Download Algebra 2 Quadratic Word Problems

Name:
Date:
Algebra 2
Algebra 2 Quadratic Equations
Equation Solving Practice
On a separate piece of paper: Solve by factoring, taking square roots, completing the
square, or quadratic formula. Try to use the easiest possible method!! You should only
need to use the Quadratic Formula or completing the square in ONE problem!
1. x 2 - 3x + 1 = 19
2
2. ( x - 5) 2 = 0
3
3. 2 x 2 + 14 x = -20
x2 x 1 1
- + =
4.
3 2 2 3
5. 3x 2 - 8 x + 6 = 1
6. 3( x - 5) 2 + 7 = 31
7. 3x 2 - 7x = 0
8. 4( x - 8)(6x + 7) = 0
9. 2(x - 7)2 + 5 = -11
10. (x - 3)(x - 9) =16
11. (x - 4)2 + (x + 3)2 = (x + 4)2
12. 2x 2 - 5 = 4x
13. 3x 2 = 8 -10x
14.
( 43 x - 2)( x + 57 ) = 0
15. 10x 2 + 33 = 783
Name:
Date:
Algebra 2
Answers:
1. Factor: 6, -3
4. x6 & factor: 1, ½
7. Factor: 7/3, 0
10. Factor: 11, 1
13. Factor: -4, 2/3
2. Sq roots: 5
5. Factor: 1, 5/3
8. Already factored: 8, -7/6
11. Factor: 9, 1
3. ÷2 and factor: -5, -2
6. Sq roots: 5 ± 2 2
9. Sq roots: No Real Solution
12. Quadratic Formula or
Completing the Square 1± 27
14. Already factored: 8/3, -5/7 15. Sq roots: ±5 3