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MILESTONES REVIEW COMPREHENSIVE

Total questions: 115

Worksheet time: 6hrs 22mins

Name
Class
Date
1.

The band boosters sell a number of items in the concession stand in order to raise funds for the band. The chart shows some of the items sold in Year 2011 and Year 2012. Describe as an integer the change in the number of hotdogs sold between Year 2011 and 2012. *Click on the table to see larger*

a)

5,000

b)

-100

c)

200

d)

-200

2.

Use >, <, or = to compare the following integers: −|−79| ____ −|79|

a)

>

b)

<

c)

=

d)

none of these

3.

The weather channel recorded temperatures in the following cities:

Fargo, ND −33°

Hibbing, MN −19°

Bozeman, MO −21°

Wasilla, AL −14°

Which of the following orders the cities with temperatures from coldest to warmest?

a)

Wasilla, Hibbing, Fargo, Bozeman

b)

Fargo, Wasilla, Bozeman, Hibbing

c)

Wasilla, Hibbing, Bozeman, Fargo

d)

Fargo, Bozeman, Hibbing, Wasilla

4.

Find the absolute value of the following: |−25|

a)

-25

b)

-5

c)

5

d)

25

5.
What equation is modeled?
a)
6 + -6 = -6
b)
-6 + 6 = 12
c)
6 + -12 = -6
d)
-12 + 6 = -6
6.
When you add opposites, what do you get?
a)
0
b)
A negative number
c)
Attraction
d)
You cannot add opposites
7.
Which problem does not have a sum of (-4)?
a)
(-9) + (-5)
b)
3 + (-7)
c)
(-9) + 5 
d)
(-3) + (-1)
8.
On the first play of a game, a running back gained 7 yards. On the next play, he lost 19 yards. Find the change in yards in the two plays. 
a)
26 yards
b)
-26 yards
c)
12 yards
d)
-12 yards
9.
What equation is modeled?
a)
15 + 25 = -10
b)
15 + -25 = -10
c)
-10 + 15 = -10
d)
-25 + 15 = -10
10.
On his road trip, Eric was able to drive 602 miles on his motorcycle before being completely empty.  He averaged 43 miles per gallon.  How many gallons does the gas tank on his motorcycle hold?
a)
25,886 gallons
b)
1.4 gallons
c)
559 gallons
d)
14 gallons
11.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
12.
Identify the variables in the expression
3x +  9
a)
x
b)
y
c)
9
d)
3x
13.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
14.

What would 5a + 4b - 3a be simplified?

a)

9ab - 3a

b)

2a + 4b

c)

-8a + 4b

15.
Simplify the expression:   
5(2 - 7n)
a)
 52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
16.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
17.
Which expression represents the perimeter?
a)
3x + 3
b)
4x + 3
c)
4x + 6
d)
6x + 6
18.
Which expression represents the perimeter?
a)
14 + 2x
b)
4x + 6
c)
2x + 7
d)
14 + 4x
19.
Which expression represents the perimeter of the triangle?
a)
8xy + 3
b)
5x + y + 3
c)
5x + 4y + 3
d)
6x + 3y + 3
20.

Write an expression to represent the perimeter of the figure. Remember, to find the perimeter, add all sides together. For rectangles, opposite sides are the same.

a)


6x−26x-2

b)

(x+2)(2x−3)\left(x+2\right)\left(2x-3\right)

c)

3x−13x-1

d)

2x−62x-6

21.

Which expression represents the perimeter of the hexagon?

a)

2w + 5 + 4w - 2

b)

5w + 8

c)

6w + 2

d)

6w - 5

22.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
23.
-2x-7+3x=10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
24.

There were 331 students that went on a field trip. Six buses were filled and 7 students traveled in a van. How many students were on each bus?

a)

6 + 7x = 331

b)

331 - 6x = 7

c)

6x + 7 = 331

d)

6x + 7y =331

25.

Tom bought a soft drink for $4.00 and 7 candy bars. He spent a total of $18.00. How much did each candy bar cost?

a)

4x + 7 = 18

b)

7x + 4 = 18

c)

18x + 4 = 7

d)

4x + 18 = 7

26.
Two-thirds of a number, h, is equal to 15.
a)
⅔ ÷ h = 15
b)
h − ⅔ = 15
c)
⅔h = 15
d)
⅔ + h = 15
27.
12 times a number, y, is 56.
a)
12 + y = 56
b)
12y = 56
c)
12 - y = 56
d)
12 ÷ y = 56
28.

