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Unit 1 Test Review

Total questions: 40

Worksheet time: 2hrs 38mins

Name
Class
Date
1.
simplify 5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
2.
Simplify to an equivalent expression BUT leave in exponent form.
                                   43⋅45
a)
48
b)
168
c)
415
d)
1615
3.
  simplify    7-2
a)
1/7= 1/49
b)
-49
c)
-14
d)
1/14
4.

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

5.
Simplify:   x⋅ x5
a)
x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x 
b)
x7
c)
x10
d)
x ⋅ x
6.
Evaluate the expression using the quotient rule.
a)
122
b)
130
c)
622
d)
630
7.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
8.
40
a)
0
b)
1
c)
4
d)
-4
9.
 Evaluate the expression using the quotient rule.
a)
76
b)
7-5
c)
1/75
d)
75
10.
Simplify to an equivalent expression BUT leave in exponent form.
                                   43⋅45
a)
48
b)
168
c)
415
d)
1615
11.
What is the base in 28 ?
a)
8
b)
2
12.
3³ ⋅ 3
a)
34
b)
33
c)
30
d)
1 ⁄ 34
13.
X⋅ X⋅ X⋅ X
a)
x9
b)
x24
c)
x10
d)
x25
14.

Write this expression using positive exponent:

x-7

a)

-7

b)

-7x

c)

1/x7

d)

-1/x7

15.

Simplify (evaluate):

2-1

a)

1/2

b)

1/1

c)

-1/1

d)

-1/2

16.

Write this expression using positive exponent:

9-3

a)

93

b)

1/9-3

c)

1/93

d)

729

17.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating  decimal.
18.
What type of number is π ?
a)
Rational
b)
Irrational
19.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
20.
Which number is rational below?
a)
√20
b)
√64
c)
d)
√7
21.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
22.

Which of the following is irrational?

a)

0.444444444

b)

-4/5

c)

0.23242526...

d)

0.2

23.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

24.
√4
a)
irrational
b)
rational
25.

√7

a)

Rational

b)

Irrational

26.

-17.5

a)

Rational

b)

Irrational

27.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
28.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
29.

.141414141414...

a)

Rational

b)

Irrational

30.
Round to the Nearest Hundredth: √13
a)
5.6
b)
2.6
c)
3.9
d)
3.6
31.
Round to the Nearest Hundredth: √7
a)
3.5
b)
2.7
c)
2.8
d)
14
32.
Round to the Nearest Hundredth: √119
a)
10.9
b)
10.7
c)
11.1
d)
19
33.
Find the best estimate for √18 .
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
34.
Convert the following decimal to a fraction in simplest form.
0.6
a)
6/9
b)
3/5
c)
1/6
d)
0/6
35.
Convert the following decimal to a fraction in simplest form.
0.9
a)
1/9
b)
1/6
c)
1/3
d)
9/10
36.
Convert the following decimal to a fraction in simplest form.
0.45
a)
4/5
b)
45/10
c)
9/20
d)
9/25
37.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
38.
a)
7/50
b)
14/9
c)
7/45
d)
14/99
39.
a)
77/25
b)
77/250
c)
308/9
d)
308/999
40.
Convert 0.252525... to a fraction.
a)
25/9
b)
25/99
c)
25/100
d)
1/4