WorksheetsCA - 30 WA Review #3
Total questions: 24
Worksheet time: 12mins
Name
Class
Date
1.
f(a) = 2a + 4
g(a) = a2 - 2a
Find (f + g)(3)
g(a) = a2 - 2a
Find (f + g)(3)
a)
33
b)
5
c)
20
d)
13
2.
g(a) = 3a2 + 4
f(a) = 2a + 3
Find (g - f)(1)
f(a) = 2a + 3
Find (g - f)(1)
a)
-2
b)
2
c)
17
d)
-6
3.
g(x) = -4x + 5
f(x) = -4x - 2
Find (g ⋅ f)(-3)
f(x) = -4x - 2
Find (g ⋅ f)(-3)
a)
98
b)
198
c)
18
d)
170
4.
f(a) = -3a - 2
g(a) = a2 - 2
Find (f/g)(-4)
g(a) = a2 - 2
Find (f/g)(-4)
a)
-29/79
b)
5/7
c)
-1
d)
7/5
5.
h(x) = -4x + 5
g(x) = x2 - x
Find (h ∘ g)(6)
g(x) = x2 - x
Find (h ∘ g)(6)
a)
-163
b)
19
c)
-115
d)
-3
6.
g(x) = 2x + 1
h(x) = x2 + x
Fing (g ∘ h)(8)
h(x) = x2 + x
Fing (g ∘ h)(8)
a)
-25
b)
41
c)
-4
d)
145
7.
f(n) = 2n + 5
g(n) = n - 5
Find (f ∘ g)(-8)
g(n) = n - 5
Find (f ∘ g)(-8)
a)
-16
b)
-21
c)
16
d)
85
8.
Identify the domain and range for
y = √x - 4
y = √x - 4
a)
Domain: x ≥ -4
Range: y ≥ 0
Range: y ≥ 0
b)
Domain: x ≤ 0
Range: y ≥ 4
Range: y ≥ 4
c)
Domain: x ≤ 4
Range: y ≥ -1
Range: y ≥ -1
d)
Domain: x ≥ 4
Range: y ≥ 0
Range: y ≥ 0
9.
Identify the domain and range for
y = -3√x
y = -3√x
a)
Domain: {All real numbers}
Range: {All real numbers}
Range: {All real numbers}
b)
Domain: x ≥ 0
Range: y ≤ 0
Range: y ≤ 0
c)
Domain: x ≥ 0
Range: y ≥ 0
Range: y ≥ 0
d)
Domain: x ≤ 0
Range: y ≥ 3
Range: y ≥ 3
10.
Describe the movement of
y = -x2 + 4
y = -x2 + 4
a)
Reflect over x-axis
Up 4
Up 4
b)
Reflect over y-axis
Up 4
Up 4
c)
Reflect over x-axis
Down 4
Down 4
d)
Reflect over y-axis
Down 4
Down 4
11.
Describe the movement of
f(x) = |-x - 4|
f(x) = |-x - 4|
a)
Reflect over the y-axis
Left 4
Left 4
b)
Reflect over the x-axis
Left 4
Left 4
c)
Reflect over the x-axis
Right 4
Right 4
d)
Reflect over the y-axis
Right 4
Right 4
12.
Describe the movement of
y = 3x2
y = 3x2
a)
Stretch of 3
b)
Shrink of 3
13.
Describe the movement of
f(x) = ¼√x
f(x) = ¼√x
a)
Stretch of ¼
b)
Shrink of ¼
14.
Simplify
(8i)(-2 + 7i)
(8i)(-2 + 7i)
a)
56 + 16i
b)
-56 - 8i
c)
56 - 16i
d)
-56 - 16i
15.
Simplify
(-4i)2
(-4i)2
a)
9
b)
36
c)
-16
d)
16
16.
Simplify
(-6i)(4i) ∙ -4
(-6i)(4i) ∙ -4
a)
-144
b)
96
c)
112i
d)
-96
17.
Simplify
(-4 + 4i)(-8 + 2i)
(-4 + 4i)(-8 + 2i)
a)
-40 - 24i
b)
40 - 24i
c)
16 - 16i
d)
24 - 40i
18.
Simplify
(-2 + i)(7 + i)
(-2 + i)(7 + i)
a)
-15 + 5i
b)
-13 - 9i
c)
-18 + 9i
d)
13 + 9i
19.
Identify the complex number
a)
-1 - 5i
b)
5 + i
c)
5 - i
d)
1 + 5i
20.
Identify the complex number
a)
-5 + 2i
b)
5 + i
c)
-1 - 5i
d)
-5 + i
21.
Expand
(4 + u)4
(4 + u)4
a)
6u4 + 60u3 + 320u2 + 960u + 1536
b)
u4 + 16u3 + 96u2 + 256u + 256
c)
u4 + 20u3 + 160u2 + 640u + 1280
d)
u4 + 4u3 + 16u2 + 64u + 256
22.
Expand
(b - 2)3
(b - 2)3
a)
b3 - 2b2 + 4b - 8
b)
5b3 - 20b2 + 40b - 40
c)
b3 - 6b2 + 12b - 8
d)
4b3 - 12b2 + 16b - 8
23.
Find the 2nd term in the expansion of
(2b + 1)3
(2b + 1)3
a)
12b2
b)
6b
c)
8b3
d)
4b2
24.
Find the 4th term in the expansion of
(2v - 1)5
(2v - 1)5
a)
-35v2
b)
37v2
c)
-4v2
d)
-40v2
100 %
