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Benchmark 1-6 review

Total questions: 227

Worksheet time: 15hrs 6mins

Name
Class
Date
1.
Find the GCF of 64 and 144.
Hint-Remember to use your factor trees to help you.
a)
8
b)
6
c)
16
d)
2
2.
Using a Factor Tree, find the prime factorization of 48 in expanded form. 
a)
2 x 12 x 12
b)
2 x 2 x 2 x 2 x 3 x 3 x 5
c)
2 x 2 x 2 x 2 x 3
d)
7 x 7 x 7 
3.
GCF of 27 and 70
a)
3
b)
5
c)
7
d)
10
4.
Which pair of numbers has a GCF of 5?
a)
10 and 25
b)
30 and 40
c)
45 and 9
d)
50 and 25
5.
Which of these is NOT a factor of 20?
a)
2
b)
4
c)
6
d)
20
6.
Prime numbers have:
a)
Exactly 2 factors
b)
2 pairs of factors
c)
More than 2 factors
d)
1 factor
7.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
8.
Is 35 prime or composite?
a)
prime
b)
composite
9.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
10.
Find the prime number
a)
10
b)
9
c)
7
d)
4
11.
What is the LCM of 2, 4, 6?
a)
6
b)
12
c)
4
d)
2
12.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
13.
There are 14 girls and 21 boys in Mrs. Andrew's gym class. To play a certain game, the students must form teams. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?
a)
7 teams
b)
14 teams
c)
21 teams
d)
42 teams
14.
As 100 students entered the auditorium some were given a prize.  If every 6th student received a pencil and every 9th student received a notebook. How many participants received both a pencil and a notebook?
a)
3 students
b)
18 students
c)
5 students
d)
54 students
15.
Ralph and his brother are at the state fair. They separate from each other at the ferris wheel at 1:00 PM, and they agree that they will meet back at the ferris wheel from time to time to see whether each other is ready to leave. Ralph checks the ferris wheel every 15 minutes, and Joe checks the ferris wheel every 24 minutes. At what time will they meet at the ferris wheel again?
a)
120 Minutes
b)
3 Minutes
c)
1:20PM
d)
3:00 PM
16.
Mrs. McCoy makes flower arrangements. She has 36 red carnations, 60 white carnations, and 72 pink carnations. Each arrangement must have the same number of each color. What is the greatest number of arrangements she can make if she uses every carnation?
a)
12 flowers
b)
12 arrangements
c)
1,080 arrangements
d)
6 arrangements 
17.
Juice comes in packs of 6 and granola bars come in packs of 8. If there are 24 players on the soccer team, what is the least number of packs needed so that each player has a drink and granola bar, and there are none left over?
a)
3 packs juice, 4 packs granola bars
b)
12 packs of both
c)
4 packs juice, 3 packs granola bars
18.
Vince has 12 jars of grape jam, 16 jars of strawberry jam, and 24 jars of raspberry jam. he wants to place the jam into the greatest number of boxes possible so that each box has the same number of jars of each kind of jam. How many boxes does he need?
a)
4 boxes
b)
3 boxes
c)
6 boxes
d)
12 boxes
19.
Carolyn has 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of lavender soap to make gift baskets. She wants to have the same number of each item in every basket. What is the greatest number of baskets she can make without having any of the items left over?
a)
4 baskets
b)
60 baskets
c)
6 baskets
d)
12 baskets
20.
Two faucets are dripping. One faucet drips every 4 seconds and the other faucet drips every 9 seconds. If a drop of water falls from both faucets at the same time, how many seconds will it be before you see the faucets drip at the same time?
a)
18 seconds
b)
36 seconds
c)
72 seconds
d)
1 second
21.
Find the Greatest  Common Factor (GCF) of 14 & 22.
a)
1
b)
2
c)
7
d)
14
22.
Find the Greatest Common Factor (GCF) OF 32 and 64.
