The Quadratic Formula Practice Problems
Set 1: Introduction to the Quadratic Formula - The Quadratic Formula in Practice
To review The Quadratic Formula, go to The Quadratic Formuls Help
Practice
Identify a , b , and c for ax 2 + bx + c = 0.
- 2 x 2 + 9 x + 3 = 0
- – 3 x 2 + x + 5 = 0
- x 2 – x – 6 = 0
- x 2 – 9 = 0
- 2 x 2 = 32
- x 2 + x = 0
- x 2 – x = 0
- 9 x 2 = 10 x
- 8 x 2 + 20 x = 9
- 4 x – 5 – 3 x 2 = 0
Solutions
- 2 x 2 + 9 x + 3 = 0 a = 2 b = 9 c = 3
- –3 x 2 + x + 5 = 0 a = – 3 b = 1 c = 5
- x 2 – x – 6 = 0 a = 1 b = – 1 c = – 6
- x 2 – 9 = 0 a = 1 b = 0 c = – 9
- 2 x 2 = 32 Rewritten: 2 x 2 – 32 = 0 a = 2 b = 0 c = – 32
- x 2 + x = 0 a = 1 b = 1 c = 0
- x 2 – x = 0 a = 1 b = –1 c = 0
- 9 x 2 = 10 x Rewritten: 9 x 2 – 10 x = 0
- 8 x 2 + 20 x = 9 Rewritten: 8 x 2 + 20 x – 9 = 0
- 4 x – 5 – 3 x 2 = 0 Rewritten: – 3 x 2 + 4 x – 5 = 0
a = 9 b = –10 c = 0
a = 8 b = 20 c = – 9
a = –3 b = 4 c = – 5
Set 2: Simplifying the Quadratic Formula
Sometimes the solutions to a quadratic equation need to be simplified. To review this concept, go to The Quadratic Formula Help
Practice
Simplify.
Solutions
Set 3: Solving Equations Using the Quadratic Formula
To review solving quadratic equations using the formula, go to The Quadratic Formula Help
Practice
1. x 2 – 5 x + 3 = 0
2. 4 x 2 + x – 6 = 0
3. 7 x 2 + 3 x = 2
4. 2 x 2 = 9
5. – 3 x 2 + 4 x + 1 = 0
6. 9 x 2 – x = 10
7. 10 x 2 – 5 x = 0
8. 0.1 x 2 – 0.11 x – 1 = 0
10. 80 x 2 – 16 x – 32 = 0
11. 18 x 2 + 39 x + 20 = 0
12. x 2 + 10 x + 25 = 0
Solutions
Excerpted From:
From Algebra Demystified: A Self-Teaching Guide. Copyright © 2003 by The McGraw-Hill Companies, Inc. All Rights Reserved.
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