Media4Math

Completing the Square Quiz

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1) Solve the quadratic equation by completing the square. x2 + 4x – 2 = 0
a) x = ±2
b) x = –2 ± √6
c) x = ±6
d) no real roots

2) Solve the quadratic equation by completing the square. x2 – 6x + 1 = 0
a) x = 3 ± 2
b) x = ± 2
c) x = 3 ± 2√2
d) no real roots

3) Solve the quadratic equation by completing the square. x2 + 8x + 7 = 0
a) no real roots
b) x = ± 1
c) x = –1, x = –7
d) x = ± 2

4) Solve the quadratic equation by completing the square. x2 + 8x + 13 = 0
a) x = –1 ± √3
b) no real roots
c) x = ± 1
d) x = –3 ± √1

5) Solve the quadratic equation by completing the square. x2 – 10x + 24 = 0
a) x = 4, x = –6
b) x = 4, x = 6
c) no real roots
d) x = –4, x = 6

6) Solve the quadratic equation by completing the square. x2 – 2x + 2 = 0
a) x = 2 ± 2√2
b) x = 2 ± √2
c) x = ± √2
d) no real roots

7) Solve the quadratic equation by completing the square. x2 – 14x + 1 = 0
a) x = 7 ± 4√3
b) x = 7 ± 2√3
c) x = 3 ± √2
d) no real roots

8) Solve the quadratic equation by completing the square. x2 + 20x + 90 = 0
a) x = 10 ± 10√10
b) no real roots
c) x = 10 ± √10
d) x = ± √10

9) Solve the quadratic equation by completing the square. x2 – 32x + 268 = 0
a) x = 10 ± 2√5
b) no real roots
c) x = 5 ± 2√10
d) x = 10 ± √5

10) Solve the quadratic equation by completing the square. x2 – 12x + 27 = 0
a) x = 3, x = 9
b) x = –3, x = –9
c) x = 3, x = –9
d) no real roots

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