a)
1
b)
2
c)
4
d)
32
23.
Find the Greatest Common Factor (GCF) OF 12,  18 & 30
a)
1
b)
3
c)
6
d)
12
24.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
25.
What is the LCM?
a)
The LCM is the least common factor that both numbers share the least. 
b)
The LCM is a multiple that both numbers share the most.  
c)
The LCM is a multiple that both numbers share the least. 
d)
The LCM is a factor that both numbers share the least. 
26.
What number could be a common denominator for these two fractions?
2/3   and   3/4
a)
3
b)
4
c)
7
d)
12
27.
What is the LCM of 16 and 24?
a)
24
b)
48
c)
8
28.
What is the prime factorization of 24?
a)
3 x 8
b)
3 x 2 x 2 x 2
c)
4 x 6
d)
2 x 2 x 3
29.
A prime number
a)
has one factor
b)
has more than 2 factors
c)
has 100 factors
d)
has exactly 2 factors: 1 and the number
30.
What is the greatest common factor of 28y2and 49y2?
a)
7y
b)
21y2
c)
196y2
d)
7y2
31.
What is the greatest common factor of 40a2b and 48ab2?
a)
240a2b2
b)
5ab
c)
8ab
d)
4ab
32.
What is the least common multiple (LCM) of 48x2and 32x3?
a)
8x2
b)
16x2
c)
16x
d)
96x3
33.
What is the greatest common factor of 40a2b and 48ab2?
a)
240a2b2
b)
5ab
c)
8ab
d)
4ab
34.
What is the greatest common factor of 40a2b and 48ab2?
a)
240a2b2
b)
5ab
c)
8ab
d)
4ab
35.
What is the least common multiple of 40a2b and 48ab2?
a)
240a2b2
b)
5ab
c)
8ab
d)
4ab
36.
Find the GCF of 3xy and 15x3y3
a)
15x3y3
b)
3x3y3
c)
45x3y3
d)
3xy
37.
Find the LCM of 3xy and 15x3y3
a)
15x3y3
b)
3x3y3
c)
45x3y3
d)
3xy
38.
Find the GCF of 9u4v2w and 5u4vw3
a)
1u4vw
b)
5u4vw
c)
45u4vw
d)
45u4v2w3
39.
Find the LCM of 9u4v2w and 5u4vw3
a)
1u4vw
b)
5u4vw
c)
45u4vw
d)
45u4v2w3
40.
Find the GCF of 5x2y and 15xy2z
a)
15x2y2z
b)
x2yz
c)
5xy
d)
15xyz
41.
Find the LCM of 5x2y and 15xy2z
a)
15x2y2z
b)
x2yz
c)
5xy
d)
15xyz
42.
Find the GCF of 6u3v3w and 30u4v2w
a)
30u3v2w
b)
180u4v3w
c)
30u4v3w
d)
6u3v2w
43.
Find the LCM of 6u3v3w and 30u4v2w
a)
30u3v2w
b)
180u4v3w
c)
30u4v3w
d)
6u3v2w
44.
Find the GCF of 7x3y and 14x4y2
a)
14x3y
b)
7x3y
c)
7x4y2
d)
14x4y2
45.
Factor:
10a4+16a+10a2
a)
2a(5a3+8+5a)
b)
2a4(5a+8a2+5a3)
c)
2a4(10+16a+40a2)
d)
3a3(5+8a+a2)
46.
Factor Completely
5x3-7x2
a)
x2(5x-7)
b)
x(5x2-7x)
c)
x3(5-7x)
d)
Prime
47.
Factor:
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
48.
Factor:
4n6+16n4-8n
a)
4n(n4+4n3-2)
b)
4n(n5+4n3-2)
c)
12n(n5+4n4-2)
d)
16n(n5+4n3-2)
49.
Factor:
80x5-70x2-60x7
a)
2x2(80x3-70-60x6)
b)
10x2(80x4-70x-60x6)
c)
10x2(8x3-7-6x6)
d)
3x2(80x3-40-60x5)
50.
Factor
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
51.
Factor:
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
52.
Factor
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
53.
Factor
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
54.
Factor
r2 -16r + 60
a)
(r - 15)(r + 4)
b)
(r - 6)(r + 10)
c)
(r - 6)(r - 10)
d)
(r +30)(r - 2)
55.
What do you call a polynomial that cannot be factored?
a)
FOIL
b)
Simplified
c)
Prime
d)
Proper
56.
Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
57.
Factor:
x2 + 6x + 20
a)
(x + 4)(x + 5)
b)
(x + 20)(x + 1)
c)
(x + 10)(x + 2)
d)
PRIME
58.
x2 - 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
59.
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4) 
c)
( x - 8) ( x + 8) 
d)
( x - 4) ( x - 4) 
60.
4x2 - 64y2
a)
Prime
b)
( 2x - 32y) (2 x + 32y) 
c)
( 2x - 8y) (2 x - 8y) 
d)
( 2x - 8y) (2 x + 8y) 
61.
x2 + 81
a)
Prime
b)
( x - 9 ) ( x + 9 ) 
c)
( x + 9 ) ( x + 9 ) 
d)
( x - 9 ) ( x - 9 ) 
62.
3x2 - 75
a)
3( x + 5 ) ( x - 5 ) 
b)
Prime
c)
( x + 5 ) ( x - 5 ) 
d)
3( x - 5 ) ( x - 5 ) 
63.
p2-64
a)
(p-8)(p+8)
b)
(p+8)(p+8)
c)
(p-8)(p-8)
64.
16x² - 81
a)
(4x + 9) (4x - 9)
b)
(2x - 9) ( 2x + 9)
65.

