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Solving Quadratics and Complex Numbers

Total questions: 34

Worksheet time: 3hrs 2mins

Name
Class
Date
1.
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
2.

What is this formula?

a)

Pythagorean Theorem

b)

Quadratic formula.

c)

Slope Formula

d)

Function Formula

3.
Solve    2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
4.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
5.

Solve by Quadratic Equation

4x2-7x+5=0

a)

(7 ± i √31 ) / 8

b)

(-1 ± i √55 ) / 8

c)

(7 ± √31) / 4

d)

(1 ± i √57) / 8

6.
a)
A
b)
B
c)
C
d)
D
7.
-2x2 = -98
a)
-7
b)
7
c)
±7
d)
±49
8.
Solve using square roots.
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
9.
a)
A
b)
B
c)
C
d)
D
10.
√-81
a)
9i
b)
-9i
c)
-9
d)
9
11.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
12.
(10+3i) - (2-9i)
a)
20-27i
b)
12-7i
c)
8+12i
d)
20-27i2
13.
Which of the following is equivalent to (3-5i)-(6+2i)
a)
-3-7i
b)
-3-3i
c)
3-3i
d)
9-7i
14.
What letter usually represent imaginary number?
a)
a
b)
i
c)
j
d)
x
15.
(1-3i)(2+5i)
a)
22-i
b)
16-i
c)
17-i
16.
(3+8i)(-2-i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
17.
Solve
x2 + 49 = 0
a)
-7
b)
-7
c)
7i
d)
±7i
18.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
19.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
20.
i7
a)
i
b)
-i
c)
1
d)
-1
21.
i13
a)
-1
b)
1
c)
i
d)
-i
22.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
23.
Evaluate (9 + 3i) (9 - 3i). 
a)
81 -9i
b)
90
c)
81 + 27i -9i2
d)
81i - 9
24.

How do you graph -5+i on the complex plane?

a)

left 5, up 1

b)

down 5, up 1

c)

down 5, left 1

d)

left 5, up 0

25.
What complex number is represented by the graph?
a)
-3-i
b)
-3+i
c)
1+3i
d)
1-3i
26.

How do you graph 3-2i on the complex plane?

a)

right 3, down 2

b)

up 3, left 2

c)

right 3, up 2

d)

right 3, left 2

27.

Name the complex number that will graph point E.

a)

4 + 2i

b)

3 - 3i

c)

-1+2i

d)

-1-i

28.

What is the result of the addition of the two Complex numbers, D + B, shown on the number line.

a)

2+2i

b)

2

c)

2i

d)

-2i

29.

How do you graph 4i on the complex plane?

a)

right 4, down 4

b)

up 0, right 4

c)

up 4

d)

right 4, left 4

30.

i4

a)

-1

b)

1

c)

i

d)

-i

31.

Which of the following is the value of i

a)

-1

b)

1

c)

i

d)

√-1

32.

√-68

a)

2i√17

b)

2√17

c)

i√68

d)

68i

33.

10i (9+4i2)

a)

90i - 40i3

b)

90 - 40i

c)

50i

d)

130i

34.

Which of the following is the graph of a complex solution?

a)
b)
c)
d)

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