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Benchmark Review

Total questions: 109

Worksheet time: 9hrs 58mins

Name
Class
Date
1.

Which of these situations can be represented by the opposite of –25? Select all that apply.

a)

A scuba diver is 25 feet below sea level.

b)

Leon gets paid $25.

c)

An airplane descends 25 feet.

d)

Sara has a $25 debt.

e)

A bird flies 25 feet above sea level.

2.

On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday? How did the temperature change?

a)

89°F; The temperature increased 7 degrees.

b)

85°F; The temperature increased 3 degrees.

c)

79°F; The temperature decreased 3 degrees.

d)

75°F; The temperature decreased 7 degrees.

3.

Choose whether each decimal terminates or repeats.

3.232323…

a)

Repeats

b)

Terminates

4.

Choose whether each decimal terminates or repeats.

6.25

a)

Repeats

b)

Terminates

5.

What is the difference between a repeating decimal and a terminating decimal?

a)

A repeating decimal ends in repeating zeros, while a terminating decimal is always a whole number.

b)

A repeating decimal has non-zero repeating values, while a terminating decimal is always a whole number.

c)

A repeating decimal ends in repeating zeros, while a terminating decimal ends in zero.

d)

A repeating decimal has non-zero repeating values, while a terminating decimal ends in zero.

6.

Nine friends vote on their favorite fruit. Only one person in the group votes for kiwi.

Choose the decimal that is equivalent to this fraction.

a)

0.1

b)

0.11

c)

0.111111…

d)

0.212121…

7.
( -14) + (-46) =  ?
a)
-60
b)
32
c)
60
d)
45
8.
(+19) + (-37) = ?
a)
18
b)

56

c)
-18
d)
45
9.
(-82) + (+11) = ?
a)
-71
b)

