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Quiz Review Sections 7.1, 7.2, 7.4

Total questions: 88

Worksheet time: 3hrs 44mins

Name
Class
Date
1.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
2.
Evaluate the expression using the quotient rule.
a)
1
b)
g10
c)
g25
d)
g
3.
25x5/5x3
a)
5x
b)
5x8
c)
-5x2
d)
5x2
4.
What is the answer to 10b/2b?
a)
5b
b)
4
c)
5
d)
4b
5.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
6.
a)
4y6
b)
4y22
c)
30y6
d)
30y22
7.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
8.
Simplify:  27a9 ÷ -3a3
a)
-9a3
b)
-9a6
c)
-24a3
d)
24a6
9.
Simplify:  54y10 ÷ 6y5
a)
9y15
b)
y50
c)
9y2
d)
9y5
10.
(36x5y2) ÷ (-9x3y)
a)
-4x2y
b)
4x2y
c)
-4x8y3
d)
4x8y3
11.
(-20x7y5) ÷ (-4x3y2)
a)
-5x4y3
b)
5x4y3
c)
5x10y7
d)
-5x10y7
12.
40x⁴ ÷ 8x
a)
5x³
b)
5
c)
5x⁴
d)
320x⁵
13.
100m²n ÷ 20mn
a)
5m
b)
10m²
c)
25mn
d)
50m³n²
14.
6xy³ ÷ 2y²
a)
3xy
b)
x²y
c)
12xy³
d)
3
15.
3.) Simplify
(45x6y9) / (5x4y2)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
16.
25x5/5x3
a)
5x
b)
5x8
c)
-5x2
d)
5x2
17.
Simplify:  27a9 ÷ (-3a3 )
a)
-9a3
b)
-9a6
c)
-24a3
d)
24a6
18.
Simplify:  54y10 ÷ 6y5
a)
9y15
b)
y50
c)
9y2
d)
9y5
19.
8g⁴h³m⁷ ÷ (-4g⁴h³m⁶)
a)
-2m
b)
2ghm
c)
-32g⁸h⁶m¹³
d)
no solution
20.
24j²k² ÷ 12k
a)
2j²k
b)
4jk
c)
-2j²k²
d)
3j²k³
21.
5d²e³f⁴ ÷ 5d²e²f²
a)
ef²
b)
5ef
c)
25d⁴e⁵f⁶
d)
d⁴e⁵f⁶
22.

Simplify the expression.

a)

1/y5

b)

1/y2

c)

y2

d)

y5

23.

Simplify.

a)

x7

b)

1/x3

c)

x3

d)

1/x7

24.

(x-4)3

a)

1/x7

b)

x

c)

1/x

d)

1/x12

25.

Evaluate

a)

24x4

b)

8x3

c)

8x4

d)

24x8

26.

Simplify.

a)

1

b)

g10

c)

g25

d)

g

e)

0

27.

Simplify.

a)

6r6

b)

3r4

c)

3r6

d)

6r4

28.

Simplify. Express using exponents.

a)

16y6

b)

9y5

c)

16y5

d)

9y6

29.

Simplify. Express using exponents.

a)

12x6y4

b)

12x10y6

c)

22x10y6

d)

22x6y6

30.

Simplify:

a)

x6

b)

x5

c)

x8

d)

x2

31.

Simplify:

a)

9a6

b)

9a5

c)

64a6

d)

6a5

32.
Simplify
a)
-1/6
b)
1/6
c)
6
d)
-6
33.
Simplify
a)
-1/16
b)
1/16
c)
-16
d)
16
34.
Simplify
a)
7a5/b3
b)
b3/7a5
c)
7b3/a-5
d)
7b3 /a5
35.
Simplify
a)
5/4
b)
4/5
c)
-4/5
d)
-4/5
36.
Simplify
a)
-1/125
b)
125
c)
-125
d)
1/125
37.

Simplify

a)

-1/27

b)

1/27

c)

1/9

d)

-1/9

38.

Simplify

a)

-1

b)

1

c)

1/7

d)

-1/7

39.

Simplify

a)

1/5x3

b)

1/x5

c)

-5/x3

d)

5/x3

40.

Simplify

a)

a3b2/4

b)

4a3/b2

c)

4/a3b2

d)

1/4a3b2

41.

Simplify

a)

-1

b)

1/32

c)

-1/32

d)

1

42.

Simplify

a)

-12

b)

-1/12-1

c)

-1/12

d)

1/12

43.

Simplify

a)

b3/64a5

b)

b3/16a5

c)

a5/64b3

d)

b3/-64a5

44.

Simplify

a)

1/16

b)

-1/32

c)

1/32

d)

1/10

45.

Simplify

a)

-1/14

b)

1/14

c)

-1/49

d)

1/49

46.

Simplify

a)

-1/64

b)

1/16

c)

1/64

d)

-1/16

47.

Simplify

a)

3.99

b)

1

c)

-1

d)

-3.99

48.

Simplify

a)

10/x5b3

b)

25/x5b3

c)

1/25x5b3

d)

25/x-5b-3

49.

Simplify

a)

27/x6

b)

9/x6

c)

27x6

d)

27/x-6

50.