What is the first step to solve this equation:

- 3x -11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

66.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

67.

Solve for a:

-3a + 8 = 14

a)

a = -2

b)

a = -7.5

c)

a = 2

d)

a = 6

68.

Solve for x:

2x - 3 = 1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

69.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

70.
Solve for b:
 3(b - 4) = -3
a)
b = 3
b)
b = -3
c)
b = 5
d)
b = -5
71.

Solve for x:

7(2x - 4) = 42

a)

x = 5

b)

x = 8

c)

x = 2

d)

x = 9

72.
Solve for b:
-11 + 3(b + 5) = 7
a)
b = 1
b)
b = -1
c)
b = 3
d)
b = -3
73.

Solve for x:

2x -1(3+4x) = 11

a)

x = -4

b)

x = 7/3

c)

x = -7

d)

x = -17/8

74.

Solve for a:

-8(-4+a) + 3(2a+1) = -19

a)

a = 27

b)

a = -27

c)

a = 3.86

d)

a = 1.67

75.

Solve for k:

38 + 7k = 8(k + 4)

a)

k = 6

b)

k = 8

c)

k = -6

d)

k = 1

76.
Solve for x:
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
77.

Mrs. Sparks has been craving smoothies lately. She buys a 20oz chocolate smoothie for $7. Mrs. Jones also buys a 17oz chocolate smoothie. How much is Mrs. Jones smoothie?

a)

$5.95

b)

$6

c)

8.24

78.

Ms. Hensley's family owns a green bean farm. If Ms. Hensley can grow 225 bushels in 3 acres, how many bushels can she grow in 9.6 acres?

a)

720 bushels

b)

675 bushels

c)

75 bushels

79.

Finley and Cooper are wanting to go to Skyzone. Finley pays $53.75 for 5 hours. How much will Cooper pay for 3 hours?

a)

$32.25

b)

$89.53

c)

26.88

80.

Solve the following proportion:

ROUND YOUR ANSWER

a)

30

b)

30.03

c)

14.7

81.

Ms. Bolling really loves double chocolate chip cookies. She can buy 1 box for $21. What would her cost be for 28 boxes of cookies?

a)

$600

b)

$588

c)

$554

d)

$500

82.
a)
2
b)
12
c)
108
d)
18
83.
a)
9
b)
12
c)
18
d)
1
84.
Solve the proportion
a)
x = 3
b)
x = -3
c)
x = 1
d)
x = -1
85.
Solve for a
a)
29/12
b)
41/12
c)
107/12
d)
13
86.
Solve for w
a)
10/3
b)
50/9
c)
46/9
d)
22/3
87.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

88.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.
a)
h = 2C + 15
b)
C = 15h + 2
c)
h = 15C + 2
d)
C = 2h + 15
89.
 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
90.
Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
91.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?
a)
y = 8.5 + 25.5
b)
y = 25.5 + 8.5x
c)
y = 8.5 + 25.5x
92.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.


