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Math 7 Final Exam

Total questions: 150

Worksheet time: 5hrs 10mins

Name
Class
Date
1.
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
2.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
3.
REVIEW QUESTION
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
4.

A unit rate is

a)

a rate that is simplified so that it has a denominator of 1 unit.

b)

a rate that has a 1 in the numerator.

c)

proportional relationship.

d)

a cute little rate that is fuzzy and cuddly.

5.

Find the unit rate: 750 yards in 25 minutes.

a)

12 yards per minute

b)

25 yards per minute

c)

75 yards per minute

d)

30 yards per minute

6.

Find the unit rate: $6 for 2 burritos

a)

$2 for 1 burrito

b)

$6 for 1 burrito

c)

$0.50 for 1 burrito

d)

$3 for 1 burrito

7.

9 is 45% of what number?

(a)  

8.

What percent of 60 is 12?

(a)  

9.

Find 72% of 325.

(a)  

10.

Find the percent of change from 10 inches to 14 inches.

(a)  

11.

Find the percent of change from 48 to 36.

(a)  

12.

Subtract.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

13.

Add.

(-12) + 7

a)

5

b)

-5

c)

19

d)

-19

14.

Add.

-45 + 9

a)

-54

b)

-55

c)

-36

d)

54

15.

Add.

(-1) + (-46) + 10

a)

57

b)

-57

c)

-37

d)

37

16.

Subtract.

40 - (-7) =

a)

33

b)

-33

c)

47

d)

-47

17.

Add.

-32 + 12 =

a)

44

b)

20

c)

-44

d)

-20

18.

Multiply

5(-5) =

a)

10

b)

25

c)

-10

d)

-25

19.

Multiply and Add.

5(-2) + (-10) =

a)

0

b)

62

c)

-20

d)

20

20.

Divide: 44/-4=

a)

11

b)

-8

c)

-11

d)

-1/11

21.

Multiply.

-5( -7)

a)

35

b)

-35

c)

-12

d)

12

22.

Multiply.

(-7)(6)

a)

-13

b)

-48

c)

42

d)

-42

23.
-72 divided by -8
a)
-9
b)
9
c)
6
d)
-12
24.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
25.
Evaluate the expression.
|–5 + 1|
a)
4
b)
-4
c)
-6
d)
6
26.
The lowest temperature on Thursday was -20o C.  The lowest temperature on Saturday was -12o C.  What was the difference between the lowest temperatures?  
a)
13o C
b)
32o C
c)
8o C
d)
9o C
27.
The temperature dropped 3 degrees every hour for six hours.  How much did the temperature drop in all?
a)
-18
b)
9
c)
18
d)
-9
28.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
a)
-7°F
b)
-21°F
c)
7°F
d)
21°F
29.

Evaluate 5m + 9n if m = -7 and n = 4

a)

71

b)

1

c)

-1

d)

-71

30.

Evaluate 3d if d = 5

a)

3

b)

5

c)

12

d)

15

31.

Evaluate x ÷ 4 if x = 80

a)

4

b)

20

c)

40

d)

80

32.
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
33.
Mrs. Byrne is at her house. She gets in her car and drives north 3.4 miles and stops at Target. Then she turns around and drives south 6.1 miles to go to Mrs. Mangini's house. How far is Mrs. Byrne's house from Mrs. Mangini's house? HINT: Find the difference.
a)
9.3 miles
b)
2.7 miles
c)
3.3 miles
34.
Find −2¼−3⅞
a)
1⅝
b)
−1⅝
c)
−6⅛
35.
The temperature in a town is 34.1°F during the day and −8.6°F at night. Find the difference in the temperatures.
a)
42.7
b)
25.5
c)
42.7°F
d)
25.5°F
36.
A group of friends are rock climbing. Mr. Wharton is 26.4 feet above the ground. Mr. Hall is directly below Mr. Wharton at 14.1 feet above the ground. How far apart are they?
a)
40.5 miles
b)
12.3 miles
c)
12.3 feet
d)
40.5 feet
37.
Convert 11/20 from a fraction to a decimal
a)
5.5
b)
.55
c)
.11
d)
.1120
38.
Which pair shows equivalent numbers?
a)
0.31, 1/3
b)
0.7, 7/100
c)
0.08, 8/10
d)
0.5, 1/2
39.
Write the fraction as a decimal.
5   2/10
a)
52/10
b)
5.210
c)
5.2
d)
5.02
40.
How would you express .005 as a fraction?
a)
5/10
b)
5/100
c)
5/1,000
d)
5/10,000
41.
9 out of 12 students came to the football game. What % attended?
a)
25%
b)
50%
c)
75%
d)
65%
42.
6 out of 8 students will wear red on Monday. What % will wear red?
a)
25%
b)
35%
c)
65%
d)
75%
43.
Jerry bought 6.95 lbs of cherry and lime jelly beans for his birthday party. If 1.75 lbs were cherry flavor, how many pounds were lime flavor?
a)
5.2
b)
8.7
c)
9.7
d)
5.02
44.
Paige was measuring how much taller she got over two years. In the first year she grew 4.62 cm. In the second year she grew 7.7 cm. How much taller did she get altogether?
a)
12.3 cm
b)
3.8 years
c)
12.32 cm
d)
12.32 years
45.
On Tuesday, Terry took a road trip to visit his friends. He travelled 2.25 miles to Frank's house and then 5 1/2 mile to Janice's house before returning home. Using decimals, how many miles did Terry travel on Tuesday?
a)
3.8 miles
b)
7. 60 miles
c)
7. 75 miles 
d)
15.50 miles
46.
⅗+(−⅕)=
a)
⅖
b)
−⅖
c)
⅘
47.