Simplify

a)

-1/64

b)

1/16

c)

64/1

d)

1/64

51.
Simplify
a)
0
b)
-1
c)
1
d)
-8.6
52.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
53.
 Evaluate the expression using the quotient rule.
a)
76
b)
7-5
c)
1/75
d)
75
54.
Evaluate the expression using the quotient rule.
a)
1
b)
g10
c)
g25
d)
g
55.
 Evaluate the expression using the quotient rule.
a)
b5
b)
b
c)
b-1
d)
b6
56.
Evaluate the expression using the quotient rule.
a)
122
b)
130
c)
622
d)
630
57.
Evaluate the expression using the quotient rule.
a)
y15
b)
y50
c)
y2
d)
y5
58.

Factor and cancel out in order to simplify.

a)

1/(n-7)

b)

n-7

c)

(n-6)/(n-7)

d)

n-6

59.

Factor and cancel out in order to simplify.

a)

9(x+10)

b)

x+10

c)

9

d)

x+9

60.

Factor and cancel out in order to simplify.

15x2/5x3

a)

3x

b)

3/x

c)

x/3

d)

5/x

61.

Simplify the rational function

a)

1/(x + 5)

b)

1/(x - 5)

c)

(x - 5)(x + 5)

d)

(x - 5)/[(x - 5)(x + 5)]

62.

Simplify the rational function

a)

1/(3x)

b)

3x(x + 1)

c)

3x

d)

(x + 1)

63.
Simplify
a)
(x-9)/(x+9)
b)
1/(x-9)
c)
(x+9)
d)
1/(x+9)
64.

Simplify (look for common factors that you can factor out and cancel out)

a)

A.4x³/(x+2)

b)

B.4x³/(x+10)

c)

C.2x³/(5x+1)

d)

D. 2x³/(x+5)

65.
Simplify
a)
(n-2)/(n+2)
b)
(n+2)/(n-2)
c)
1/(n+2)
d)
1/(n-2)
66.
Find the zero(s) of the function.
a)
x = -3
b)
x = 1
c)
x = {-3, 1}
d)
y = 1
67.
Find the zero(s) of the function.
a)
x = 1
b)
x = -3
c)
x = {-1, 3}
d)
x = 2
68.
Find the zero(s) of the function.
a)
x = -3
b)
x = 3
c)
x = -12
d)
x = 12
69.
Find the zero(s) of the function.
a)
x = 10
b)
x = -10
c)
x = -8/5
d)
x = 8/5
70.

What are the zeros of the function?

a)

x = 3, -2, -5, 1, 0

b)

x = -5, 1

c)

x = 3, -2

d)

x = 0, -5, 1

71.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

72.

The domain are the ______ values.

a)

y

b)

x

c)

Both x and y

73.

g(x), h(x), and f(x) all mean

a)

x=

b)

y=

74.

Find the domain for the function. f(x)= 2x -1 / 3x + 6

a)

x cannot equal to 2

b)

x cannot equal to -2

c)

x cannot equal to 3

d)

All real numbers

75.

Find the domain of the function. f(x) = -2 / x+3

a)

x cannot equal to 3

b)

x cannot equal to 1

c)

x cannot equal to -3

d)

All real numbers

76.

Find the domain of the function. f(x) = x /2x+4

a)

x cannot equal to 2

b)

x cannot equal to 4

c)

x cannot equal to -2

d)

All real numbers

77.

Find the domain of the function. f(x) = x3 / x+8

a)

x cannot equal to 2

b)

x cannot equal to -2

c)

x cannot equal to -8

d)

All real numbers

78.

Find the domain of the function. f(x) = x+1 / 2x+3

a)

x cannot equal to -1.

b)

x cannot equal to 2.

c)

x cannot equal to 3.

d)

All real numbers.

79.

Find the domain of the function. Select all answers that apply. f(x) = x+5 / 3x2 - 3

a)

x cannot equal to 1

b)

x cannot equal to 3

c)

x cannot equal to -1

d)

x cannot equal to -3

80.

Find the domain of the function. f(x) = 3x2/ x4 - 1

a)

x cannot equal to 3

b)

x cannot equal to -1

c)

x cannot equal to 1

d)

All real numbers

81.

Find the domain of the function. Select all answers that apply. f(x) = x3 / x2 - 4

a)

x cannot equal to - 2

b)

x cannot equal to -1

c)

x cannot equal to 2

d)

x cannot equal to 1

82.

Find the domain of the function. f(x) = x3 / x2 - 9

a)

x cannot equal to 3

b)

x cannot equal to -3

c)

x cannot equal to 9

d)

x cannot equal to -9

83.

Find the domain of the function. f(x) = 3 / x+3

a)

x cannot equal to 9

b)

x cannot equal to -3

c)

x cannot equal to 3

d)

All real numbers

84.

Find the domain of the function. f(x) = -2 / 4x-4

a)

x cannot be equal to -1

b)

x cannot equal to 1

c)

x cannot equal to 0

d)

All real numbers

85.

Find the domain of the function. f(x) = -2 / -2x+2

a)

x cannot equal to 2

b)

x cannot equal to -1

c)

x cannot equal to 1

d)

All real numbers

86.

What is the domain?

a)

x ≠ 3

b)

x ≠ -1

c)

x ≠ 3, -1

d)

x ≠ 3, 1

87.

What is the domain?

a)

All real numbers except 1/2

b)

All real numbers

c)

All real numbers except -4

d)

All real numbers except 4

88.

What is the domain?

a)

All real numbers

b)

All real numbers except 4

c)

All real numbers except 2

d)

All real numbers except 2 and -2

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