Download Pre-Calc Midterm Study Guide Units 1

4.5: Complex Numbers Pre-Assessment
1. Imaginary Number – a number in the form bi; Examples: 3i, -2i,  i 3
2. Complex Number – numbers in the form a + bi, where a and b are real numbers; Examples: 3 – i, 2  i 5
3. i2 = _____________
4. Simplify each expression. An answer bank is provided.
a) (1 + i) + (3 – 7i) =
b) (4 + 3i) – (8 – 6i) =
c) 4i(2 + ½ i) =
d) (2 + i)(3 – 4i) =
e) (3 + 2i)(3 – 2i) =
f) (4 + i)2 =
g) (2 – 3i) + (1 + i) =
h) (2 + 3i) – (4 – 2i) =
i) 10i (5 + 0.2i) =
j) (3 + i) (2 – 5i) =
k) (4 + 5i)(4 – 5i) =
l) (3 + i)2 =
-2 + 5i
4 – 6i
11 – 13i
-4+9i
41
13
8 + 6i
-2+8i
-2 + 50i
10 – 5i
3 – 2i
15 + 8i