Quadratic Equations Practice Problems

Quadratic Equations Practice Problems

Set 1: Solving Quadratic Equations - When the Product of Two Numbers is Zero

To review quadratic equations, go to Quadratic Equations Help

Practice

1. x ² – x – 12 = 0
2. x ² + 7 x + 12 = 0
3. x ² + 8 x = –15
4. x ² – 10 x = – 21
5. 3 x ² – x – 2 = 0
6. 4 x ² – 8 x = 5
7. x ² – 25 = 0
8. 9 x ² – 16 = 0
9. x ² = 100
10. x ² + 6 x + 9 = 0
11. x ² = 0
12. 5 x ² = 0

Solutions

Set 2: Solving Quadratic Equations - Multiplying and Dividing Both Sides of the Equation

To review dealing with quadratic expressions that are not so easy to factor, go to Quadratic Equations Help

Practice

1. – x ² – x + 30 = 0

2. –9 x ² + 25 = 0

3. 0.01 x ² + 0.14 x + 0.13 = 0

4. –0.1 x ² + 1.1 x – 2.8 = 0

9. 6 x ² + 18 x – 24 = 0

10. –10 x ² – 34 x – 12 = 0

Solutions

Set 3: Solving Quadratic Equations - Simplifying Squares and Roots

Sometimes using the fact that x ² = k implies can be used to solve quadratic equations.

To review this concept, go to Quadratic Equations Help

Practice

1. x ² – 81 = 0
2. 64 – x ² = 0
3. 4 x ² = 100
4. 2 x ² = 3
5. – 6 x ² = – 80

Solutions