DIRECTIONS

Read each question carefully. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer to the question. Then fill in the answer on your answer document.

 

 

 

1  Varun recorded the high temperature each day for the past 5 days. The temperatures, in degrees Celsius, are 6, 8, –2, –6, and –5. He does the following calculations.

                         Which statement is true?

A  The mean temperature is 27.2°C.

B  The mean temperature is 1°C.

C  The mean absolute deviation is 5.44°C.

D  The mean absolute deviation is 0.2°C.

 

 

 

2  The daily high temperatures in Nome, Alaska over four days was –1 ºF, –2 ºF, 1.25ºF, and –2 ºF. Which list shows these temperatures in order from warmest to coldest?

F   1.25ºF, –2 ºF, –2 ºF, –1 ºF

G   1.25ºF, –1 ºF, –2 ºF, –2 ºF

H   –2 º, –2 ºF, –1 ºF, 1.25ºF

J   –2 ºF, –2 º –1 ºF, 1.25ºF

3  To ship a package, Ships for Less charges a flat rate of $8 and $0.25 for each pound. The Box Shop charges a flat rate of $6 and $0.35 for each pound. Which equation can be  used to find when the cost for shipping a package of p pounds will be the same for both companies?

 

A   8p + 6 = 0.25p + 0.35

B   8p + 0.25p = 6p + 0.35p

C   8 + 0.25p = 6 + 0.35p

D   8 + 6p = 0.25 + 0.35p

 

 

 

           4  An equation is shown below.

360 — 25.5x = 70.50 + 22.75x

           Which of the following real–world problems could be represented by this equation?

F   Tina has a savings account with a balance of $22.50. She deposits $360.00 into the account. Marion has a savings account with a balance of $70.50. He deposits $22.75 into the account each month. What is x, the number of months that need to pass for Tina and Marion to have the same savings account balance?

 

G   Tina has a savings account with a balance of $360.00. She widthdrawals $25.50 from the savings account each month. Marion has a savings account with a balance of $70.50. He deposits $22.75 into the account each month. What is x, the number of months that need to pass for Tina and Marion to have the same savings account balance?

 

H   Tina has a savings account with a balance of $360.00. She deposits $25.50 into the savings account each month. Marion has a savings account with a balance of $70.50. He withdrawals $22.75 from the account each month. What is x, the number of months that need to pass for Tina and Marion to have the same savings account balance?

 

J   Tina has a savings account with a balance of $360.00. She withdrawals $25.50 from the savings account each month. Marion has a savings account with a balance of $22.75. He deposits $70.50 into the account. What is x, the number of months that need to pass for Tina and Marion to have the same savings account balance?

5  Matthew uses a ringtone subscription service to buy new ringtones. The service charges a flat rate plus a cost per ringtone downloaded. Matthew uses a table to track the overall cost of the service based on the number of ringtones he has downloaded.

What is the flat rate charged by the service in dollars?

 

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

6  Four farmers lost a portion of their chickens to coyotes this season. Daniel lost   of his chicken population, Ted lost 0.8% of his chicken population, John lost 5%, and Angel lost  of his total chicken population. Which of the following orders the portion lost from least to greatest?

F John, Ted, Daniel, Angel

G Daniel, Angel, John, Ted

H Angel, Ted, John, Daniel

J Ted, John, Daniel, Angel

 

 

 

 

7  Small's Cleaning Company charges $312 to power-wash the siding of a house plus $12 for each window. The Power Clean Company charges $36 per window, and the price includes power-washing the siding. For what number of windows do the companies charge the same amount?

A  7

B  13

C  9

D  26

8  Trey and Canon are having a race. Canon starts 10 meters in front of the starting line while Trey starts on the starting line. Trey runs at 6 meters per second, while Canon runs at 5.5 meters per second. This can be represented by the following equation, where x is the number of seconds after the start of the race that Trey and Canon will be the same distance from the starting line.

6x = 5.5x + 10

What value of x makes this equation true?

 

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

9   Liliana is researching the effect of various fertilizers on the height of plants. The height of the plants grown in 8 different fertilizers are given in the table.

Based on the data, which statement is true?

A   The mean absolute deviation of the heights is 1 cm.

B     The mean absolute deviation of the heights is 40 cm.

C     The mean absolute deviation of the heights is  cm.

D  The mean absolute deviation of the heights is 8 cm.