How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

93.
Which of the following setups would be used to find four consecutive integers?
a)
n
n+2
n+4
n+6
b)
n
2n
4n
6n
c)
n+1
n+2
n+3
n+4
d)
n
n+1
n+2
n+3
94.
The sum of two consecutive integers is 123.  What is the smallest of the two integers?
a)
60
b)
61
c)
62
d)
63
95.

Find four consecutive integers whose sum is 62.

Which equation would give you the answer?

a)

4x + 4 = 62

b)

4x + 6 = 62

c)

4x + 1 = 62

d)

x + x + x + x = 62

96.

Find four consecutive even integers whose sum is 100.

Which equation would give you the answer?

a)

4x + 12 = 100

b)

4x + 4 = 100

c)

4x + 10 = 100

d)

x + x + x + x = 100

97.

Find four consecutive integers whose sum is 226.

Which equation would give you the answer?

a)

x + 4 = 226

b)

4x + 4 = 226

c)

x + x + 6 = 226

d)

4x + 6 = 226

98.
Evaluate each expression.
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
99.
| x – 3 |= 0
a)
3
b)
-3
c)
{-3, 3}
d)
no solution
100.
∣ 2x + 9 ∣ = 15
a)
x = 3 
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
101.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
102.
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5,-1}
c)
{-5,1}
d)
No Solution
103.
Solve:
a)
{24}
b)
{-6, -8}
c)
{16, 4}
d)
{24, -24}
104.
a)
{4, -4}
b)
{9, -9}
c)
{5, -9}
d)
{13, -1}
105.
a)
{80/9, -8}
b)
{7, -3}
c)
{8, -39/4}
d)
{-11/3, 9}
106.
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5, -1}
c)
{-5, 1}
d)
No Solution
107.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
108.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
109.
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
110.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
111.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
112.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
113.

Solve the inequality. 30 + n > 50

a)
x > 50
b)
x > 80
c)
x < 30
d)
x > 20
114.
Is x = 9 a solution to the given inequality.
x > 9
a)
TRUE
b)
FALSE
115.
Is x = 12 a given solution to the inequality.
x > 5
a)
TRUE
b)
FALSE
116.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
117.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
118.
Solve:
a)
A
b)
B
c)
C
d)
D
119.
Solve:
a)
A
b)
B
c)
C
d)
D
120.
-8<2(x+4) or -3x+4>x-4
a)
No solutions
b)
x<-8 or x<2
c)
 x>-8 or x<2
d)
x<-8 and x<2
121.
0 < x + 7 < 9
a)
-7<x   and   x<2
b)
-7<x   or   x<2
c)
-7>x   and   x>2
d)
-7>x  or   x>2
122.
a)
A
b)
B
c)
C
d)
D
123.
a)
A
b)
B
c)
C
d)
D
124.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

