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Comprehensive Review

Total questions: 100

Worksheet time: 8hrs 20mins

Name
Class
Date
1.

The scale factor of a model plane to the actual plane is 1 inch : 48 inches. If the wing span of the model is 8 inches, what is the wingspan of the actual plane?

(a)  

2.

There are 13 red beads, 15 green beads, 8 purple beads, and 14 orange beads in a jar. What is the probability of picking a green bead?

a)

15 out of 35

b)

30%

c)

13\frac{1}{3}  

d)

15%

3.

Which of the following are equivalent to −(−45)-\left(\frac{-4}{5}\right)  ?

a)

−4−5\frac{-4}{-5}  

b)

4−5\frac{4}{-5}  

c)

45\frac{4}{5}  

d)

−45\frac{-4}{5}  

e)

−(−4−5)-\left(\frac{-4}{-5}\right)  

4.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
5.

Simplify the expression −415⋅(−117÷22)-4\frac{1}{5}\cdot\left(\frac{-11}{7}\div22\right)  .

Give your answer as an integer or decimal value.

(a)  

6.

You have a standard number cube labeled 1-6 and a fair coin. What is the probability of rolling an even number and flipping heads?

a)

12\frac{1}{2}  

b)

1.4

c)

14\frac{1}{4}  

d)

0

7.
Convert to a decimal 15/20
a)
.90
b)
.65
c)
.70
d)
.75
8.

On a pizza, you can pick one type of cheese and one topping.

For types of cheese, you can choose from 2 cheeses: mozzarella or cheddar.

For toppings, you can choose from the following 4: pepperoni, olives, sausage or mushroom.

Which of the following gives a complete sample space?

a)

MP, MO, MS, MM, CO, PM, OM, SM

b)

MP, MO, CP, CO

c)

MC, MP, MO, MS, MM, CP, CO, CS, SM

d)

MP, MO, MS, MM, CP, CO, CS, CM

9.

A random sample of 250 students showed that 85 of them prefer Coke. If the school has a total of 1000 students, about how many can be expected to prefer Coke?

(a)  

10.

What is the value of the following expression:

6.25 − (−3.75)−8(12÷(−2))6.25\ -\ \left(-3.75\right)-8\left(12\div\left(-2\right)\right)  

(a)  

11.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
12.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
13.

Find the area of the circle. (use 3.14 for π\pi ) 

a)

43.96

b)

153.86

c)

87.82

d)

307.72

14.

A group of bikers rode from Little Rock to Memphis. They traveled the 137.2 miles in 2 hours. What equation represents their average speed in miles per hour?

a)

h = 274.4m

b)

h = 137.220mh\ =\ \frac{137.2}{20}m  

c)

h = 2m

d)

h = 68.6m

15.

A journalist can type 45\frac{4}{5}  page of an article in 0.4 hours. What is the journalists typing speed in pages per hour?

a)

2 pages per hour

b)

0.8 pages per hour

c)

0.5 pages per hour

d)

1 page per hour

16.
What is the value of "a"?
a)
75°
b)
65°
c)
55°
d)
85°
17.
What is the value of "x"?
a)
20
b)
30
c)
25
d)
15
18.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

19.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

20.
What is the circumference of a circle with a diameter of 10 meters?
a)
5 meters
b)
15.7 meters
c)
3.14 meters
d)
31.4 meters
21.

Marcia earns $125 each week babysitting. She plans to save 15% each week for 4 weeks. She also plans to save 2/5 of her pay on the 5th week. How much money will she have saved at the end of 5 weeks?

(a)  

22.

You are wanting to find out the most popular sport among the 7th grade students at TMS. Which of the following would be a good method of sampling?

a)

asking the boys and girls soccer teams

b)

asking 5 students from each of the 7th grade math classes during 4th period

c)

asking the members of the science bowl team

d)

asking the 7th grade ELA teachers

23.

Which of the following is an unlikely situation?

a)

Rolling a number less than 1 on a 12 sided solid labeled 1-12

b)

Flipping a coin and it landing on tails

c)

Rolling a 2 or 3 on a standard number cube labeled 1-6

d)

Flipping a coin and it either landing on heads or tails

24.

