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Unit 2 Test Review - Algebraic Expressions

Total questions: 80

Worksheet time: 7hrs 40mins

Name
Class
Date
1.
the difference of 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
2.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
3.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
4.
5 times a number, minus 8  
a)
5m - 8
b)
5(m + 8)
c)
8m + 5
d)
8(m + 5)
5.
"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip"  the terms around.
a)
True
b)
False
6.
The product of 6 and y..
a)
6 + y
b)
6y
c)
y - 6
d)
y / 6
7.
5 less than  r
a)
5 - r
b)
r - 5
c)
5r
d)
r + 5
8.
r less than 5
a)
r - 5
b)
5 - r
c)
r + 5
d)
5 + r
9.
Which algebraic expression best represents the following verbal expression?
 
two more than three times a number
a)
3n - 2
b)
3n + 2
c)
3 + 2n
d)
3 - 2n
10.
Which algebraic expression best represents the following verbal expression?
 
half a number x plus 4
a)
2x + 4
b)
x + 4(½)
c)
½x + 4 
d)
x + ½ + 4
11.
Which algebraic expression best represents the following verbal expression?
 
four less than the product of b and three
a)
4 - 3b
b)
4 - (3 + b)
c)
(4 + b) - 4
d)
3b - 4
12.

5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

13.

6(x + -2)

a)

6x + -2

b)

6x + -12

c)

4x

d)

6x - 2

14.

6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

14x + 3

d)

9 + 7x

15.

6w - 6w + 6w + 9w

a)

w

b)

15w

c)

9w

d)

6w

16.
4a + 9 + a
a)
5a + 9
b)
14a
c)
3a + 9
d)
5a - 9
17.

9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

18.

5x - 6x - 8x + 7

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

19.

7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

20.

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

21.

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

22.
7d + 5 + 6d - 2
a)
16d
b)
16
c)
13d + 3
d)
13d - 7
23.

5a + 2b + 6a + 4b

a)

11a + 6b

b)

2a + 2b

c)

a + 2b

d)

-a - 2b

24.
15x-2x+12
a)
-13x+12
b)
12x+13x
c)
13-12+x
d)
13x+12
25.
4(x + 2) + 6x
a)
4x + 2 + 6x
b)
4x + 8 + 6x
c)
10x + 8
d)
10x + 2
26.
8x - 2(x + 3)
a)
6x - 6 
b)
6x - 5
c)
6x + 6 
d)
6x + 3
27.
Simplify the following expression:
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
28.

6x + 3(-2 - x) - 4

a)

9x - 10

b)

3x + 2

c)

3x - 10

d)

9x + 10

29.

6x + 3(-2 - x) - 4

a)

9x - 10

b)

3x + 2

c)

3x - 10

d)

9x + 10

30.
3(2x+1)+2(x-4)
a)
8x-3
b)
8x+11
c)
4x-5
d)
8x-5
31.
Simplify:  x10⋅x4
a)
x40
b)
x14
c)
x6
d)
2x14
32.

Simplify: x8x2\frac{x^8}{x^2}  

a)

x16

b)

x4

c)

x5

d)

x6

33.
Simplify to an equivalent expression BUT leave in exponent form.
                                   43⋅45
a)
48
b)
168
c)
415
d)
1615
34.

Using exponents, simplify the following expression:

(2⁸)²

a)

2162^{16}

b)

2102^{10}

c)

262^6

d)

242^4

35.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
36.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
37.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
38.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: 

h8h3\frac{h^8}{h^3}  

a)

add

b)

subtract

c)

multiply

d)

divide

39.

Simplify using your exponent rule(s) (-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

40.

Simplify using your exponent rule(s) x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

41.

(−56)0\left(-56\right)^0  

a)

1

b)

0

c)

-56

d)

-1

42.
Simplify:  (5p9q3)(2pq7)
a)
7p10q10
b)
10p9q21
c)
10p10q10
d)
10p8q-4
43.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
44.

