Free Printable 3.2 Complex and Imaginary Numbers Review

1.

Simplify:

\sqrt{-49}

a)

$7$

b)

$-7$

c)

$49i$

d)

$7i$

2.

Simplify:

\sqrt{-18}

a)

$6i$

b)

$3i\sqrt{2}$

c)

$3\sqrt{-2}$

d)

$3i$

3.

Simplify:

5\sqrt{-48}

a)

$20\sqrt{-3}$

b)

$4i\sqrt{3}$

c)

$20i\sqrt{3}$

d)

$-20\sqrt{3i}$

4.

Solve the Equation:

$x^2=-25$

a)

$x=5,\ x=-5$

b)

$x=-5$

c)

$x=i,\ x=5$

d)

$x=5i,\ x=-5i$

5.

Solve the Equation:

$x^2+9=5$

a)

$x=4,\ x=-4$

b)

$x=2,\ x=-2$

c)

$x=2i,\ x=-2i$

d)

$x=4i,\ x=-4i$

6.

Solve the Equation:

$\left(x-2\right)^2+25=16$

a)

$x=2+3i,\ x=2-3i$

b)

$x=3i,\ x=-3i$

c)

$x=-2+3i,\ x=-2+3i$

d)

$x=2,\ x=3i$

7.

Write the expression as a complex number in standard form.

\left(2+i\right)+\left(3+2i\right)

a)

$3i+5$

b)

$5+3i$

c)

$4+7i$

d)

$-1-i$

8.

Write the expression as a complex number in standard form.

\left(5+i\right)-\left(3-5i\right)

a)

$20-8i$

b)

$8-4i$

c)

$2-3i$

d)

$2+6i$

9.

Write the expression as a complex number in standard form.

2i\left(4+i\right)

a)

$8i+2i^2$

b)

$-2+8i$

c)

$2+8i$

d)

$8+2i$

10.

Write the expression as a complex number in standard form.

\left(1+i\right)\left(2+5i\right)

a)

$-2+7i$

b)

$6+7i$

c)

$3+6i$

d)

$-1-4i$

3.2 Complex and Imaginary Numbers Review

Total questions: 10

Worksheet time: 50mins

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