Determine if the table represents a proportional relationship. If so, give the constant of proportionality.

a)

Yes and the COP is 2

b)

Yes and the COP is 1

c)

No because their is no COP

25.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
26.

Which expression is represented on the number line?

a)

-7 + 5

b)

7 + 5

c)

-7 + (-2)

d)

7 + (-2)

27.
Which plot has a larger interquartile range?
a)
Top plot
b)
Bottom plot
28.
Which inference about the two populations is true
a)
Both sets of data have the same interquartile range
b)
Both sets of data have the same median
c)
Ander's data centers areound 6 and Marcus's data centers around 7
d)
The interquartile range for Ander's data is .5 greater than the interquartile range for Marcus's data
29.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
30.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
31.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
32.
What is the sum of interior angles of a triangle?
a)
60 degrees
b)
90 degrees
c)
180 degrees
d)
360 degrees
33.

Which of the following could be angle measures for a triangle?

A 120°, 50°, 20°

B 100°, 200°, 60°

C 30°, 50°, 80°

D 40°, 50°, 90°

a)

A

b)

B

c)

C

d)

D

34.

Find x

a)

40 degrees

b)

21 degrees

c)

42 degrees

d)

39 degrees

35.

Which Angle measurements does NOT create a Triangle?

a)

60,60,60

b)

90,45,45

c)

50,60,40

d)

50,100,30

36.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
37.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
38.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
39.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
40.

You are flying in a helicopter 150 feet above sea level. You look down and see a shark swimming 15 feet below the surface of the water. How far away are you from the shark?

a)

-135 feet

b)

165 feet

c)

135 feet

41.

After lunch, the hiker hiked back down the trail from the point of elevation, which is 580 feet above sea level, to the beginning of the trail, which is 200 feet below sea level.


What is the vertical distance between 580 feet above sea level and 200 feet below sea level?

a)

780 feet

b)

-780 feet

c)

580 feet

d)

-580 feet

42.
a)

-31

b)

31

c)

0

d)

-19

43.

Integers are (best definition)

a)

all positive numbers only.

b)

all positive and negative numbers

c)

all positive and negative numbers including 0

d)

all positive and negative whole numbers including 0

44.
Which of these terms is NOT an example of a negative number?
a)
credit
b)
below zero
c)
withdraw
d)
owe
45.
What is (0,0) called?
a)
The center
b)
The X axis
c)
The Origin
d)
The Y axis
46.

What is the opposite of -10?

a)

−∣10∣-\left|10\right|

b)

5

c)

10

d)

-5

47.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
48.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
49.
Simplify the expression:   
5(2 - 7n)
a)
 52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
50.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
51.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
52.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
53.
A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?
a)
c = 3.00 - 0.15m
b)
c = 0.15 + 3.00m
c)
3.00 = c + 0.15
d)
c = 3.00 + 0.15m
54.

What equation can express the perimeter of this parallelogram?

a)

4x = 92

b)

5x = 92

c)

7x = 92

d)

8x = 92

55.

The perimeter of the triangle below is 66 inches. What is the value of x?

a)

6 inches

b)

15 inches

c)

60 inches

d)

6.5 inches

56.
What is the additive inverse of 8?
a)
8
b)
0
c)
-0
d)
-8
57.
At 2pm, the temperature was 15 degrees. By midnight, the temperature dropped by 30 degrees. What is the temperature at midnight?
a)
45 degrees
b)
-45 degrees
c)
15 degrees
d)
-15 degrees
58.
a)

-13

b)

13

59.

What does absolute value mean? Choose ALL that are correct.

a)

The number itself

b)

The number needed to make zero when you add

c)

A number's distance from zero

d)

The opposite of a number

60.
In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?
HINT: Find the difference.
a)
16¾ inches
b)
6½ inches
c)
6¼ inches
61.
9 out of 12 students came to the football game. What % attended?
a)
25%
b)
50%
c)
75%
d)
65%
62.
A fraction is which type of number?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
63.
Which of the following are sets of integers?
a)
       5.5, -7.9, 0, 18
b)
       5, -10, 0, 23, -19
c)
2 1/3, 19, -3.79, -5.5, 3 1/4 
64.
Classify the Number: -23
a)
Rational
b)
rational, integer
c)
integer
d)
rational, whole
65.
-3.5 is an integer
a)
True
b)
False
66.
a)
150
b)
200
c)
300
d)
600
67.

