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WorksheetsTest Review (FEB 2020)
Total questions: 60
Worksheet time: 2hrs 59mins
Name
Class
Date
1.
Simplify to an equivalent expression BUT leave in exponent form.
43⋅45
43⋅45
a)
48
b)
168
c)
415
d)
1615
2.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
3.
Simplify (7x4)(9x3)
a)
16x12
b)
79 x12
c)
63x4+3 = 63x7
d)
63x12 noooo oh nooooo
4.
simplify 7-2
a)
1/72 = 1/49
b)
-49
c)
-14
d)
1/14
5.
Simplify and leave in exponent form
82/85
82/85
a)
83
b)
82-5 = 8-3 = 1/83
c)
8-3
d)
87
6.
which is/are equivalent to 55?
54⋅50 54⋅51 54⋅52 56⋅5-1
a)
54⋅50 54⋅51
b)
54⋅51 54⋅52
c)
54⋅52 56⋅5-1
d)
54⋅51 56⋅5-1
7.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
8.
Simplify: 3x3 ⋅ 3x
a)
32x4
b)
3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x
c)
9x4
d)
3x4
9.
Simplify: x2 ⋅ x5
a)
x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x
b)
x7
c)
x10
d)
x ⋅ x
10.
Simplify: (6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
11.
Simplify the expression: r6⋅r2⋅r3=
a)
r6+2+3
b)
r11
c)
11r
12.
Evaluate the expression using the quotient rule.
a)
122
b)
130
c)
622
d)
630
13.
40
a)
0
b)
1
c)
4
d)
-4
14.
Evaluate the expression using the quotient rule.
a)
76
b)
7-5
c)
1/75
d)
75
15.
a)
a8b13
b)
a2b7
c)
a15b30
16.
Simplify: 3n5⋅5n10
a)
15n5
b)
8n15
c)
15n50
d)
15n15
17.
Simplify: 2x9y12x5y4
a)
6x−4y3
b)
x46y3
c)
2x412y3
d)
y36x−4
18.
Simplify: (3x5)6
a)
18x30
b)
729x11
c)
36x30
d)
729x30
19.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
20.
Change from standard form to scientific notation: 12,000,000
a)
12.0 x 107
b)
0.12 x 107
c)
1.2 x 106
d)
1.2 x 107
21.
Change from standard form to scientific notation: 450,000
a)
4.5 x 105
b)
45 x 105
c)
4.5 x 104
d)
4.5 x 106
22.
Change from standard form to scientific notation: 0.000398
a)
39.8 x 10-5
b)
3.98 x 10-5
c)
3.98 x 10-4
d)
39.8 x 10-6
23.
Change from standard form to scientific notation: 0.004078
a)
4.078 x 10-3
b)
4.078 x 103
c)
40.78 x 10-4
d)
.4078 x 10-2
24.
Try to change the number back to standard form: 3.97 x 10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
25.
Try to change the number back to standard form: 6.79 x 104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
26.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
27.
How do you write
8.317 x 106
in standard form?
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
28.
Solve:
(2.1×102) × (3.0×104)
(2.1×102) × (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
29.
Solve:
(2.2 x 10 4) x (7.1x 10 5)
(2.2 x 10 4) x (7.1x 10 5)
a)
1.562 x 1010
b)
15.62 x 109
c)
15.62 x 1020
d)
1.562 x 1020
30.
(2 x 10-5)+ (7 x 10-5)
a)
9 x 10-10
b)
14 x 10-5
c)
9 x 10-5
d)
1.4 x 10-4
31.
(8 x 104) + (4 x 104)
a)
12 x 104
b)
1.2 x 105
c)
1.2 x 109
d)
1.2 x 108
32.
(5 x 106) - (3 x 106)
a)
2 x 1012
b)
2 x 106
c)
2 x 1036
d)
2 x 100
33.
(8 x 104) - (2 x 104)
a)
16 x 1016
b)
16 x 108
c)
6 x 108
d)
6 x 104
34.
(5 x 106)(5 x 107)
a)
2.5 x 1012
b)
2.5 x 1014
c)
25 x 1012
d)
25 x 1013
35.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
36.
Which of these are NOT in scientific notation?
a)
1.2 x 103
b)
5.3 x 109
c)
2.0 x 100
d)
10 x 102
37.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
38.
Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6
39.
The Earth is approximately 90,000,000 miles from the sun. How long does it take light from the sun to reach the earth? Use the speed of light to be approximately 2 x 105 miles per second.
a)
4.5 x 102 seconds
b)
4.5 seconds
c)
2.2 x 102 seconds
d)
4.5 x 101 seconds
40.
The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation?
a)
4.5 x 10-5
b)
45 x 10-4
c)
45 x 104
d)
4.5 x 105
41.
The Disney Online store sold 2 x 104 Anna dolls last year. They also sold 8 x 104 Elsa dolls. How many more Elsa dolls were sold than Anna dolls?
a)
4.0 x 100 more dolls
b)
10 x 104 more dolls
c)
6.0 x 104 more dolls
d)
6.0 x 100 more dolls
42.
Dylan traveled 1 × 105 miles last year. This year he has traveled 3 × 107 miles. How many miles has he traveled altogether the past two years?
a)
3.0 x 1012 miles
b)
4.0 x 1012 miles
c)
3.01 x 107 miles
d)
3.10 x 107 miles
43.
How do you find the volume of a cylinder?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
44.
How do you find the volume of a cone?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
45.
How do you find the volume of a sphere?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
46.
A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?
a)
1,676 mm3
b)
18,850 mm3
c)
33,510.3 mm3
d)
268,083 mm3
47.
A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.
a)
176.6 ft3
b)
141.3 ft3
c)
88.3 ft3
d)
70.7 ft3
48.
A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere? Use π=3.14.
a)
261,000
b)
2,351,000
c)
18,810,000
d)
41,210,000
49.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
50.
Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
51.
What shape is this?
a)
Cone
b)
Sphere
c)
Cube
d)
Pyramid
52.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
53.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
54.
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.
a)
50.24 ft3
b)
150.72 ft3
c)
not here
d)
192.65 ft3
55.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.
Which equation can be used to find the volume of the container?
Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
56.
Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?
a)
5596.07 in3
b)
593.76 in3
c)
1696.46 in3
d)
94.5 in3
57.
Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can?
a)
12.0
b)
24.0
c)
75.4
d)
18.8
58.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone.
b)
The cone is 1/3 the volume of the cylinder.
c)
They have the same volume.
d)
Their volumes are not related at all.
59.
A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?
a)
8π in3
b)
24π in3
c)
48π in3
d)
144π in3
60.
Find the volume of a HEMIsphere with a radius of 4.
a)
85.3π
b)
62.67π
c)
42.67π
d)
8π
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