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Using the Quadratic Formula Practice Problems

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Updated on Aug 24, 2011

To review these concepts, go to Using the Quadratic Formula Study Guide.

Practice

Find a, b, and c in the following quadratic equations.

1. 4x2 + 8x + 1 = 0
2. x2 – 4x + 10 = 0
3. 2x2 + 3x = 0
4. 6x2– 8 = 0
5. 4x2 = 7
6. 3x2 = 0
7. 2x2 = –3x + 4
8. 9x2 + 2 = 7x

Solve the equations using the quadratic formula.

1. 4x2 + 8x = 0
2. 3x2 = 12x
3. x2 – 25 = 0
4. x2 + 4x = 5
5. x2 + 4x – 21 = 0
6. x2 + 11x + 30 = 0
7. 2x2 + 5x+ 3 = 0
8. 6x2 + 1 = 5x

Solve the equations using the quadratic formula. Leave your answers in radical form.

1. x2 – 3x + 1 = 0
2. 2x2 – 2x = 5
3. y2 – 5y + 2 = 0
4. r2 – 7r – 3 = 0
5. x2 – 3x – 5 = 0
6. 4x2 – 5x – 1 = 0
7. m2 + 11m – 1 = 0
8. x2 + 5x = 3
9. 2x2 + 3x + 2 = 0
10. x2 – 4x + 2 = 0
11. 3y2 + 3y – 3 = 0
12. x2 + 2x – 6 = 0
13. 2x2 + x – 5 = 0
14. a2a + 1 = 0

Practice Application

1. Find the height of an archway when the span is 160 ft. and the radius is 100 ft.

Solutions

1. 4,8,1
2. 1,–4,10
3. 2,3,0
4. 6,0,–8
5. 4,0,–7
6. 3,0,0
7. 2,3,–4
8. 9,–7,2
9. 0,–2
10. 0,4
11. 5,–5
12. –5,1
13. –7,3
14. –5,–6
15. 4±√2
16. –2±√7
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