10  An inequality is shown below.

0.39x > 10 + 0.89x

Luna writes the following real-world situation to correspond to the inequality.

Which statement is true about Luna's problem?

 

F  The problem does not correspond to the inequality, because the term 0.39x would be 0.39.

G  The problem does not correspond to the inequality, because the term 0.39x would be switched with the term 0.89x.

H  The problem does not correspond to the inequality, because the greater than symbol would be a less than symbol.

                              J   The problem corresponds to the inequality.

11  Water is leaking from a rain barrel at a constant rate. The number of gallons left in the the barrel, y, after it has been leaking for x hours is given in the table below.

What is the rate of change represented in the table?

A  –2.4 gallons per hour

B  2 gallons per hour

C  4.8 gallons per hour

D  –0.4 gallons per hour

 

 

 

 

 

 

12   Monica and Nisa each start filling up a swimming pool with a garden hose at the same time. There are already 180 gallons of water in Monica's pool, and Nisa's pool is empty. Monica is using a hose that fills the pool at 15 gallons per minute. Nisa is using a hose that fills the pool at 25 gallons per minute. Which equation can be used to find x, the number of minutes that need to pass for the two pools to contain the same amount of water?

F   180 + 15x = 25x

G   180 + 15x = 25

H   180x + 15 = 25

J   180x + 15 = 25x

 

 

 

13   Eight students are taking a statistics course. Their scores on the final exam are given below.

What is the mean absolute deviation of the scores?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

14  An equation is shown below.

3   + 2  x =   + 3x

Which of the following real–world problems corresponds with this equation?

6. Louis and Tasha are playing a video game. Louis starts the game with 3 points, and Tasha starts the game with 2                 points. Louis gains  of a point each level, and Tasha earns 3 points each level. What is x, the number of levels that Louis and Tasha need to play to have the same number of points?
7. Louis and Tasha are playing a video game. Louis starts the game with 2 points, and Tasha starts the game with 3 points. Louis gains 3 of a point each level, and Tasha earns  points each level. What is x, the number of levels that Louis and Tasha need to play to have the same number of points?
8. Louis and Tasha are playing a video game. Louis starts the game with 3 points, and Tasha starts the game with  of a point. Louis gains 2 points each level, and Tasha earns 3 points each level. What is x, the number of levels that Louis and Tasha need to play to have the same number of points?​

          J.   Louis and Tasha are playing a video game. Louis starts the game with 2 points, and Tasha starts the game with 2     points. Louis           gains 3 of a point each level, and Tasha earns 3 points each level. What is x, the number of levels that Louis and Tasha need to play to           have the same number of points?

 

 

 

15  What value of x makes this equation true?

2.8x + 1.05 = 0.7x + 4.2

A   5.25

B   2.5

C   3.15

D   1.5

16   Alicia is buying carpet for her house. She receives the following quote from the flooring company.

$2,700 for 1,800 ft² of carpet installed, including a 5-year warranty.

The flooring company charges a set rate per square foot of carpet. Which graph represents the relationship described?

F                  H    

G                               J

 

 

 

 

 

 

 

17The circumference of three circles are shown in the table below.

 

 

What is the order of the circles from least circumference to greatest circumference?

 

A Circle P, Circle Q, Circle R

B Circle R, Circle P, Circle Q

C Circle P, Circle R, Circle Q

D Circle R, Circle Q, Circle P

18   Jerry is stacking textbooks for his math teacher, Mrs. Sousa. The height of the stack of x books can be represented by the following equation, where y is the height of the stack in centimeters.

y = 2.5x Which graph best represents this relationship?

F                  H    

G          J​

19   A-Plus Advertising charges a fee of $24 plus $0.10 per flyer to print and deliver flyers. Another company, Print and More, charges $0.25 per flyer. Which inequality can be used to find the number of flyers, n, for which A-Plus Advertising is less expensive than Print and More?

A 24 + 0.10n > 0.25n

B 0.25n < 0.10 + 24n

C 24 + 0.10n < 0.25n

D 0.25n > 0.10n+ 24n

 

 

 

20    An airline is charging customers by the length of the flight, in miles. The cost of a flight based on the number of miles is represented on the grid below.

Based on the graph, which statement is true?

 

F The flights cost $0.40 per mile.

G The flights cost $2.50 per mile.

H The flights cost $0.25 per mile.

J The flights cost $1.00 per mile.