95

c)
87
d)
-56
10.
6.81+(-7.11)=
a)
-0.3
b)
0.3
c)
0.5
d)
-0.6
11.
-5.61+(-3.21)=
a)
-8.11
b)
-8.82
c)
3.21
d)
5.86
12.
2.01-(-9.42)=
a)
11.43
b)
10.56
c)
-3.24
d)
15.86
13.
-3/7 + 4/5
a)
43/35
b)
-13/35
c)
-43/35
d)
13/35
14.
- 1/3 + (-1/6)
a)
-1/2
b)
-2/6
c)
1/3
d)
-2/18
15.
A recipe calls for 1/2 cup of sugar and 1/3 cup of cinnamon. What is the measure of the two ingredients combined?
a)
5/6 cup
b)
2/5 cup
c)
1/6 cup
d)
1/5 cup
16.
 A girl's hair is 12 ⅜ inches long. If she has 2 1/2 inches cut off, how long will her hair be?
a)
10 1/4 inches
b)
10 3/16 inches
c)
9 7/8 inches
d)
10 7/8 inches
17.
The price of jeans was reduced $6 per week for 7 weeks.  By how much did the price of the jeans change over the 7 weeks?
a)
42
b)
-42
c)
20
d)
-20
18.
If I have a negative multiplied with a positive, what will the answer be?
a)
Positive 
b)
Negative 
19.
If I have a positive multiplied with a positive, what will the answer be?
a)
Positive 
b)
Negative 
20.
-15 ÷ 3
a)
-12
b)
-5
c)
-18
d)
5
21.
-24 ÷ (-8)
a)
32
b)
-3
c)
-16
d)
3
22.
22 ÷ (-2)
a)
20
b)
11
c)
-11
d)
-24
23.
1/2 x 5/8 
a)
3/4
b)
6/8
c)
5/16
d)
5/8
24.
1 2/10 x 5
a)
6
b)
5 2/10
c)
7
d)
6 1/5
25.
9/10 ÷ ⅖
a)
1 ½
b)
2 ¼
c)
18/50
d)
9/25
26.
3/10 ÷ ⅘
a)
8/3
b)
4/5 
c)
3/8
d)
5/4
27.
Ty entered the elevator on the 10th floor. He rode up 3 floors, down 7 floors, up 2 floors, down 5 floors and up 6 floors, where he got off. On what floor did Ty get off the elevator?
a)
6th floor
b)
7th floor
c)
8th floor
d)
9th floor
28.
A submarine is 150 below sea level while an airplane is 375 above sea level.  What is the difference between the height of the submarine and the airplane?
a)
-525
b)
525
c)
325
d)
-325
29.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
30.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
31.
a)
12 yds
b)
6 yds
c)
16 yds
d)
9 yds
32.
a)
8
b)
2
c)
128
d)
4
33.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
34.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
35.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
36.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
37.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
38.
About 13 out of 20 homes have a personal computer.  On a street with 60 homes, how many would you expect to have a personal computer?
a)
7 homes
b)
39 homes
c)
73 homes 
d)
40 homes
39.
A 6-ounce package of fruit snacks contains 45 pieces.  How many pieces would you expect in a 10-ounce package?
a)
25 pieces
b)
35 pieces
c)
75 pieces
d)
70 pieces
40.
10 % of what number is 8?
a)
50
b)
74
c)
80
d)
71
41.
34% of what number is 51?
a)
69
b)
71
c)
151
d)
196
42.
Calculate 25% of 80
a)
20
b)
80
c)
48
d)
95
43.
What number is 20% of 102?
a)
204
b)
122.4
c)
20.4
d)
20
44.
What percent of 50 is 20?
a)
40%
b)
25%
c)
2.5%
d)
4%
45.
In San Diego, the weather was sunny 83% of the days this past June. How many days was it sunny? June has 30 days. Round your answer!
a)
22
b)
23
c)
25
d)
26
46.
Last year, 2,376 people attended a summer music festival. This year, attendance was 2,950. What was the percent of change in attendance to the nearest whole percent?
a)
Increase 24%
b)
Increase 19%
c)
Decrease 24%
d)
Decrease 19%
47.
Mrs.Mroc has 35 students in her science class.If her class increases to 42 students next year, what will be the percent of change?
a)
20%
b)
75%
c)
93%
d)
33%
48.
The Polar Express movie is $12 and it will be on sale for $8.What is the percent of change if the cost decreased $4?
a)
15%
b)
33%
c)
10%
d)
32%
49.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
50.
Let "p" represent the number of paper clips in a box.  If there are 76 boxes in a case, write an algebraic expression to show the total number of paper clips.
a)
125p
b)
76(p)
c)
76 + p
d)
125 = p
51.

Select all that apply:


I bought m gallons of milk for $3.59 each and a carton of eggs for $2.24. Write an expression for how much money I spent.

a)

3.59m + 2.24

b)

m + 3.59 + 2.24

c)

5.83m

d)

3.59m + 2.24(12)

52.
Write an expression 5 less than a plus k
a)
a - 5 + k
b)
5 - a + k
c)
k - a + 5
d)
5a + k
53.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
54.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
55.
Simplify the following expression:
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
56.
Expand and Simplify
4(2t - 5)
a)
8t - 20
b)
8t - 5
c)
6t - 20
d)
6t - 9
57.
Expand and Simplify
6(2x + 1) + 3
a)
12x + 9
b)
12x + 4
c)
12x + 6
d)
12x + 3
58.
Factor Completely:
35c - 15d
a)
5(7c + 3d)
b)
5(7d - 3c)
c)
5(7c - 3d)
59.
Factor Completely:
24+16q
a)
4(7+4q)
b)
8(3+2q)
c)
4(6q+2)
d)
24(24-16q)
60.