It takes a turtle 3 ¼ hours to walk 1 ½ miles. How many hours does it take to walk 6 mile?

a)

4 7/8 hours

b)

13 hours

c)

2 1/6 hours

d)

8/39 hours

68.
What is the total cost with sales tax?
Price $17.95
Tax 6%
a)
$19.03
b)
$18.50
c)
$1.08
d)
$2.15
69.
Alicia went to the local farmer's market to buy some fresh produce. She bought carrots for 35% off the original price of $7.40. How much did Alicia pay for the carrots?
a)
4.81
b)
2.59
c)
9.99
d)
3.50
70.

Wilson Green sells home security systems. He earns an 11 percent commission on every system he sells. Wilson’s sales for this month totaled $4265. What is Wilson’s commission?

a)

$18,750

b)

$46,915

c)

$4,691.50

d)

$387.72

71.
_______ is a part of a group being surveyed.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
72.
_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
73.
_______ is the entire group of objects or individuals considered for a survey.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
74.
A school surveys all 7th grade boys to determine what to sell in the school store.  This sample is _________.
a)
Biased
b)
Unbiased
c)
Representative
d)
Peanut butter cups
75.
A student wants to know which type of pizza the students at his high school prefer. Which option would give a unbiased, representative sample:
a)
Asking all the students in the hot lunch line.
b)
Asking 10 random students from each homeroom.
c)
Asking every other student who gets off a school bus.
d)
Asking all the 10th graders.
76.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
77.
Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4
a)
9
b)
5
c)
3
d)
7
78.
Find the median:
5, 6, 3, 9, 0, 4, 1, 2, 7
a)
4
b)
4.1
c)
5
d)
4.5
79.

The table shows the points earned by contestants in a competition. Find the range and the interquartile range of the points.

a)

Range: 15; IQR: 13

b)

Range: 15; IQR: 12

c)

Range: 15; IQR: 11

d)

Range: 15; IQR: 10

80.

How do you find the range of a set of numbers?

a)

Subtract the largest number from the smallest number

b)

It is the number that occurs most often

c)

Add all the numbers and divide by how many numbers there are

d)

Subtract the smallest number from the largest number

81.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
82.
A bag has 3 red, 5 blue, and 2 yellow pieces of candy. What is the probability of  drawing a blue piece of candy?
a)
1/2
b)
1/10
c)
3/10
d)
1/3
83.
If I flip a coin 10 times, how many times should I get heads?
a)
1
b)
10
c)
3
d)
5
84.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
85.
What is the area of a circle?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
86.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
87.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
88.
find the area of the circle with radius 3 cm below.
a)
100 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
89.

What is the circumference?

a)

36

b)

115.45

c)

108

d)

113.04

90.

The diagram below shows the radius of the circular opening of a bowl. What is the approximate circumference of the opening in centimeters?

a)

29.83

b)

9.5

c)

59.66

91.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

a)

63.585 ft2

b)

68.345 ft2

c)

64.585 ft2

d)

61.345 ft2

92.
A garden has 10 tulips, 4 rose bushes and 6 sunflowers. What percent of the garden is tulips? 
a)
10%
b)
20%
c)
100%
d)
50%
93.
Convert 6% to a decimal
a)
.06
b)
.6
c)
6.0
d)
60
94.
What is 150% of $20? 
a)
$20
b)
$30
c)
$40
d)
$150
95.
A store discounted a the new iPhone by 10%. If the original price was $630, how much was the discount? (How much was taken off the original price?)
a)
$0.63
b)
$6.30
c)
$63
d)
$693
96.
200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?
a)
800
b)
180
c)
80
d)
120
97.
Find the percent change.
Original amount:  10
New amount: 12
a)
20%
b)
12%
c)
15%
d)
50%
98.
The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?
a)
16.67%
b)
20%
c)
2500%
d)
80%
99.
What would result from slicing a rectangular pyramid perpendicular to the base?
a)
Circle
b)
Square
c)
Rectangle
d)
Triangle
100.
What is the surface area of this figure?
a)
200 in 2
b)
800 in 2
c)
400 in 2
d)
100 in 2

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