Algebra Worksheet -- Solving ... - Free Math Worksheets
Solving Quadratic Equations (A)
Name:
Solve each equation for x.
Date:
1. -3x2 + 11x - 6 = 0
11. -3x2 + 17x + 56 = 0
2. -4x2 - 27x - 35 = 0
12. -5x2 - 11x - 6 = 0
3. 5x2 - 19x - 4 = 0
13. -4x2 - 20x - 21 = 0
4. 5x2 + 39x + 28 = 0
14. -x2 + 10x - 24 = 0
5. 4x2 - 13x + 10 = 0
15. -3x2 - 14x - 15 = 0
6. -2x2 + 17x - 36 = 0
16. 5x2 - 26x + 5 = 0
7. 2x2 - 3x - 35 = 0
17. 3x2 - 7x + 4 = 0
8. x2 + 8x + 12 = 0
18. x2 + 5x - 36 = 0
9. 4x2 - 7x - 15 = 0
19. 2x2 + 21x + 49 = 0
10. -4x2 - 20x - 9 = 0
20. x2 + 2x - 24 = 0
Math-
Solving Quadratic Equations (A) Answers
Name:
Solve each equation for x.
Date:
1. -3x2 + 11x - 6 = 0
-(3x - 2)(x - 3) = 0
x
=
2 3
,
3
2. -4x2 - 27x - 35 = 0
-(x + 5)(4x + 7) = 0
x
=
-5,
-1
3 4
3. 5x2 - 19x - 4 = 0
(x - 4)(5x + 1) = 0
x
=
4,
-
1 5
4. 5x2 + 39x + 28 = 0
(5x + 4)(x + 7) = 0
x
=
-
4 5
,
-7
5. 4x2 - 13x + 10 = 0
(4x - 5)(x - 2) = 0
x
=
1
1 4
,
2
6. -2x2 + 17x - 36 = 0
-(2x - 9)(x - 4) = 0
x
=
4
1 2
,
4
7. 2x2 - 3x - 35 = 0
(2x + 7)(x - 5) = 0
x
=
-3
1 2
,
5
8. x2 + 8x + 12 = 0 (x + 2)(x + 6) = 0 x = -2, -6
9. 4x2 - 7x - 15 = 0
(4x + 5)(x - 3) = 0
x
=
-1
1 4
,
3
10. -4x2 - 20x - 9 = 0
-(2x + 1)(2x + 9) = 0
x
=
-
1 2
,
-4
1 2
11. -3x2 + 17x + 56 = 0
-(x - 8)(3x + 7) = 0
x
=
8,
-2
1 3
12. -5x2 - 11x - 6 = 0
-(5x + 6)(x + 1) = 0
x
=
-1
1 5
,
-1
13. -4x2 - 20x - 21 = 0
-(2x + 7)(2x + 3) = 0
x
=
-3
1 2
,
-1
1 2
14. -x2 + 10x - 24 = 0 -(x - 4)(x - 6) = 0 x = 4, 6
15. -3x2 - 14x - 15 = 0
-(3x + 5)(x + 3) = 0
x
=
-1
2 3
,
-3
16. 5x2 - 26x + 5 = 0
(5x - 1)(x - 5) = 0
x
=
1 5
,
5
17. 3x2 - 7x + 4 = 0
(x - 1)(3x - 4) = 0
x
=
1,
1
1 3
18. x2 + 5x - 36 = 0 (x - 4)(x + 9) = 0 x = 4, -9
19. 2x2 + 21x + 49 = 0
(x + 7)(2x + 7) = 0
x
=
-7,
-3
1 2
20. x2 + 2x - 24 = 0 (x + 6)(x - 4) = 0 x = -6, 4
Math-
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