Three less than 8 times a number

a)

3 - 8x

b)

8x - 3

c)

3x + 8x

d)

(3 + 8)x

29.

The product of a number and 7 is 42.

a)

7 + n = 42

b)

7/n = 42

c)

42 - 7 = n

d)

7n = 42

30.
5(x - 3) + 2x = 27
a)
x = 5
b)
x = -5
c)
x = 6
d)
x = -6
31.
10 is 25% of what number?
a)
40
b)
100
c)
50
d)
75
32.
Country music make up 75% of Landon's music library.  If he has downloaded 90 country music songs, how many songs does Landon have in his music library?
a)
75
b)
90
c)
120
d)
180
33.
Find the total cost. $50 item; $10 coupon off; 10% sales tax
a)
$ 45
b)
$10
c)
$ 44
d)
$55
34.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket?  (Hint- you're finding the sale price)
a)
75
b)
51
c)
36
d)
34
35.

Find the total cost.  $20 meal; 9% sales tax; 20% gratuity

a)
$ 1.80
b)
$ 4.00
c)

$25.80

36.
How much would a new iPhone 7 cost total if it's $649.00 and there's a 7% tax rate?
a)
$45.43
b)
$649.07
c)
$603.57
d)
$694.43
37.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
38.
From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.
a)
300 miles
b)
1000 miles
c)
900 miles
d)
600 miles
39.
The distance from Point A to Point B on a scale drawing is 6 cm. If the scale is 1cm : 10m. What is the actual distance from A to B?
a)
6 m
b)
10 m
c)
18 m
d)
60 m
40.
Is the given table a proportional relationship? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
41.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
42.
What makes a graph proportional?
a)
Straight line
b)
The line goes through the origin
c)
Curvy line
d)
Straight line and the line goes through the origin
43.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
44.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
45.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

46.

Which equation is NOT proportional?

a)

y = 2x - 3

b)

y = 150x

c)

y = 1/2x

47.

Is the graph proportional or non proportional?

a)

Yes

b)

No

48.
Which of the tables above represents a proportional relationship?
a)
a & c
b)
a, b & c
c)
a, c & d
d)
all of them
49.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

50.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

51.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

52.

What is the slope of this line?

a)

Positve

b)

Negative

c)

Zero

d)

Undefined

53.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

54.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
55.

Which graph has an undefined slope?

a)
b)
c)
d)
56.

What is the constant of proportionality?

a)

$3

b)

No COP

c)

$2

d)

$9

57.
Is this table proportional?
a)
Yes
b)
No
58.

A survey about alarm types was taken in a town with 4,216 residents. The results are shown in the table. Use these results to estimate the number of residents who have a window alarm.

a)

1,223

b)

1,454

c)

688

d)

1,688

59.

A survey of 50 students in the high school revealed that 15 are interested in joining the soccer team.


If the high school has 300 students total, use the survey results to predict how many would be interested in joining the soccer team.

a)

90

b)

21

c)

150

d)

255

60.

A Target survey found that 4 out of 5 customers who entered the store made a purchase. If this store recorded 22,853 purchases last week, estimate the number of customers who entered the store.

a)

28,566

b)

18,282

c)

50,784

d)

10,284

61.

Integration: Consider the dot plot shown. It shows the results of a survey taken in a town with 700 residents. Estimate the number of residents who took five minutes or less to eat breakfast.

a)

403

b)

122

c)

575

d)

315

62.

Review: Consider the box-and-whiskers plot shown. Which of the following is a good estimate for the Interquartile Range (IQR)?

a)

15

b)

93

c)

85

d)

78

63.