Which expression is equivalent to the given?

a)
b)
c)
d)
45.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
46.

Using exponents, simplify the following expression

a)

x-7

b)

1/x7

c)

x7

d)

x-9

47.

Using exponents, simplify the following expression:


(f-6)(f10)

a)

f16

b)

f4

c)

1/f4

d)

1/f16

48.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
49.
(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
50.
(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
51.
(8 x 104) - (2 x 104)
a)
16 x 1016
b)
16 x 108
c)
6 x 108
d)
6 x 104
52.
(5 x 106) - (3 x 106)
a)
2 x 1012
b)
2 x 106
c)
2 x 1036
d)
2 x 100
53.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
54.
(5 x 106)(5 x 107)
a)
2.5 x 1012
b)
2.5 x 1014
c)
25 x 1012
d)
25 x 1013
55.
5 x 1012
------------
2 x 106
a)
2.5 x 102
b)
2.5 x 106
c)
3 x 102
d)
2.5 x 1018
56.
2 x 105
----------
8 x 102
a)
2.5 x 104
b)
2.5 x 102
c)
25 x 103
d)
.25 x 103
57.
(2.8 * 108) (2.2*103)
a)
6.16 * 1024
b)
5.0 * 1011
c)
6.16 * 1011
d)
61.6 * 1011
58.
(8.4 * 106)/(2.1 * 103)
a)
0.4 * 104
b)
400 * 10-3
c)
4 * 103
d)
4 * 102
59.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
60.
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
61.
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
62.
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
63.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
64.
(2.9 x 10-9) - (1.7 x 10-9)
a)
1.2 x 10-18
b)
1.2 x 10-9
c)
4.6 x 10-9
d)
1.335 x 10-4
65.
Find the difference
(3.8 x 104) - (2 x 103)
a)
1.8 x 104
b)
1.8 x 101
c)
3.6 x 101
d)
3.6 x 104
66.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 103
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 101
67.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 105
d)
3 x 1011
68.
UNDERSTANDING:
The first number in scientific notation must be...
a)
between and including 0 and 10
b)
between and including 1 and 9.9999
c)
between and including 0 and 9.999
d)
between and including 1 and 10 
69.

Which answer shows 35,067,800 written in scientific notation?

a)

3.50678⋅10−73.50678\cdot10^{-7}

b)

3.50678⋅1073.50678\cdot10^7

c)

3.50678⋅1083.50678\cdot10^8

d)

35067.8⋅10235067.8\cdot10^2

70.

Which answer shows 0.00897 written in scientific notation?

a)

0.897⋅10−20.897\cdot10^{-2}

b)

8.97⋅10−38.97\cdot10^{-3}

c)

8.97⋅10−28.97\cdot10^{-2}

d)

8.97⋅1038.97\cdot10^3

71.

6.28⋅10123.14⋅104\frac{6.28\cdot10^{12}}{3.14\cdot10^4}  

When evaluating, what will be the exponent of 10 in the quotient?

a)

3

b)

4

c)

8

d)

16

72.
3. In the year 2000, the United States public debt was about 5.6 x 1012 dollars.  The population of the United States in that year was about 2.8 x 108 people.  What was the average debt per person?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
73.

2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

74.

There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 101 coins, how many coins are there altogether?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

75.

The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

76.

A factory can make 3 × 104 t-shirts per day, how many t-shirts will it make in 2.5 ×102 days?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

77.

A computer's hard disk drive holds 8 x 107 bytes of information. If Jill buys an extra memory stick that holds 3 x 106 bytes of information, how much memory will the computer hold?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

78.

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 106 and LA’s population was about 3.8 × 106. What is the population of these two cities combined?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

79.

The population of Mathville is 5.6 x 103. The population of Algeville is 1.3 x 104. How many more people are there in Algeville?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

80.
A microgram is equal to 1 x 10 -6 grams. How many times greater than a microgram is 1 x 102 grams? 
a)
1 x 10-8
b)
1 x 10-4
c)
1 x 104
d)
1 x 108

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