When combining like terms we need to only combine terms with the same ...

a)

variable pattern

b)

coefficient

c)

constant

d)

integer

48.

Combine like terms:

4x + 5y + 3x + 10y

a)

8x + 10y

b)

x + y

c)

9xy + 13xy

d)

7x + 15y

49.

What would come next in the sequence?


4, 7, 10, 13, ____

a)

12

b)

16

c)

14

d)

17

50.

What is the rule for the following sequence?


10, 8, 6, 4, ___

a)

Add -2

b)

Add 2

c)

Add 3

d)

Add -4

51.

Add.

(3x + 7) + (2x - 9)

a)

5x - 16

b)

5x + 2

c)

5x - 2

d)

5x + 16

52.

Subtract.

(10x - 5) - (3x + 6)

a)

7x - 1

b)

13x + 11

c)

7x - 11

d)

13x - 1

53.

Bonus Question:

Who is the main character in the movie Ratatouille?

a)

Ratatouille

b)

Remy

c)

Colette

d)

Anton Ego

54.

Subtract:

(-5x + 8) - (3x + 5)

a)

-8x + 3

b)

-8x - 3

c)

-8x + 13

d)

8x - 3

55.

What is the GCF of:

45 and 15

a)

5

b)

3

c)

15

d)

45

56.

What is the GCF of:

12x and 30xy

a)

3x

b)

6

c)

6x

d)

9

57.

Off topic:

What is the capitol of Pennsylvania?

a)

Philadelphia

b)

Pittsburgh

c)

Hershey

d)

Harrisburg

58.

Factor the expression:

(5x + 10)

a)

cannot be factored

b)

5(x + 2)

c)

10(2x + 1)

d)

5(2x + 1)

59.

Factor the expression:

12x - 15

a)

2(6x - 7)

b)

12(x - 3

c)

6(2x - 3)

d)

3(4x - 5)

60.

Use the distributive property to rewrite:

4(x + 2)

a)

4x + 2

b)

4x + 8

c)

4x - 2

d)

4(x + 2)

61.

What year did the first corvette come out?

a)

1953

b)

2003

c)

1973

d)

1873

62.

Simplify the expression:

3x - (4x + 1) - 10


Remember to distribute the negative!

a)

-7x + 11

b)

-x - 11

c)

x - 9

d)

7x - 9

63.
Solve for s. 
54 = s + 34
a)
10 
b)
20 
c)
34
d)
14
64.
24.87 = y - 43
a)
24.44
b)
25.30
c)
18.13
d)
67.87
65.
Solve for a.
7a = 63
a)
8
b)
9
c)
63
d)
441
66.
Solve for m.
m/8 = 12
a)
m = 8
b)
m = 12
c)
m = 48
d)
m = 96
67.
Solve the equation. Check your solution.
a)
80
b)
45
c)
180
d)
5
68.

3.6k = 7.56

a)

2.8

b)

3.96

c)

0.48

d)

2.1

69.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
70.
What is the first step to solve this equation:
-11 - 3x = 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.
71.
Solve
a)
t = 20
b)
t = -20
c)
t = -40
d)
t = 40
72.
Solve   2(3x + 6) = -6
a)
3
b)
-3
c)
2
d)
-2
73.
Solve the following inequality:
p - 4 < 2
a)
p < - 2
b)
p < 6
c)
p > 6
d)
p < 8
74.
Solve the following inequality:
s + 1 ≥ -5
a)
s ≥ -6
b)
s ≥ - 4
c)
s < -6
d)
s ≤ -4
75.
Solve the following inequality:
k - 14 ≤ - 10
a)
k ≤ 24
b)
k ≥ 4
c)
k ≤ 4
d)
k ≤ -24
76.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
77.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
78.
18 > -2g
a)
g > 9
b)
g > -9
c)
g< -9
d)
g < 9
79.
x/-2 > 4
a)
x > -8
b)
x < -8
c)
x > -4
d)
x < -6
80.

x/4 > -3

a)

x > -12

b)

x < -12

c)

x > -7

d)

x < 1

81.