Review: Each section of a box-and-whiskers plot contains about _______ of the data.

a)

25%

b)

33%

c)

50%

d)

10%

64.
The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser. Which plot has an outlier? 
a)
Girls
b)
Boys
c)
Both Plots
d)
Neither
65.
What is the interquartile range for the Checkers Club?
a)
4
b)
5
c)
10
d)
11
66.
Which data set shows a greater spread?
a)
Chess Club
b)
Checkers Club
c)
They have the same spread.
d)
You cannot tell from the box plots. 
67.
Find the medians.
Science: _________ Math: __________ 
a)
 science: 4.5 h; math: 3 h
b)
 science: 3 h; math: 4.5 h
c)
 science: 5 h; math: 5 h
d)
 science: 3.5 h; math: 4 h
68.
What is the range in gas mileage for cars?
a)
2
b)
3
c)
4
d)
6
69.
Are these dot plots symmetric?
a)
Yes
b)
No
70.
Which class has the higher test score median? 
a)
Class #1
b)
Class # 2 
c)
The medians are equal
d)
The median is not shown here. 
71.
Which class was more consistent in their Algebra Scores?
a)
Class #2
b)
Class #1
c)
Both classes had the same consistency.
d)
50%
72.
Mrs. Rosenblatt's class has an average grade of 87. Later on she realizes she left out Joe's score. His grade was a 65. The new mean will ,....
a)
increase
b)
decrease
c)
stay the same
73.
The part of the population being studied
a)
population
b)
sample
c)
random
74.
_______ is the entire group of objects or individuals considered for a survey.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
75.

What information does a tree diagram provide?

a)

Average Results

b)

Consistency Correlations

c)

Directional Distribution Counts

d)

Possible Outcomes

76.

A native flowering plant has several varieties. The color of the flower can be red, yellow, or white. The stems can be long or short and the leaves can be thorny, smooth, or velvety. How many variations can there be?

a)

8

b)

18

c)

21

d)

27

77.

In Billy's sock drawer, he has loose socks of three colors (red, white and brown). If he reaches in twice, what is the total possible of combinations he could grab?

a)

3

b)

6

c)

9

d)

12

78.

During snack time, the students were offered their choice of either white or chocolate milk, and either chocolate chip or oatmeal cookies. How many variations were possible?

a)

1

b)

2

c)

4

d)

6

79.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
80.
Find the measure of the indicated angle. 
a)
34
b)
46
c)
62
d)
36
81.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
82.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Linear Pair
d)
Vertical
83.
Find x if the angles are complementary.
a)
15
b)
75
c)
25
d)
90
84.
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.
85.
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
86.
<1 and <3 are called ________ angles.
a)
complementary 
b)
supplementary
c)
vertical
d)
adjacent
87.

What is the value of x in the figure?

a)

18

b)

34

c)

20

d)

22

88.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
89.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
90.

Does a triangle with these side lengths exist?

15, 12, 9

a)

Yes

b)

No

c)

I don't know.

d)

Cannot be determined

91.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

c)

I don't know

d)

Cannot be determined

92.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
93.
What is the area?
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
94.
The arrow shown is on a sign. What is the area of the arrow?
a)
17 in2
b)
40 in2
c)
52 in2
d)
61 in2
95.
a)
15 cubic feet
b)
60 cubic feet
c)
120 cubic feet
d)
144 cubic feet
96.

Mr. Rosburg plans to fill his gas tank after school today. If 1 gallon of gas fills 231 in3, how many gallons will it take to fill his tank?

a)

2 gallons

b)

5 gallons

c)

15 gallons

d)

6 gallons

97.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
98.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
99.
Greater than
a)
<
b)
>
c)
≤
d)
≥
100.
Less Than
a)
<
b)
>
c)
≤
d)
≥
101.
Less than or equal to
a)
<
b)
>
c)
≤
d)
≥
102.
Greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
103.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
104.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
105.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
106.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

107.
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
108.
a)

F

b)

G

c)

H

d)

J

109.
a)
15760
b)
17560
c)
16760
d)
16660
110.

Kyleigh saw 10 blue, 8 red, and 42 white cars drive by her house in 1 hour. What is the experimental probability that the next car the drives by her house will not be a white car?

a)

.5

b)

.6

c)

.3

d)

.7

111.

Brooke has a box of crayons. 45 are yellow, 12 are green, 25 are blue, and 7 are red. If Brooke selects a crayon at random, which color crayon would she be most likely to select?

a)

yellow

b)

green

c)

blue

d)

red

112.

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?

P(pizza or steak)

a)

20%

b)

65%

c)

50%

d)

35%

113.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
114.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
115.
What is sample space?
a)
All of the Outcomes
b)
What Will Happen
c)
What Can Happen
d)
What I want to Happen

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