5 - 3y + j - 8

Which is/are constants?

a)

3, j

b)

5, 8

c)

3y, 5, j, 8

d)

y, j

61.
2z + 5 - 8p + n
Which are the coefficients? 
a)
2,8
b)
2, 8, 5
c)
n
d)
2, 8, 1
62.
What are the constants?
4 - 6y - 3 + 7
a)
4, 3, 7
b)
6y
c)
6, 3, 7
d)
4,6, 3
63.
Find the difference:
(8 - u) - (5u + 1)
a)
6u + 7 
b)
-4u + 7
c)
-6u + 7
d)
4u - 7
64.
Find the difference: 
2(x - 2) - 3(x - 4)
a)
-x - 8
b)
x + 8
c)
5x + 8
d)
-x + 8
65.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
66.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
67.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
68.
y/-5 = 20
a)
y = 100
b)
y = -4
c)
y = -100
d)
y = -15
69.
The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.
a)
25x=125,
x = 5 feet
b)
x+22=125,
x = 20 feet
c)
x-25=125
x=150 feet
d)
25x=125
x=3,125 feet
70.
Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
a)
j - 3 = 12
b)
s - 3 = 12
c)
s + 3 = 12
d)
j + 12 = 3
71.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
72.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
73.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
74.
3 + (1∕4)a = 31
a)
a= 28
b)
a= 112
c)
a= 7
d)
a= 67
75.
Simplify   6(x - 2)
a)
6x - 2
b)
6x - 12
c)
4x
d)
6x - 4
76.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
77.
Solve:
2x - 5 < 1 
a)
x>3
b)
x<3
c)
x<12
d)
x<6
78.
Solve:
3x-2>10
a)
x>4
b)
x<6
c)
x≥4
d)
x>3.5
79.
2x + 3 ≤ 15
a)
x ≤ 6
b)
x ≥ -6
c)
 x ≤ 9
d)
x≤ -9
80.
Solve for c
-(7c - 18) - 2c > 0
a)
c < 2
b)
c ≤ 6
c)
c > 2 
d)
c ≥ 5.5
81.
Solve for j
-3(j + 3) + 9j < -15
a)
j > -1
b)
j < 1
c)
j ≥ 0
d)
j < -1
82.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
83.
What is the range in gas mileage for SUVs?
a)
2
b)
3
c)
4
d)
6
84.
Is the Cars dot plot skewed left or right?
a)
left
b)
right
85.
Which car club attends more car shows?
a)
Cruisers
b)
Car Hops
86.
Which car club has the higher median?
a)
Cruisers
b)
Car Hops
87.
What is the IQR of the Cruisers?
a)
4
b)
6
88.
Which club has the smaller spread?
a)
Cruisers
b)
Car Hops
89.
50% of the Car Hops went to 11 or fewer car shows.  True or False?
a)
True
b)
False
90.
75% of the Cruisers went to more than 13 car shows.  True or False?
a)
True
b)
False
91.
What is the mode?
a)
88%
b)
89%
c)
97%
d)
91%
92.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
93.
What is the shape of the data for Lucy's Steakhouse?
a)
Symmetrical
b)
Skewed Left
c)
Skewed Right
94.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

95.
What is the probability of spinning a prime number? 
a)
1/2
b)
2/3
c)
1/6
d)
0
96.
Find the probability of rolling greater than a 1 on a single die.
a)
6/6
b)
5/6
c)
4/6
d)
1/6
97.
Find the probability of not rolling a 2 on a single die.
a)
1/6
b)
2/6
c)
5/6
d)
2
98.
Find the probability of rolling a 7 on a single die.
a)
1/6
b)
7/6
c)
0
d)
7/7
99.
Determine whether the event is impossible, unlikely, as likely as not, likely, or certain. You flip a fair coin and the coin will land heads up.
a)
impossible
b)
unlikely
c)
as likely as not
d)
likely
100.
What is the likelihood of selecting a "razzle dazzle" colored crayon?
a)
unlikely
b)
as likely as not likely
c)
likely
d)
certain
101.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
102.
What is the probability of spinning red?
a)
0
b)
1/2
c)
3/4
d)
1
103.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
104.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
105.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
106.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
4/13
c)
8/25
d)
1/3
107.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
108.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a "M"?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
109.
What is the probability of flipping a coin and getting tails?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.