What inequality symbol goes with is at least?

a)

<

b)

>

c)

≤

d)

≥

82.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

83.
Solve for t.

6t + 4 ≤ -2
a)
t ≤ -1 
b)
t ≤ 1
c)
t=1
d)
1=t
84.
Solve for k. 

7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
85.
Two angles that combine to form a straight angle are always called...
a)
Supplementary
b)
Complementary
c)
Vertical
d)
Adjacent
86.
Two angles that have the same measure are always called...
a)
Vertical
b)
Adjacent
c)
Congruent
d)
Right
87.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right 
d)
straight
88.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
89.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
90.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
91.
The two angles shown are...
a)
complementary
b)
supplementary
c)
vertical
d)
congruent
92.
∠2 and ∠4 can best be described as...
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
93.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
94.
Find the value of x.
a)
38°
b)
52°
c)
142°
d)
152°
95.
Find the missing angle.  Find x.
a)
15o
b)
50o
c)
130o
d)
165o
96.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
97.
What is the missing angle?
a)
90°
b)
87°
c)
80°
d)
88°
98.
What is the value of x?
a)
36
b)
72
c)
108
d)
18
99.
Classify the triangle.
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
100.
a)
A
b)
B
c)
C
d)
D
101.
a)
A
b)
B
c)
C
d)
D
102.
a)
A
b)
B
c)
C
d)
D
103.

Area of rectangle?

a)

72 cm2

b)

38 cm2

c)

84 cm2

d)

42 cm2

104.

Area or triangle?

a)

20 cm2

b)

56 cm2

c)

28 cm2

d)

27 cm2

105.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

106.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

107.

Find the area

a)

41

b)

45

c)

44

d)

43

108.

What is the area of the triangle?

a)

24 in2

b)

12 in2

c)

6 in2

d)

3.5 in2

109.

Area of triangle?

a)

17 units2

b)

20 units2

c)

10 units2

d)

16 units2

110.

What is the area of the shaded region?

a)

14 m2

b)

120 m2

c)

106 m2

d)

134 m2

111.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
112.
 What is the area of this shape?
a)
48 ft2
b)
216 ft2
c)
65 ft2
d)
128 ft2
113.
a)

296.96 m2

b)

248.96 m2

c)

98.24 m2

d)

73.12 m2

114.

Find the are of the shape.

a)

23 sq in

b)

26 sq in

c)

20 sq in

d)

17 sq in

115.

If my diameter is 19 inches, what is my radius?

a)

38 inches

b)

9.5 inches

c)

59.66 inches

d)

119.32 inches

116.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

117.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
118.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
119.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

120.

For this question a number cube labeled one through six is rolled.


Find the probability of rolling a 2 or 4.

Find P(2 or 4).

a)

1/4

b)

1/3

c)

1/6

d)

1/5

121.

For this question a number cube labeled one through six is rolled.


Find P(greater than 2).

a)

1/6

b)

1/3

c)

2/3

d)

1/2

122.

Brenda can choose between 2 pairs of pants and 3 shirts. How many outfits are possible?

a)

5

b)

6

c)

12

d)

24

123.

A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown above.


What is the theoretical probability of landing on A?

a)

26/100

b)

1/4

c)

13/50

d)

1/5

124.

A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown above.


What is the experimental probability of landing on a vowel?

a)

13/50

b)

74/100

c)

1/4

d)

37/50

125.

A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown above.


Which statement is true about comparing the theoretical probability to the experimental probability of landing on H.

a)

1/4 < 21/100

b)

12/50 > 1/4

c)

1/4 < 7/25

d)

1/4 > 7/25

126.

Manny rolls a number cube labeled 1 through 6 and spins a spinner with four equal sections, labeled 1, 2, 3, and 4. If both numbers are odd, he wins. Otherwise, Gabriel wins. Use a list to find the sample space. Then find the probability that Gabriel wins.

a)

1/4

b)

1/2

c)

17/25

d)

3/4

127.

Which of these is a model that you could use to simulate the outcome of guessing the correct answers to a 25-question true-false test.

a)

Flip a coin 25 times

b)

Spin a spinner with 4 equal sections 25 times

c)

Spin a spinner with 3 equal sections 25 times

d)

Flip a coin, then spin a spinner 25 times

128.
1.  Which statement below is true?
a)
a.  The theoretical probability of rolling a 3 is greater than the experimental probability of rolling a 3
b)
a.  The theoretical probability of rolling a 3 is less than the experimental probability of rolling a 3
c)
a.  The theoretical probability of rolling a 3 is equal to the experimental probability of rolling a 3
d)
a.  You cannot determine the theoretical probability.
129.
Dan has 5 pencils and 7 pens in his bag. What is the theoretical probability of pulling out a pencil? 
a)
5/7
b)
5/12
c)
7/12
d)
7/5
130.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
131.

