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6.5/6.6 Quiz Review

Total questions: 40

Worksheet time: 2hrs 15mins

Name
Class
Date
1.
a)
x = 12
b)
x = 24
c)
x = 144
d)
x = 121
2.

Solve the square root equation:

a)

A

b)

B

c)

C

d)

D

3.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
4.
a)
x = 2
b)
x = 4
c)
x = 7
d)
x = 9
5.
a)
x = 5
b)
x = -6
c)
x = 14
d)
x = -1
6.
a)
x = 81
b)
x = -9
c)
x = 9
d)
x = -81
7.
a)
x = {7, 6}
b)
x = 7
c)
x = 6
d)
x = -7
8.
a)
x = 5
b)
x = 10
c)
x = -9
d)
x = -5
9.
Solve the cube root equation
a)
344
b)
21
c)
-344
d)
-21
10.
Solve the cube root equation
a)
-984
b)
984
c)
26
d)
-26
11.
Solve the cube root equation
a)
900
b)
990
c)
0
d)
90
12.
Solve the cube root equation
a)
-125
b)
125
c)
25
d)
-25
13.
Solve the cube root equation
a)
78
b)
-228
c)
228
d)
-78
14.
Question 3
a)
20
b)
11
c)
4
d)
-2
15.
Given
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a)
11x2 - 1
b)
5x4 + 6x2 - 1
c)
5x2 + 6x - 1
d)
5x2 + 8x - 1
16.
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f - g)(x).
a)
x2 + 8x + 1
b)
x2 + 6x - 1
c)
5x2 + 8x - 1
d)
x2 + 8x -1
17.

If f(x) = 3x - 2 and g(x) = 2x + 1, find (f - g)(x).

a)

x - 3

b)

3 - x

c)

5x - 1

d)

5x - 3

18.
f(x) = 2x and g(x) = 2x-7 
Find (f+g)(2).
a)
-7
b)
1
c)
-1
d)
8
19.
Given f(x) = x2 + 5 and g(x) = 2x3 - 1, find (f/g)(-3).
a)
-14/55
b)
14/55
c)
2
d)
-2
20.
Given g(x) = -2x+2 and f(x) = 3x2+4, find (g+f)(-3).
a)
39
b)
-27
c)
-23
d)
-19
21.
f(x) = x2+9
g(x) = x-9
Find f(x)-g(x). 
a)
x2+x+9
b)
x2-x+9
c)
x2-x
d)
x2-x+18
22.
f(x)=x3-3x
g(x)=-4x+1
Find f(x)*g(x)
a)
-4x3-5x2-3
b)
-4x3+2x2-3x
c)
-4x4+x3+12x2-3x
d)
-4x4-x3+12x2+3x
23.

g(x) = 2x+8

h(x) = -5x+1

Find g(x) * h(x)

a)

-10x2 -38x +8

b)

25x2+38x+8

c)

-10x2+42x+8

d)

28x+8

24.
p(x) = 3x + 4
q(x) = 2x2
Find q(p(x))
a)
6x2 + 4
b)
18x+ 48x + 32
c)
18x2 + 32
d)
None of these.
25.
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
26.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))
a)
3x + 4 
b)
3x - 4
c)
3x + 8
d)
None of these.
27.
When solving f(g(x)) you work in what order?
a)
Left to right
b)
Alphabetical
c)
INSIDE then OUT
d)
It doesn't matter what you solve first, just pick your favorite letter.
28.
p(x) = 4x - 5
q(x) = 2x2
Find p(q(x))
a)
8x2 + 5
b)
8x2 - 10x
c)
8x2 - 5
d)
None of these.
29.
If f(x) =2x2 + 3x - 1 and g(x) = 3x,
find g(f(x)).
a)
6x3 + 9x - 3x +1
b)
6x3 + 9x2 - 3x
c)
6x3 + 9x - 3x - 1
d)
6x2 + 9x - 3
30.

f(x) = 2x - 2

g(x) = 2x3 + 4x2 - x

Find f(g(x))

a)

4x3 + 4x2 - 2x + 2

b)

4x3 + 8x2 - 2x + 2

c)

4x3 + 8x2 - 2x - 2

d)

4x3 + 4x2 - 2x - 2

31.

g(n) = n2 + 5n

f(n) = n + 4

Find g(f(n))

a)

n2 + 3n + 36

b)

n2 + 13n + 16

c)

n2 + 13n + 36

d)

n2 + 3n + 20

32.

g(n) = -2n3 + 5n2 + 2n - 10

h(n) = 6n

Find g(h(n))

a)

-432n3 + 180n2 + 12n - 10

b)

432n3 + 180n2 + 12n - 10

c)

-432n3 + 30n2 + 12n - 10

d)

432n3 + 30n2 + 12n - 10

33.

g(n) = n2 + 5n

f(n) = n + 4

Find g(f(n))

a)

n2 + 3n + 36

b)

n2 + 13n + 16

c)

n2 + 13n + 36

d)

n2 + 3n + 20

34.

g(n) = 2n + 4

Find g(g(-6))

a)

-12

b)

12

c)

36

d)

-36

35.

f(x) = 2x - 5

g(x) = -4x - 2

Find f(g(-2))

a)

26

b)

-26

c)

-7

d)

7

36.

h(x) = -4x + 3

g(x) = 4x - 2

Find h(g(6))

a)

-107

b)

107

c)

-85

d)

85

37.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of f(g(4)).
a)
182
b)
40
c)
61
d)
None of the Above
38.
p(x) = 3x + 4
q(x) = 2x2
Find q(p(-2))
a)
8
b)
-8
c)
28
d)
None of these.
39.
Given f(x) = x2 - 3 and g(x) = x - 3, find f(g(f(3))).
a)
0
b)
3
c)
6
d)
9
40.
p(x) = 3x + 4
q(x) = 2x2
Find p(p(-3))
a)
-9
b)
7
c)
-11
d)
None of these