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Topic 1 Final Review

Total questions: 42

Worksheet time: 1hrs 7mins

Name
Class
Date
1.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
2.
a)
3/10
b)
1/3
c)
1/9
d)
30/99
3.
a)
7/50
b)
14/9
c)
7/45
d)
14/99
4.
Identify the fraction equivalent to the decimal below.
a)
2 4/99
b)
2   4/9
c)
2   2/5
d)
2 4/10
5.
.141414141414...
a)
Rational 
b)
Irrational 
6.
pi - 3.141592....
a)
Rational
b)
Irrational 
7.
√2
a)
Rational
b)
Irrational
8.
√7
a)
Rational 
b)
Irrational
9.
√25
a)
Rational
b)
Irrational
10.
a)
D, C, A, B
b)
D, A, B, C
c)
D, B, C, A
d)
A, C, B, D
11.
a)
7 and 8
b)
8 and 9
c)
17 and 18
d)
35 and 36
12.
a)
M
b)
N
c)
O
d)
P
13.
Put in order of least to greatest.
√5, 3, 2½, √8
a)
3, 2½, √8, √5
b)
2½, 3, √5, √8
c)
√5, 3, 2½, √8
d)
√5, 2½, √8, 3
14.

Solve for x.

x2 = 64

a)

x=±8x=\pm8

b)

×=±32\times=\pm32

c)

×≡8\times\equiv8

d)

×=−8\times=-8

15.
The area of a square painting is 81 cm2.  What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
16.

38=^3\sqrt{8}=  

a)

2

b)

-2

c)

±2

d)

None

17.

The number 1,000 is a...

a)

perfect square

b)

perfect cube

18.
Find the cube root(s): ∛1
a)
1
b)
-1
c)
±1
d)
none
19.

x2 = 25

a)

x = 5

b)

x = -5

c)

x = ±5

d)

x = 25

20.
144
a)
Is a perfect square.
b)
Is not a perfect square.
21.
x5 * x4
a)
x9
b)
x20
c)
2x9
d)
9x
22.

Simplify. Your answer should contain only positive exponents.


34 ⋅ 37

a)

328

b)

33

c)

3-3

d)

311

23.

Simplify.  Your answer should contain only positive exponents.


(85)3

a)

888^8  

b)

8158^{15}  

c)

828^2  

d)

182\frac{1}{8^2}

24.

Simplify. Your answer should contain only positive exponents.

5752\frac{5^7}{5^2}  

a)

5145^{14}  

b)

595^9  

c)

555^5  

25.

Simplify.  Your answer should contain only positive exponents.



6-4

a)

646^4 

b)

 164 \frac{1}{6^{4\ }}

c)

16\frac{1}{6}

d)

626^2  

26.

Simplify. Your answer should contain only positive exponents.

17017^0  

(a)  

27.

Simplify. Your answer should contain only positive exponents.

x2⋅x4x^2\cdot x^4  



a)

x2x^2  

b)

x6x^6  

c)

x−2x^{-2}  

d)

x8x^8  

28.
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
29.
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
30.
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
31.
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
32.
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
33.
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
34.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
35.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
36.
Solve:
(9 x 10-6) / (3 x 10-3) 
a)
27 x 10-9
b)
3 x 10-3
c)
3 x 10-9
d)
27 x 10-3
37.
Solve:
(2.1×10​2​​) × (3.0×10​4)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
38.
Write the answer in scientific notation.
7.3 x 105  +   3.7 x 105  =
a)
11.0 x 105
b)
1.1 x 1010
c)
1.10 x 1011
d)
1.1 x 10 6
39.
Write the answer in scientific notation.
5 x 108 -   3.4 x 108  =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
40.
Write the answer in scientific notation.
4.1 x 105 +   5.5 x 106  =

a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
41.
Which is the smallest?
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
42.
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
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6