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Solving Quadratic Equations Practice Worksheet
Solve second-degree equations (ax² + bx + c = 0) by factoring or using the quadratic formula. 10 high school problems.
Algebra, Exponents & Roots
Hard / Advanced
High School (Grades 9–12)
10 Problems
Name:
Date:
Class:
Score:
______ / 10
1)
Solve for x: x2 − 9 = 0
2)
Solve for x: x2 − 5x + 6 = 0
3)
Solve for x: x2 + 7x + 12 = 0
4)
Solve for x: x2 − 2x − 15 = 0
5)
Solve for x: x2 + 6x + 9 = 0
6)
Solve for x: 2x2 − 8 = 0
7)
Solve for x: x2 − 16 = 0
8)
Solve for x: x2 − 4x + 3 = 0
9)
Solve for x: x2 + 5x + 4 = 0
10)
Solve for x: x2 − 8x + 16 = 0
Answer Key & Solutions
Solving Quadratic Equations Practice Worksheet
#1:
3, -3
x² = 9 → x = ±3.
#2:
2, 3
Factor: (x - 2)(x - 3) = 0 → x = 2 or x = 3.
#3:
-3, -4
Factor: (x + 3)(x + 4) = 0 → x = -3 or x = -4.
#4:
5, -3
Factor: (x - 5)(x + 3) = 0 → x = 5 or x = -3.
#5:
-3
Perfect square: (x + 3)² = 0 → x = -3.
#6:
2, -2
2x² = 8 → x² = 4 → x = ±2.
#7:
4, -4
x² = 16. Taking the square root gives x = 4 or x = -4.
#8:
1, 3
Factor as (x - 1)(x - 3) = 0. Therefore x = 1 or x = 3.
#9:
-1, -4
Factor as (x + 1)(x + 4) = 0. Therefore x = -1 or x = -4.
#10:
4
Factor as a perfect square: (x - 4)² = 0, so x = 4 (repeated root).
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