Find the discriminant of 3x2+x+5=03x^2 + x + 5 = 0.
Answer: 59-59
8.
Find the discriminant of x26x1=0x^2 - 6x - 1 = 0.
Answer: 4040
9.
Find the discriminant of x2+7x+2=0x^2 + 7x + 2 = 0.
Answer: 4141
10.
Find the discriminant of x2+5x3=0x^2 + 5x - 3 = 0.
Answer: 3737
Andy · alldayeverydaymath.com

Scroll to see all 10 problems and the answer key on its own page. Printing includes every page.

About this worksheet

Students compute b-squared minus 4ac to determine whether a quadratic has two real, one real, or two complex solutions. A fast, high-yield Algebra 2 skill for analyzing quadratics without solving them.

Want this in multiple choice? Harder numbers? 30 versions?

Built for math teachers. Andy generates custom worksheets across Pre-Algebra, Algebra 1, Geometry, and Algebra 2 with exact answer keys.

Try it for $1