Question 1

Mari bought 6 packets of tomato seeds. Each packet contained 24 seeds. She planted 1 packet of the seeds, and 15 seeds sprouted.Which statement about the seeds in the remaining packets is best supported by this information?

Accepted Answer

Between 50 and 100 seeds will sprout.

Answer

All 120 seeds will sprout

Answer

At least 100 but no more than 120 seeds will sprout.

Answer

No more than 50 seeds will sprout.

Question 2

Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?

Accepted Answer

22.5 cm

Answer

10.8 cm

Answer

30 cm

Answer

8 cm

Question 3

If x = 14, which equation is true?

Accepted Answer

2(x-3) = 22

Answer

2x- 3 = 22

Answer

3(12-x) = 6

Answer

3(20 -x) = 44

Question 4

A utility line runs underground through Shayne’s rectangular backyard. Shayne is not allowed to dig within 3 feet of the utility line. The diagram below shows the dimensions of Shayne’s backyard in feet. The dashed line represents the utility line. What is the area in square feet of the part of the backyard in which Shayne is allowed to dig?

Accepted Answer

272 ft$^2$

Answer

102 ft$^2$

Answer

374 ft$^2$

Answer

59 ft$^2$

Question 5

The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast. The sales tax for the order was $0.48. She paid for her breakfast with a $10 bill. How much change should Sara receive from the $10 bill?

Accepted Answer

$3.56

Answer

$6.44

Answer

$4.75

Answer

$5.25

Question 6

The box plots show data about the number of years that farmworkers have been employed at each of two farms. Which statement is best supported by the information in the box plots?

Accepted Answer

The median of the data for Farm Y is greater than the median of the data for Farm X.

Answer

The third quartile of the data for Farm Y is less than the third quartile of the data for Farm X.

Answer

The range of the data for Farm Y is equal to the range of the data for Farm X.

Answer

The first quartile of the data for Farm Y is greater than the first quartile of the data for Farm X.

Question 7

Lawrence’s father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?

Accepted Answer

25w + 200 > 750

Answer

200w + 25 > 750

Answer

200w + 25 < 750

Answer

25w + 200 < 750

Question 8

A circular tablecloth has a radius of 2.5 feet. Kyle is sewing a piece of ribbon around the edge of the tablecloth. If Kyle has exactly enough ribbon, which measurement is closest to the length of the piece of ribbon in feet?

Accepted Answer

15.7 ft

Answer

31.4 ft

Answer

19.63 ft

Answer

7.85 ft

Question 9

Which of these does NOT represent the distance a car travels when going 55 miles per hour?

Accepted Answer

In 3 hours a car will travel a distance of 160 miles.

Answer

#texas/3a26547d-6b49-46f2-b1ac-8682cabe0a40/B.png

Answer

d = 55t, where d represents distance in miles and t represents time in hours

Answer

#texas/3a26547d-6b49-46f2-b1ac-8682cabe0a40/D.png

Question 10

Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?

Accepted Answer

101 fl oz

Answer

33 fl oz

Answer

89 fl oz

Answer

10 fl oz

Question 11

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a blue marble from each bag?

Accepted Answer

2/27

Answer

1/135

Answer

1/6

Answer

5/9

Question 12

Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters?

Accepted Answer

54 cm$^3$

Answer

18 cm$^3$

Answer

27 cm$^3$

Answer

9 cm$^3$

Question 13

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced?

Accepted Answer

25%

Answer

40%

Answer

15%

Answer

75%

Question 14

The graph shows the favorite colors chosen by some middle school students. Which statement is supported by the information in the graph?

Accepted Answer

Exactly 18% of the students chose blue as their favorite color

Answer

Fewer than 30% of the students chose red, yellow, or orange as their favorite color.

Answer

Exactly  2/5 of the students chose green, black, or purple as their favorite color.

Answer

More than 1/10 of the students chose pink as their favorite color

Question 15

The table shows the distance, y, a cheetah can travel in feet in x seconds. Based on the information in the table, which equation can be used to model the relationship between x and y?

Accepted Answer

y = 94x

Answer

y = x + 5

Answer

y = 5x

Answer

y = x + 470

Question 16

The spinner shown has eight congruent sections. The spinner is spun 120 times. What is a reasonable prediction for the number of times the spinner will land on an even number?

Accepted Answer

45

Answer

15

Answer

40

Answer

75

Question 17

The model represents an inequality. What is the solution set for the inequality?

Accepted Answer

x ≤ -5

Answer

x ≤ 1

Answer

x ≤ -14

Answer

x ≤ 5

Question 18

A figure was created using a triangle and a semicircle. Use a ruler to measure the dimensions of the triangle and the semicircle to the nearest centimeter. Which measurement is closest to the area of the figure in square centimeters?

Accepted Answer

53 cm$^2$

Answer

81 cm$^2$

Answer

106 cm$^2$

Answer

78 cm$^2$

Question 19

In Oscar’s monthly budget, each category is assigned a certain percentage of his monthly income. Oscar’s monthly income is $2,250. Which statement is NOT supported by the information in the table?

Accepted Answer

Oscar budgets $485 of his monthly income for telephone, utilities, and emergencies.

