Free Printable Complex Numbers and Quadratic Formula

1.

$\sqrt{-4}$

a)

-2

b)

-2i

c)

2

d)

2i

2.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

3.

Simplify:
(3 + 2i) + (4i + 6)

a)

9 + 6i

b)

7i + 8

c)

9 + 6i²

d)

9 - 6i

4.

Simplify:
(4 + 7i) - (3 + 2i)

a)

1 + 5i

b)

7 + 9i

c)

1 + 9i

d)

-1 + 5i

5.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

6.

Simplify:
(2 - 3i)(5 + 4i)

a)

22 - 7i

b)

22 + 7i

c)

22 - 7i²

d)

22 + 7i²

7.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

8.

Use the quadratic formula to find the solutions for
$y=-x^2-5x+12$

a)

No Real Solution

b)

$\frac{5\pm\sqrt{73}}{-2}$

c)

$\frac{-5\pm\sqrt{73}}{-2}$

d)

$\frac{5\pm\sqrt{73}}{2}$

9.

$x^2-2x-8=0$ Solve using the Quadratic Formula:

a)

$\frac{-1\pm\sqrt{73}}{6}$

b)

$-4,\ 2$

c)

$-2,\ 4$

d)

$-3,\ 2$

10.

Solve using the quadratic formula. $f\left(x\right)=2x^2-4x+7$

a)

$\frac{2\pm2i\sqrt{10}}{2}$

b)

$\frac{4\pm\sqrt{40}}{4}$

c)

$\frac{2\pm i\sqrt{10}}{2}$

d)

$\frac{2\pm2i\sqrt{40}}{4}$

11.

Solve using the Quadratic Formula: $-x^2+4x=13$

a)

$2\pm3i$

b)

$-2\pm3i$

c)

$2\pm i\sqrt{17}$

d)

$-2\pm i\sqrt{17}$

Complex Numbers and Quadratic Formula

Total questions: 11

Worksheet time: 1hrs 6mins

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