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WorksheetsComplex Numbers
Total questions: 30
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
a)
10
b)
-10
c)
10i
d)
-10i
2.
a)
5i
b)
-5i
c)
5+i
d)
-5
3.
What is the complex conjugate of 4-3i?
a)
A. 1/(4-3i)
b)
B. 1/(4+3i)
c)
C. -4 + 3i
d)
D. 4 + 3i
4.
Simplify:
i7
i7
a)
i
b)
-i
c)
1
d)
-1
5.
Solve
3x2 - 5 = -446
3x2 - 5 = -446
a)
±√-147
b)
7i√3
c)
±7i√3
d)
-7√3
6.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
7.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
8.
Multiply:
(4 – 3i)(-7 – 2i)
(4 – 3i)(-7 – 2i)
a)
A. -23 + 13i
b)
B. -23 - 29i
c)
C. -34 + 13i
d)
D. -34 - 29i
9.
Simplify
(-6 - 2i)2
(-6 - 2i)2
a)
32
b)
36-4i
c)
36+24i
d)
32+24i
10.
Simplify:
(10+ 15i) - (48 - 30i)
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
11.
What is the discriminant of the quadratic formula?
a)
b2-4a
b)
b2-4ac
c)
b-4ac
d)
b2-ac
12.
What are the zeros of the function f(x) = x2 + 64?
a)
-8 and 8
b)
-8i and 8i
c)
(-√8) i and (√8) i
d)
-√8 and √8
13.
How does the quadratic equation show that there should be two complex solutions?
a)
b2
b)
±
c)
b2 - 4ac
d)
2a
14.
Put 2x2 = 3x - 4 in standard form
a)
2x2 + 3x - 4 = 0
b)
2x2 - 3x + 4 = 0
c)
2x2 - 3x - 4 = 0
d)
2x2 + 3x + 4 = 0
15.
Solve x2 - 5x + 10 = 0
a)
(5 - i√15)/2 , (5 + i√15)/2
b)
(5 - √15)/2 , (5 + √15)/2
c)
(5 - i√65)/2 , (5 + i√65)/2
d)
(5 - √65)/2 , (5 + √65)/2
16.
When you are solving for the roots/zeros of a quadratic function, which equation should you use?
a)
D=b2−4ac
b)
x=2a−b±b2−4ac
17.
How many solutions would a quadratic have if D > 0?
a)
2 Complex Solutions
b)
1 Real Solution
c)
2 Real Solutions
18.
How many solutions would a quadratic have if D = 0
a)
2 Complex Solutions
b)
1 Real Solution
c)
2 Real Solutions
19.
How many solutions would a quadratic have if D < 0?
a)
2 Complex Solutions
b)
1 Real Solution
c)
2 Real Solutions
20.
How many solutions does this equation have?
a)
2 Real Solutions
b)
1 Real Solution
c)
2 Complex Solutions
21.
Find the roots of the equation.
a)
{−43+3i7,−43−3i7}
b)
{−3i7,3i7}
c)
{−63,63}
22.
How many solutions are there?
a)
0
b)
1
c)
2
d)
3
23.
Factor:
x² - 5x - 14
x² - 5x - 14
a)
(x - 2)(x + 3)
b)
(x - 2)(x + 7)
c)
(x + 2)(x - 7)
d)
(x - 2)(x - 3)
24.
Solve for X:
(x-5)(x+6)=0
a)
{5,5 }
b)
{ -5,-5 }
c)
{ -5,-6 }
d)
{5,-6 }
25.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
26.
Factor Completely:
3x2 + 18x +15
3x2 + 18x +15
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
27.
Factor:
2x² + 11x + 14
2x² + 11x + 14
a)
(x + 7)(2x + 2)
b)
(x + 2)(2x + 7)
c)
(x + 14)(2x + 1)
d)
(x + 1)(2x + 14)
28.
3x2+9x-30=0
a)
x= 2, -5
b)
x= 5, -2
c)
x= -5, -2
29.
Factor completely
2c2 + 4c - 84
2c2 + 4c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2x-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
30.
Factor Completely:
3x5 - 27x3
3x5 - 27x3
a)
3(x3 - 3)(x2 + 3)
b)
prime
c)
3x3(x2 - 9)
d)
3x3(x - 3)(x + 3)
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