Find the theoretical probability that the spinner below lands on the letter C. Write your answer as a fraction in simplest form

(a)  

132.

A bag contained one red, one blue, and one green ball. Each ball in the bag is the same size and shape. Mr. Smith selected a ball from the bag without looking, recorded the color, and returned the ball to the bag. He did this four times, and the results were red, green, blue, green. Determine the experimental probability of Mr. Smith selecting a red ball from the bag

a)

12\frac{1}{2}  

b)

14\frac{1}{4}  

c)

13\frac{1}{3}  

d)

25\frac{2}{5}  

133.

The manager of a hotel wants to know how often his customers rent boats at a nearby lake. Which sampling method will give valid results?

a)

He asks every tenth customer who checks into the hotel.

b)

He posts a question on the hotel’s Web site.

c)

He randomly surveys households in the neighborhood.

d)

He asks every customer in the hotel lobby at noon.

134.

To survey a town about traffic concerns, Himani divided the town into eight

regions and randomly chose 10 households from each region. What type of

sample did she form?

a)

simple random sample

b)

systematic random sample

c)

biased sample

d)

convenience sample

135.

Five out of seven teens said they do homework every night. What is a reasonable prediction for the number of teens out of 980 who would do homework every night?

a)

57

b)

140

c)

350

d)

700

136.

Use the data set $8, $10, $15, $8, $12, $13, $8 and $11. Which measure of center would you use to convince people that the prices are low?

a)

mean

b)

median

c)

mode

d)

none of these

137.

Which of the following is an appropriate display to show the prices of gasoline over the past 3 weeks?

a)

bar graph

b)

line graph

c)

circle graph

d)

histogram

138.

Which of the following is an appropriate display to show the heights of buildings arranged by intervals?

a)

bar graph

b)

line graph

c)

circle graph

d)

histogram

139.

The bar graph compares the number of students that received a grade of an A, B, C or D in Ms. Logan’s classroom. Which statement best tells why the graph could be misleading?

a)

The intervals on the vertical axis are not equal.

b)

The graph title is misleading.

c)

The intervals on the vertical axis make it appear that the number of students that received each grade are nearly the same.

d)

The graph should be a line graph.

140.

The double line plot shows the number of students who attended the home games of the baseball team for two recent seasons.

Which of the following statements is not true?

a)

The attendance for 2009 was more varied.

b)

The attendance for 2010 was more consistent.

c)

The attendance for 2009 peaked at 23 students.

d)

The attendance for 2010 ranged from 20 to 27.

141.

A survey showed that 90% of students would select roller coasters as their favorite ride at an amusement park. Out of 5,000 students, predict how many would select roller coasters as their favorite ride?

a)

4500

b)

500

c)

450

d)

50

142.
Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
a)
thirty students who are often tardy
b)
thirty students who are rarely tardy
c)
thirty of her friends
d)
thirty randomly selected students from her school
143.

The Student Council asked every tenth student in the lunch line how they preferred to be contacted with school news. The results are shown in the table. Is this an unbiased sample? If yes, suppose there are 684 students at the school. How many can be expected to prefer E-mail?

a)

No, it's a biased sample

b)

432

c)

304

d)

16

144.

To determine the number of umbrellas the average household in the United States owns, a survey of 100 randomly selected households in Arizona is conducted. Of the households, 24 said that they own 3 or more umbrellas. The researcher concluded that 24% of the households in the United States own 3 or more umbrellas. Is the this a valid conclusion? Justify your answer.

a)

Valid. The sample is biased.

b)

Not valid. The sample is biased.

c)

Valid. The sample is unbiased.

d)

Not valid. The sample is unbiased.

145.
_______ is a part of a group being surveyed.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
146.
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
a)
to randomly ask 8th grade students who went on a field trip last year
b)
to randomly choose some 7th grade students to select a location
c)
to ask all 7th grade teachers and administrators for a location
d)
to ask the student council to choose a location
147.
How many total students are in the science class?
a)
13
b)
6
c)
27
d)
25
148.
The mean is
a)
The middle score
b)
 Total & divided by number of scores
c)
The most frequent score
d)
The middle when in order
149.

The mean of this data set is 17.8. What would happen to the mean if 40 was added to the data set?

a)

The mean would not change

b)

The mean would go up

c)

The mean would go down

150.
A data value that is far removed from the rest of the data values in the set.
a)
outlier
b)
inlier
c)
immalier
d)
sublier

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