Answer

Less than $900 of Oscar’s monthly income is for his house payment and life insurance.

Answer

More than $530 of Oscar’s monthly income is for his car payment and car insurance.

Answer

Oscar puts $360 of his monthly income into savings.

Question 20

Kiara downloaded 264 pictures from her cell phone to her computer. These pictures took up 528 megabytes of space on her computer. Each picture took up the same amount of space.How many megabytes do 35 of these pictures take up?

Accepted Answer

70 MB

Answer

23 MB

Answer

18 MB

Answer

8 MB

Question 21

Stephanie has bags of soil to put in her garden. Each bag of soil will cover 125.3 ft$^2$. How many square feet will Stephanie be able to cover if she uses all these bags of soil?

Accepted Answer

469.875 ft$^2$

Answer

418.502 ft$^2 $

Answer

407.225 ft$^2 $

Answer

375.225 ft$^2 $

Question 22

The angle measures of a triangle are shown in the diagram. What is the value of x?

Accepted Answer

28

Answer

10

Answer

20

Answer

25

Question 23

An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best represents this relationship?

Accepted Answer

#texas/69bfef59-a9cd-4f69-a18e-fb8e2e145933/C.png

Answer

#texas/69bfef59-a9cd-4f69-a18e-fb8e2e145933/D.png

Answer

#texas/69bfef59-a9cd-4f69-a18e-fb8e2e145933/B.png

Answer

#texas/69bfef59-a9cd-4f69-a18e-fb8e2e145933/A.png

Question 24

The circle graph shows how Tremaine divided his time on the computer last week. Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play games than to do research?

Accepted Answer

6 hours

Answer

20 hours

Answer

1.5 hours

Answer

7.5 hours

Question 25

What is the solution to this equation?  30.16 = 17.56 + 5x

Accepted Answer

2.52

Answer

6.032

Answer

3.512

Answer

12.6

Question 26

Rachel is setting up tables for a party. Four of the tables are covered with red tablecloths, and eight of the tables are covered with white tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 8 guests. What is the probability that the first guest to arrive will be seated at a table with a red tablecloth?

Accepted Answer

1/3

Answer

1/4

Answer

1/2

Answer

1/8

Question 27

The net of a rectangular prism and its dimensions are shown in the diagram. What is the total surface area of the rectangular prism in square inches?

Accepted Answer

286.5 in.$^2$

Answer

258.75 in.$^2$

Answer

241.5 in.$^2$

Answer

143.25 in.$^2$

Question 28

A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back?

Accepted Answer

1,120

Answer

168

Answer

80

Answer

1,280

Question 29

A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The diameter of the circular area of grass is 16 ft. Which measurement is closest to the area in square feet that this sprinkler sprays with water?

Accepted Answer

200.96 ft$^2$

Answer

803.84 ft$^2$

Answer

100.48 ft$^2$

Answer

50.24 ft$^2$

Question 30

Which situation can be represented by this inequality? 1.25x - 6.50 > 50

Accepted Answer

Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?

Answer

Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?

Answer

Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?

Answer

Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?

Question 31

The dot plots show the heights of the players on two basketball teams. Which statement is best supported by these data?

Accepted Answer

Team B has a greater range in player heights than Team A has.

Answer

The median height of the players on Team B is less than the median height of the players on Team A.

Answer

The distributions of the data for Team A and Team B are approximately symmetrical.

Answer

The mode height of the players on Team B is less than the mode height of the players on Team A.

Question 32

Rebecca needs $10	frac{1}{2}$  yards of fabric to make a quilt. She has one piece of fabric that is $2	frac{1}{2}$  yards and another piece of fabric that is $4	frac{1}{4}$  yards. How many more yards of fabric does Rebecca need to make the quilt?

Accepted Answer

$3	frac{3}{4}$

Answer

$3	frac{1}{4}$

Answer

$6	frac{3}{4}$

Answer

$4	frac{1}{4}$

Question 33

Leticia has two bouquets of flowers. Each bouquet contains 13 daisies.
• Bouquet S contains 30 flowers.
• Bouquet T contains 13 flowers.
Which statement is true?

Accepted Answer

The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T.

Answer

The probability of randomly selecting a daisy from Bouquet S is 1.

Answer

The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.

Answer

The probability of randomly selecting a daisy from Bouquet S is 1/3

Question 34

A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

Accepted Answer

y = 2.65x + 2.50

Answer

y = 2.50x + 2.65

Answer

y = 2.65x- 2.50

Answer

y = 2.65(x + 2.50)

Question 35

Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true?

Accepted Answer

They have corresponding angles that are congruent.

Answer

They are the same size but different shapes.

Answer

They are the same size and shape.

Answer

They have corresponding sides that are congruent.

Question 36

Parker conducted a random survey at the mall to determine the number of songs in each genre that were downloaded by 40 students. The results are shown in the bar graph. Based on the information in the graph, which inference about the general population of students is valid?

Accepted Answer

Boys like rock music more than girls like rap music.

Answer

More girls than boys like rock music.

Answer

Girls like country music more than all other genres combined.

Answer

Boys like country music more than rock music.

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