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Unit 2 Review

Total questions: 77

Worksheet time: 6hrs 57mins

Name
Class
Date
1.

How would you write 4.3756 x 104 in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

2.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
3.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
4.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
5.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
6.

How do you write

1001

in scientific notation?

a)

1.0001 x 104

b)

1.01 x 105

c)

1.001 x 103

d)

10.1 x 103

7.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
8.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
9.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
10.
(5 x 106)(5 x 107)
a)
2.5 x 1012
b)
2.5 x 1014
c)
25 x 1012
d)
25 x 1013
11.

Which of the following is correct scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

12.

How would you write 0.0005 in scientific notation?

a)

50 x 105

b)

5 x 10-4

c)

5 x 103

d)

.5 x 10-3

13.

How would you write 4.3756 x 104 in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

14.
Which of these numbers are NOT in scientific notation?
a)
1.2 x 103
b)
5.3 x 109
c)
2.0 x 100
d)
10 x 102
15.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

16.

How would you write 564,000,000 in scientific notation?

a)

5.64 x 10-7

b)

5.64 x 106

c)

5.64 x 108

d)

56.4 x 107

17.

How would you write -5.6 x 10-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

18.

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

19.
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
20.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
21.

(2 x 107) x (4 x 10-3)

a)

8 x 1010

b)

8 x 10-4

c)

8 x 10-10

d)

8 x 104

22.

(3 x 108) x (2 x 1012)

a)

6 x 1020

b)

5 x 1020

c)

6 x 1096

d)

5 x 1096

23.

(7 x 1012) x (2 x 1010)

a)

1.4 x 1022

b)

1.4 x 1023

c)

1.4 x 1021

d)

9 x 1022

24.

(9 x 1018) ÷ (3 x 1016)

a)

3 x 102

b)

6 x 102

c)

27 x 1034

d)

3 x 1034

25.

(8 x 1055) ÷ (2 x 1052)

a)

6 x 103

b)

4 x 103

c)

4 x 10107

d)

4 x 1055

26.
Simplify.
50
a)
5
b)
1
c)
0
d)
50
27.
a)

k7

b)

k3

c)

1k10\frac{1}{k^{10}}

d)

k10

28.
a)
b6
b)
b7
c)
b1
d)
b-6
29.
a)
d2
b)
d80
c)
d810
d)
d18
30.

Evaluate the expression using the quotient rule.

a)

x13x^{13}

b)

x5x^5

c)

x36x^{36}

d)

1x5\frac{1}{x^5}

31.

Evaluate the expression using the quotient rule.

a)

343^4

b)

134\frac{1}{3^4}

c)

3−123^{-12}

d)

3323^{32}

32.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
33.

Simplify

(2m4)(5m2)

a)

10m6

b)

10m8

c)

7m6

d)

7m8

34.

(5x2)0(9x)2

a)

45x4

b)

81x

c)

81x2

d)

0

35.

Which is equivalent to the given expression?

a)
b)
c)
d)
36.

Evaluate

a)
b)
c)
d)
37.

Simplify.

a)
b)
c)
d)
38.

Simplify.

a)
b)
c)
d)
39.

Simplify

a)
b)
c)
d)
40.

63 . 62

a)

365

b)

366

c)

65

d)

66

41.

87 . 82

a)

89

b)

814

c)

649

d)

6414

42.

(12x2)(6x3)0

a)

72x5

b)

12x2

c)

1

d)

0

43.

9x + 8x

a)

72x

b)

1x

c)

17x

d)

-1x

44.

x + 1 + 3x

a)

3x + 1

b)

4x + 1

c)

3x + 4

d)

5x + 3

45.

1 - 3x - 1

a)

-3x

b)

2 - 3x

c)

3x

d)

3x - 2

46.

3 + 4x - 1

a)

7x + 1

b)

4x - 2

c)

7x - 1

d)

4x + 2

47.

4x - 3 + 2 - 2x

a)

6x + 5

b)

2x + 1

c)

2x - 1

d)

6x - 1

48.

8(8 + 4x) + 6

a)

64 + 38x

b)

70 + 32x

c)

32x + 38

d)

70 + 38x

49.

-9 + 4(4x + 9)

a)

32x + 16

b)

27 + 16x

c)

16x

d)

16x + 18

50.

2 - 10y + 2y

a)

2 - 8y

b)

-8y + 2

c)

2 - 12y

d)

10y

51.

-4r - 10(1 + 3r)

a)

-34r + 10

b)

-26r + 10

c)

26r - 10

d)

-34r - 10

52.

6t - 8t + 5

a)

-14t + 5

b)

-2t + 5

c)

2t + 5

d)

14t - 5

53.

-10(s + 5) - 4s

a)

-14s + 5

b)

-6s -50

c)

-6s + 5

d)

-14s - 50

54.

-9w + 7 - 4w - 16

a)

-13w -9

b)

5w -23

c)

-13w - 23

d)

-5w - 9

55.

-2m - 5(2 + 7m)

a)

-37m - 10

b)

33m -10

c)

33m + 10

d)

-37m - 5

56.

-8y + 4y - 11

a)

-12y - 11

b)

4y -11

c)

-4y - 11

d)

12y - 11

57.

11t - 5 + 6 - 14t

a)

25t + 11

b)

-25t + 1

c)

3t - 11

d)

-3t + 1

58.
46 less than a number
a)
46 - n
b)
n - 46
c)
46 + n
d)
n + 46
59.
5 times a number, minus 8  
a)
5m - 8
b)
5(m + 8)
c)
8m + 5
d)
8(m + 5)
60.
"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip"  the terms around.
a)
True
b)
False
61.
Write an algebraic expression for:
 14 decreased by a number
a)
14+n
b)
14-n
c)
n-14
d)
14 decreased by a number
62.
The product of 6 and y..
a)
6 + y
b)
6y
c)
y - 6
d)
y / 6
63.

The quotient of 15 and a number plus 1

a)

15 / g - 1

b)

15 / g + 1

c)

g / 15 + 1

d)

g + 1 / 15

64.
s increased by 3
a)
s - 3
b)
3s
c)
s + 3
d)
s / 3
65.
18 times a number
a)
n - 18
b)
18n
c)
18 + n
d)
18 - n
66.
5 less than  r
a)
5 - r
b)
r - 5
c)
5r
d)
r + 5
67.
r less than 5
a)
r - 5
b)
5 - r
c)
r + 5
d)
5 + r
68.
"times"
a)
ADD
b)
SUBTRACT
c)
MULTIPLY
d)
DIVIDE
69.
"total"
a)
ADD
b)
SUBTRACT
c)
MULTIPLY
d)
DIVIDE
70.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
71.
Write an algebraic expression for:
three times a number plus 16
a)
3(16)+n
b)
16n+3
c)
3n+16
72.
Translate the sentence into an equation.
Seven subtracted from n is 18 
a)
n + 7 = 18
b)
7 - n = 18
c)
n - 7 = 18
d)
n + 7 = 18n
73.
Translate the sentence into an equation:
Four more than six times a number is 18.
a)
4 + 6x = 18
b)
4x + 6 = 18
c)
6x + 4 = 18
d)
not enough info
74.
How would you translate
x - 5 = 12 into words?
a)
x - 5 = 12
b)
The product of x and 5 is twelve
c)
x less than 5 is 12
d)
Five less than x is 12.
75.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
76.
4 less than x 
a)
4 - x
b)
x - 4
c)
4x
d)
-4x
77.

"difference of"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE