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Pre-Algebra Chapter 1

Total questions: 45

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
2.

Simplify 4x-7

a)

-7

b)

-7x

c)

4/x7

d)

1/4x7

3.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
4.

Rewrite each expression with a negative exponent.

1/124

a)

1/12-4

b)

-124

c)

1/20,736

d)

12-4

5.
Rewrite using a positive exponent.
(-5)-4
a)
(-5)4
b)
1/(-5)-4
c)
1/(-5)4
d)
-625
6.
Identify the fraction equivalent to the decimal below.
a)
2   23/100
b)
2   23/10
c)
2   23/90
d)
2   23/99
7.
Identify the fraction equivalent to the decimal below.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
8.
Charlotte ran 3.1 miles this morning.  How can you write this distance as a fraction?
a)
3   1/10
b)
3   1/3
c)
3   1/100
d)
3/10
9.
Convert 2/25 from a fraction to a decimal
a)
2.25
b)
.25
c)
.8
d)
.08
10.
Convert 11/20 from a fraction to a decimal
a)
5.5
b)
.55
c)
.11
d)
.1120
11.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

a)

75

b)

76

c)

67

d)

77

12.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
13.
Solve.
(1/2)3
a)
1/8
b)
3/6
c)
3/8
d)
Answer Not Given
14.

(-52)

a)

25

b)

-25

c)

10

d)

-10

15.
-(52)
a)
25
b)
-25
c)
10
d)
-10
16.

Evaluate the expression when

x =5 and z = -4

z2 - 2x

a)

6

b)

2

c)

-4

d)

-26

17.

Solve x2 = 144

a)

x = 12

b)

x = -12

c)

x = 12 and -12

d)

x = 72

18.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
19.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
20.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
21.
Express the following in standard notation:
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
22.
Express the following in scientific notation:
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
23.
Express the following in scientific notation:
0.0000002203
a)
.02203 x 107
b)
22.03 x 10-6
c)
2.203 x 10-7
d)
22.03 x 106
24.
Convert to scientific notation:
520,000,000  
a)
52 x 107
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
25.
Convert to standard notation:
2.4 x 10-3 
a)
2400
b)
0.24
c)
0.024
d)
0.0024
26.
Convert to standard notation:
3.05 x 105 
a)
305,000
b)
305
c)
3,050,000
d)
30,500
27.

In Scientific Notation, if the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

28.

In Scientific Notation, if the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

29.

Solve √16

a)

2

b)

4

c)

8

d)

32

30.

The area of a square is 400 m2. What is the length of the side of the square?

a)

20 m

b)

80 m

c)

100 m

d)

200 m

31.
∛8 =
a)
4
b)
3
c)
2
d)
512
32.
a)
9/12
b)
3/4
c)
4/8
d)
5/4
33.

∛-216

a)

-6

b)

6

c)

no real solution

d)

72

34.

Solve √-25

a)

5

b)

-5

c)

50

d)

no real solution

35.

Solve -√100

a)

10

b)

-10

c)

50

d)

no real solution

36.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
37.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
38.
What number below is a natural, whole, integer, rational, and real number ?
a)
-4
b)
5.1
c)
0.7
d)
3
39.
Classify √35.
a)
Rational, Integer
b)
Whole, Integer, Rational 
c)
Irrational, Integer
d)
Irrational
40.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
41.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
42.
How would 0.333333 be classified?
a)
rational and real 
b)
real and whole
c)
only integer 
d)
only irrational
43.
Which of the following statements is always true?
a)
All integers are whole numbers
b)
all rational numbers are integers
c)
some whole numbers are not rational numbers
d)
all whole numbers are integers
44.
Which number is an irrational number?
a)
√9
b)
√49
c)
√100
d)
√120
45.

Order 3.1, √ 10 , and 3 1/4 from greatest to least.

a)

3.1, √ 10, 3 1/4

b)

√ 10, 3 1/4, 3.1

c)

3.1, 3 1/4, √ 10

d)

3 1/4, √ 10, 3.1

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