125.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
126.
solve the following inequality 
5-(4x -5) ≤ 30
a)
x ≤ -5
b)
x < 10
c)
x ≥ -5
d)
x ≥ 10
127.
solve 5( 6 + 3r) + 7 ≥ 127
a)
r ≤ 6
b)
r ≥ 6
c)
r ≤ -6
d)
r ≥ -6
128.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
129.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
130.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
131.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
132.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
133.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
134.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
135.
What are two numbers that could be x in  x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
136.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
137.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
138.
Which graph matches the inequality
2 > p?
a)
A
b)
B
c)
C
d)
D
139.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
140.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
141.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
142.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
143.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
144.
Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.
a)
4+ 1.5m <= 7
b)
1.5m - 4 <=7
c)
1.5m - 4>= 7 
d)
1.5m + 4 >= 7
145.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
146.
Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?
a)
25 - 12x ≥ 200
b)
25 + 12x ≥ 200
c)
13x ≥ 200
d)
25 + 12x > 200
147.
Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
a)
10x + 65 ≥ 40
b)
4x + 10 ≤ 65
c)
4x - 10 ≤ 65
d)
65 + 4x ≥ 40
148.
a)
v>5 or v<-5
b)
v≥5 or v≤-5
c)
v>-5 or v<5
d)
all real numbers
149.
a)
no solution
b)
a> -1/6 or a< -5/6
c)
a>1/2 or a< -3/2
d)
all real numbers
150.
a)
no solution
b)
-6 ≤ r ≥ 8
c)
6 > r > -8
d)
-6 < r < 8
151.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
152.
a)
r > 11/4 or r < 9/4
b)
r > 5 or r ≤ 0
c)
r > 5 or r < 0
d)
r < -5 or r > 0
153.
a)
all real numbers
b)
no solution
c)
0 < v < 6⁄7
d)
0 ≤ v ≤ 6/7
154.
a)
no solution
b)
all real numbers 
c)
-2 ≤ n ≤ 16
d)
n ≤ -2 or n ≥ 16
155.
a)
No solution
b)
All real numbers
c)
-1 < a < 9/7
d)
-5/7 < a < 1
156.
When graphing the solutions to "OR" inequalities, The graph usually looks like___
a)
Two graphs pointing towards each other.
b)
Arrows that point away from each other and never cross.
c)
A line segment with an open or closed point at each end.
d)
A ray.
157.
When graphing the solutions to "AND" inequalities, The graph usually looks like___
a)
Two graphs pointing towards each other.
b)
Arrows that point away from each other and never cross.
c)
A line segment with an open or closed point at each end.
d)
A ray.
158.
What is the first step? 
a)
Get absolute value alone by subtracting 5 from both sides
b)
Get absolute value alone by dividing by 5 on both sides
c)
Split into two equations
159.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.
a)
1.75 + 0.65m < 10
b)
1.75 + 0.65m > 10
c)
1.75m + 0.65 < 10
d)
1.75m + 0.65 > 10
160.
The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?
a)
6x + 8 ≥ 42
b)
8x + 6 ≤ 42
c)
6x + 8 > 42
d)
8x + 6 < 42
161.

9+∣3n+4∣≥99+\left|3n+4\right|\ge9  

Evaluate the Absolute value inequality and input your solution as no solutions, all real numbers, or the solution interval notation.



(a)  

162.

Evaluate the Absolute value inequality and input your solution as no solutions, all real numbers, or the solution interval notation.

−∣−7x−8∣−5<−4-\left|-7x-8\right|-5<-4  



(a)  

163.

3∣−8n+9∣9+12<−2\frac{3\left|-8n+9\right|}{9}+12<-2  

Evaluate the Absolute value inequality and input your solution as no solutions, all real numbers, or the solution interval notation.



(a)  

164.

−11+5∣9+8m∣≤−16-11+5\left|9+8m\right|\le-16  

Evaluate the Absolute value inequality and input your solution as no solutions, all real numbers, or the solution interval notation.



(a)  

165.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
166.

How would you write 4.3756 x 104 in standard form?

(a)  

167.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

168.

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

(a)  

169.

How do you write 8.317 x 106 in standard form?

(a)  

170.

Which of the following numbers is written in scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

171.

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

172.

Convert to scientific notation:


520,000,000

a)

52 x 107

b)

5.2 x 10-7

c)

5.2 x 108

d)

0.52 x 109

173.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

174.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

175.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

176.

Convert this number to standard notation:


7.1 x 104

(a)  

177.

Convert this number into scientific notation:


0.068

a)

6.9 x 106

b)

6.8 x 10-9

c)

6.8 x 10-2

d)

None of the above

178.

Convert this number to standard notation:


1.4 x 10-2

(a)  

179.

Convert this number into scientific notation:


950,000

a)

9.5 x 105

b)

9.5 x 10-9

c)

9.5 x 102

d)

None of the above

180.

Which value is the greatest?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

181.

Which number is the least in value?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

182.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
183.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
184.
(9.6×103) × (6.7×102)
a)
64.32×105
b)
6.432×106
c)
64.32×106
d)
64.32×105
185.
(9.6×10-8)÷(2×10-15)
a)
-4.8×107
b)
4.8×107
c)
4.8×10-7
d)
-4.8×10-7
186.
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
187.
Divide.
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
188.

