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2009 HSA
Contributed by: Dolch
 86

79

80

82

Stephanie scored 88, 70, 84, and 72 on her first

four science tests. What score does Stephanie

need on her fifth science test to receive a mean

score of 80?

Time (m) in minutes

2

3

4

6

9

Number of words typed

(w)

122

182

240

368

538

The table below shows the number of words a student typed

during five timed sessions.

 

 

w = 3m + 60

 w = 60m + 3

w = 102m - 117

w = -117m + 102

Look at the function that is graphed below.

What are the zero(s)

of the function?

2

-1, 3

-4, 4

-3, 1, 5

Look at the pattern below.

-83.2 

-41.6

 41.6

 83.2

If this pattern continues, what is the sixth term?

2.6, 5.2, 10.4, 20.8, . . .

Look at the table below.

Which of these equations describes the relationship between

the x-values and the y-values?

x
y
1
3

y= 2x - 5

y= x + 2

y= x + 5

 y= 5x - 2
2
8
13
3
18
4

What is the slope of the line that passes through

the points (-3, -2) and (1, 3)?

The table below shows a cubic relationship between x and y.

x
2
3
4
5
1

6

7
216
125
27
64
1
8
y
?

If this pattern continues,

what is the value of y

when x = 7?

white
grey

A store sells T-shirts. The matrices below show the number of

T-shirts in the store on November 1 and December 1.

If the store did not add any additional T-shirts between November 1

and December 1, what size T-shirt sold the least?

# of t-shirts Nov. 1st

 s

 l

100
150
s
150
160
m
170
220
l

T-SHIRTS IN THE STORE

200
240
xl
white
grey

  xl

  m 

# of T-shirts on Dec. 1st

100
40
s
110
120
m
150
130
l
140
150
xl

A box of cereal contains 1 of 5 different prizes. A simulation was

conducted to predict how many boxes of cereal must be bought in

order to get all 5 prizes. The results of 30 trials are shown in the

stem-and-leaf plot below.

Number of Boxes Bought
1
KEY
5= 15
0
1
2
3
4

5 8 9

3 5 6 7 8 8 9 9
0 1 2 3 3 5 6 7
5
1 1 2 2 3 4 5 8 8 9

Based on the results of the simulation,

what is the total number of people out

of 150 who would need to buy less than

10 boxes of cereal to get all 5 prizes?

 3

 5

 30

  15 

Steve bought 3 hot dogs and 1 large soda using the menu

 shown below.

The total cost of Steve’s purchase was less than $6.75. Which of

these inequalities best represents the cost (c) of each hot dog?

 c < $2.75

 c > $2.75

Large Soda          $1.50

Item                      Price

Hot Dog             $
Lunch Menu

 c < $1.75

 c > $1.75

The width and length, in feet, of a rectangular playground

are x and x + 2.  A fence costs $17 per foot. Which of these

 expressions represents the cost, in dollars, to build a fence

 around this rectangular playground?

 17[x+(x+2)]

 17+x+(x+2)

 17x(x+2)

 17[x+(x+2)+x+(x+2)]

A spinner is divided into 8 equal sections as shown below.

What is the theoretical probability that the arrow will not land

 on a section labeled E or O?

E
N

N

S
E
T
R
O

The test scores for two classes are shown below.

Class A
8 8 8 6 2
4 2 0
0
TEST SCORES
0

6

 

 

7

 

 

8

 

 

9

2 5
2 6 6 7 8
4 4 4
Class B
5
6

What is the differences between

 the ranges of the scores for

 Class A and Class B?

=65
KEY
5
2=52

Which of these statements must be true?

Look at the system of equations below.

y = -2x + 5

 

y = -2x + 3

The line intersect at (3, 5)

The lines intersect at (-.5, 4)

The equations represent the same line

The equations represent parallel lines

Look at the pattern shown in the table below.

If this pattern continues, what is the value of y when x is 10?

 66

 108 

 89

 129

x
y
1
9
12
2
17
3
24
4
33
5

Alexis advertised that 25 percent of the cars that she sold were red.

Which of these could not be used to simulate the number of red cars

that Alexis sold?

 Draw a card from a deck of cards numbered 1-24

 Toss a fair coin once

 Use a random number generator to generate the numbers 1-8

 Spin a spinner with 4 equally-sized sections

What is the median number of people on the boards of directors

of these 23 companies?

The table below shows the number of people on the boards of

 directors of 23 companies.

# people
7

3

4
5
6
# companies
10
5
3
2
3

The matrix below shows the grades on an algebra test and a science

 test for three students.

Lauren increased her grade on the next science test by 5%. What was

Lauren’s grade on her next science test?

Leo                 74                    82

 

Lauren           94                    80

 

Anthony        91                    78

        
Algebra         Science
Test Grades

Look at the function that is graphed below.

Which of these describes the range

 of this function?

 0 < y < 5

all whole numbers

all real numbers

  y > 0

Eric and Pam are each saving money to buy a car. Eric has $750

saved and will save an additional $30 a week. Pam has $1,200 saved

and will save an additional $20 a week. How many weeks will it take

Eric and Pam to save the same amount of money?

50 Weeks

55 Weeks

39 Weeks

45 Weeks

The mean misrepresents the test scores because 100 is

        an extreme value

The median misrepresents the test scores because 100 is an            

        extreme value

The mean represents the test scores because it is the middle value

        of these test scores

The median represents the test scores because it is the one that 

        occurs the most

The test scores for the nine students in Mrs. Miller’s history class are

shown below.

Which of the following statements is true about the test scores?

68 69 70 71 71 72 72 72 100

Look at the pattern shown below.

If this pattern continues, what is the sixth term?

2, 6, 18, 54, . . .

Internet Company A charges a $25 fee plus an additional $0.35

per hour. Internet Company B charges a $10 fee plus an additional

 $0.50 per hour. For what number of hours are the charges for both

 companies the same?

A fish tank at a pet store has 3 red fish, 6 blue fish, 7 yellow fish,

and 4 orange fish. If one fish is chosen at random from the tank,

 what is the probability that the fish will be blue or yellow?

Each student pays a one-time fee of $25 to be in the chorus. Each

student also pays an additional $5 each month for travel expenses.

In how many months will a student spend $100 to be in the chorus?

Survey 50 randomly selected people who leave a video rental store

Survey 50 randomly selected residents in the viewing area 

Survey 50 randomly selected residents from the local phone book

Survey 50 randomly selected people who enter the television station

A television station will conduct a survey to determine the most

 popular television show in its viewing area. Which of these methods

provides the most representative sample?

The line y = -2x + 5 is graphed below.  What is the value

of x when y is -3?

 11

 1

 -1

  4
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