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WorksheetsCA - 30 WA Review #2
Total questions: 29
Worksheet time: 15mins
Name
Class
Date
1.
Simplify i12
a)
1
b)
-1
c)
-i
d)
i
2.
Simplify i3
a)
1
b)
-1
c)
-i
d)
i
3.
Simplify i54
a)
1
b)
-1
c)
-i
d)
i
4.
Simplify i9
a)
1
b)
-1
c)
-i
d)
i
5.
Simplify
-2√-28
-2√-28
a)
-48i√6
b)
-6i√2
c)
-40i√2
d)
-4i√7
6.
Simplify
-4√-50
-4√-50
a)
-15i√5
b)
-20i√2
c)
28i√5
d)
36i√2
7.
Simplify
7√-45
7√-45
a)
56i√6
b)
30i√2
c)
-40i√5
d)
21i√5
8.
Solve the equation by completing the square
v2 + 16v + 84 = 0
v2 + 16v + 84 = 0
a)
-8 ± 2i√5
b)
7, -1
c)
-3 ± √2
d)
3 ± √2
9.
Solve the equation by completing the square
p2 + 14p + 8 = 0
p2 + 14p + 8 = 0
a)
18, -4
b)
7 ± i√23
c)
14 ± 2√67
d)
-7 ± √41
10.
Solve the equation by completing the square
m2 + 12m - 65 = 0
m2 + 12m - 65 = 0
a)
-6 ± √101
b)
-9 ± i√17
c)
-5 ± 2i√10
d)
-12 ± √209
11.
Solve the equation with the quadratic formula
4x2 + 6x + 10 = 0
4x2 + 6x + 10 = 0
a)
-3 ± i
b)
(-3 ± i√31)/4
c)
1, -5/2
d)
6/5, -1
12.
Solve the equation with the quadratic formula
6n2 + 2n - 28 = 0
6n2 + 2n - 28 = 0
a)
-1 ± √29
b)
(1 ± i√167)/6
c)
6, -14/3
d)
2, -7/3
13.
Solve the equation with the quadratic formula
x2 + 5x + 6 = 0
x2 + 5x + 6 = 0
a)
6 ± 5√2
b)
(-3 ± 2√11)/5
c)
-2, -3
d)
(3 ± 2√11)/5
14.
Find the discriminant for
-2n2 + 2n - 3 = 0
-2n2 + 2n - 3 = 0
a)
-32
b)
25
c)
-20
d)
28
15.
Find the discriminant for
3x2 - 9x - 7 = 0
3x2 - 9x - 7 = 0
a)
189
b)
157
c)
165
d)
-3
16.
Find the discriminant for
-2b2 + 4b - 2 = 0
-2b2 + 4b - 2 = 0
a)
12
b)
0
c)
17
d)
64
17.
Given the equation
x2 + 3x - 9 = 0.
What is the product of the roots?
x2 + 3x - 9 = 0.
What is the product of the roots?
a)
9
b)
-9
c)
3
d)
-3
18.
Given the equation
-2x2 + 3x + 8 = 0.
What is the product of the roots?
-2x2 + 3x + 8 = 0.
What is the product of the roots?
a)
3/2
b)
-4
c)
3/4
d)
4
19.
Given the equation
2x2 - 3x + 4 = 0.
What is the sum of the roots?
2x2 - 3x + 4 = 0.
What is the sum of the roots?
a)
3/2
b)
2
c)
2/3
d)
1/2
20.
Given the equation
2x2 - 13x + 17 = 0.
What is the sum of the roots?
2x2 - 13x + 17 = 0.
What is the sum of the roots?
a)
-13/2
b)
13/2
c)
-17/2
d)
17/2
21.
Which inequality is graphed?
a)
y > 3x2 + 12x + 15
b)
y < 3x2 + 12x + 15
c)
y ≤ 3x2 + 12x + 15
d)
y ≥ 3x2 + 12x + 15
22.
Which inequality is graphed?
a)
y ≥ -x2 - 4x - 8
b)
y < -x2 - 4x - 8
c)
y > -x2 - 4x - 8
d)
y ≤ -x2 - 4x - 8
23.
Which inequality is graphed?
a)
y < x2 + 4x + 6
b)
y > x2 + 4x + 6
c)
y ≥ x2 + 4x + 6
d)
y ≤ x2 + 4x + 6
24.
What is the solution for the system:
y = x2 - 2
y = x
y = x2 - 2
y = x
a)
(1, 1)
(-2, -2)
(-2, -2)
b)
(2, 2)
(-1, -1)
(-1, -1)
c)
(1, 1)
(2, 2)
(2, 2)
d)
(-2, -2)
(-1, -1)
(-1, -1)
25.
What is the solution for the system:
y - x = 5
y = x2 + 5
y - x = 5
y = x2 + 5
a)
(0, 5)
(1, 6)
(1, 6)
b)
(0, 5)
(-1, 6)
(-1, 6)
c)
(2, 9)
(-1, 4)
(-1, 4)
d)
(-2, 9)
(-1, 4)
(-1, 4)
26.
Evaluate
w(t) = 2t
Find w(10)
w(t) = 2t
Find w(10)
a)
-16
b)
8
c)
-12
d)
20
27.
Evaluate
f(a) = a2 + 5a
Find f(10)
f(a) = a2 + 5a
Find f(10)
a)
150
b)
36
c)
66
d)
50
28.
Evaluate
f(a) = a2 + 5
Find f(3a)
f(a) = a2 + 5
Find f(3a)
a)
a2 + 4a + 9
b)
a2 + 6a + 14
c)
9a2 + 5
d)
a2 - 2a + 6
29.
Evaluate
k(x) = x2 - 2x
Find k(-1 - x)
k(x) = x2 - 2x
Find k(-1 - x)
a)
1/9x2 - 2/3x
b)
4x2 - 4x
c)
3 + 4x + x2
d)
x4 - 2x2
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