1.05×10125×104\frac{1.05\times10^{12}}{5\times10^4}  

a)

0.21×1030.21\times10^3  

b)

2.1×1072.1\times10^7  

c)

0.21×1080.21\times10^8  

d)

2.1×1092.1\times10^9  

189.
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)
3.326 x 105
b)
3.326 x 106
c)
1.99 x 1030
d)
1.99 x 106
190.

6. Rhode Island is the smallest state in the United States. Its land area is about 2.9 x 1010 square feet. Alaska, the largest state, is about 5.5 x 1020 square feet. Approximately how many times larger is Alaska than Rhode Island?

a)

5.2 x 1011

b)

5.2 x 10-11

c)

1.9 x 10-10

d)

1.9 x 1010

191.

When the question asks "how many times....." what operation should you use?

a)

multiplication

b)

division

c)

addition

d)

subtraction

192.

When the question TELLS you how many of each...... and then ASKS you to find the total what operation should you use?

a)

additon

b)

multiplication

c)

subtraction

d)

division

193.

1. The pitch of a sound is determined by the number of vibrations produced per second. The note “middle C” produces 2.62 x 102 vibrations per second. If a pianist plays middle C for 5 x 10-1 seconds, how many vibrations will occur? Which operation would you use to solve this problem?

a)

Addition

b)

Subtraction

c)

Multiply

d)

Divide

194.
Simplify:  √28
a)
7√2
b)
2√7
c)
4√7
d)
2√14
195.

Simplify completely.

a)

3v√2v

b)

3v√2v3

c)

v√18v

d)

9v√v

196.
Simplify:
a)
8x9
b)
8x3
c)
8x4√x
d)
8x3√x
197.
Simplify:
a)
5x√2
b)
100x√2
c)
10x√2
d)
10√2x
198.

Simplify the radical expression

a)
b)
c)
d)
199.

Simplify

a)
b)
c)
d)
200.

Simplify.

a)
b)
c)
d)
201.

Simplify.

a)
b)
c)
d)
202.

Simplify 25n2\sqrt{25n^2}  

a)

5nn5n\sqrt{n}  

b)

n25n^2\sqrt{5}  

c)

5n2n5n^2\sqrt{n}  

d)

5n5n  

203.
Simplify:
a)
2√12
b)
4√12
c)
4√3
d)
16√3
204.
Simplify:  √28
a)
7√2
b)
2√7
c)
4√7
d)
2√14
205.
√200
a)
14
b)
20√8
c)
5√3
d)
10√2
206.
√128
a)
64√2
b)
16
c)
2√8
d)
8√2
207.
Simplify the radical - 6√90
a)
10√8
b)
10√18
c)
18√10
d)
18√9
208.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
209.

Which of the following shows a radical expression that has been correctly simplified?

a)

72x3\sqrt{72x^3} = 6x 2x\sqrt{2x}

b)

24x4\sqrt{24x^4} = 4 x4x^4 6\sqrt{6}

c)

54x5\sqrt{54x^5} = 3 x4x^4 6x\sqrt{6x}

d)

98x6\sqrt{98x^6} = 7 x3x^3 14\sqrt{14}

210.

8−x+12=38-\sqrt{x+12}=3  

Type in just the number for your answer

(a)  

211.

x+13−8=−2\sqrt{x+13}-8=-2  

Type in just the number for your answer

(a)  

212.

Type in just the number for your answer

(a)  

213.

Type in just the number for your answer

(a)  

214.

Type in just the number for your answer

(a)  

215.

Type in just the number for your answer

(a)  

216.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

217.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

218.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
219.

The  is between which two consecutive whole numbers? 40\sqrt{40}  

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

220.

What integer is the 95\sqrt{95} closest too?

a)

10

b)

9.5

c)

9.7

d)

9

221.

Estimate 27\sqrt[]{27}  

(a)  

222.

Estimate 42\sqrt[]{42}  

(a)  

223.

Estimate 81\sqrt[]{81}  

(a)  

224.

Estimate 94\sqrt[]{94}  

(a)  

225.

Estimate 125\sqrt[]{125}  

(a)  

226.

Estimate 48\sqrt[]{48}  

(a)  

227.

Estimate 64\sqrt[]{64}  

(a)  

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