2017 TEXAS STAAR TEST GRADE 7 MATH - Scott Hochberg · PDF file2017 TEXAS STAAR TEST – GRADE 7 ... direct any questions about the content of the test to the Texas ... 1 2 3 4 5 6

2017 TEXAS STAAR TEST – GRADE 7 – MATH

Total Possible Score: 40

Needed Correct to Pass: 25

Needed Correct to Master: 33

Time Limit: 4 Hours

This file contains the State of Texas Assessments of Academic Readiness (STAAR) administered in Spring, 2017,

along with the answer key, learning objectives, and, for writing tests, the scoring guide. This document is available

to the public under Texas state law. This file was created from information released by the Texas Education Agency,

which is the state agency that develops and administers the tests. All of this information appears on the Texas

Education Agency web site, but has been compiled here into one package for each grade and subject, rather than

having to download pieces from various web pages.

The number of correct answers required to "pass" this test is shown above. Because of where the "passing" score is

set, it may be possible to pass the test without learning some important areas of study. Because of this, I believe that

making the passing grade should not be considered "good enough." A student's goal should be to master each of the

objectives covered by the test. The "Needed Correct to Master" score is a good goal for mastery of all the objectives.

The test in this file may differ somewhat in appearance from the printed version, due to formatting limitations.

Since STAAR questions are changed each year, some proposed questions for future tests are included in each year's

exams in order to evaluate the questions. Questions being evaluated for future tests do not count toward a student's

score. Those questions are also not included in the version of the test made available to the public until after they

used as part of the official test.

The test materials in this file are copyright 2017, Texas Education Agency. All rights reserved. Reproduction of all or

portions of this work is prohibited without express written permission from the Texas Education Agency. Residents

of the state of Texas may reproduce and use copies of the materials and related materials for individual personal

use only without obtaining written permission of the Texas Education Agency. For full copyright information, see:

http://tea.texas.gov/About_TEA/Welcome_and_Overview/Site_Policies/

Questions and comments about the tests should be directed to:

Texas Education Agency

Student Assessment Division

1701 N. Congress Ave, Room 3-122A

Austin, Texas 78701

phone: 512-463-9536 email: [email protected]

Hard copies of the released tests may be ordered online through ETS at:

http://texasassessment.com/uploads/2017-released-test-order-form-final-tagged.pdf .

When printing questions for math, make sure the print menu is set to print the pages at 100% to ensure that the art

reflects the intended measurements.

For comments and questions about this file or the web site, you can e-mail me at [email protected]. Please

direct any questions about the content of the test to the Texas Education Agency at the address above.

Provided as a public service by

Former State Representative Scott Hochberg.

No tax dollars were used for this web site.

®STAARState of Texas

Assessments of Academic Readiness

GRADE 7 Mathematics

Administered May 2017

RELEASED

Copyright © 2017, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without express written permission from the Texas Education Agency.

22π ≈ 3.14 or π ≈ 7

1V = B3 h

01

23

45

67

8Inches

®

STAARState of Texas

Assessments of Academic Readiness

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

k = y x

1A = bh2

1A = (b + b )h1 22

STAAR GRADE 7 MATHEMATICS REFERENCE MATERIALS

LINEAR EQUATIONS

Slope-intercept form y = mx + b

Constant of proportionality

CIRCUMFERENCE

Circle C = 2πr or C = πd

AREA

Triangle

Rectangle or parallelogram A = bh

Trapezoid

Circle 2A = πr

VOLUME

Prism V = Bh

Pyramid

ADDITIONAL INFORMATION

Pi

Distance d = rt

Simple interest I = Prt

tA = P (1 + r) Compound interest

01

2 3

4 5

6 7

8 9

10

11 12

13 14

15 16

17 18

19 20

Cent

imet

ers

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

STAAR GRADE 7 MATHEMATICS REFERENCE MATERIALS LENGTH

Customary Metric

1 mile (mi) = 1,760 yards (yd) 1 kilometer (km) = 1,000 meters (m)

1 yard (yd) = 3 feet (ft) 1 meter (m) = 100 centimeters (cm)

1 foot (ft) = 12 inches (in.) 1 centimeter (cm) = 10 millimeters (mm)

VOLUME AND CAPACITY

Customary Metric

1 gallon (gal) = 4 quarts (qt) 1 liter (L) = 1,000 milliliters (mL)

1 quart (qt) = 2 pints (pt)

1 pint (pt) = 2 cups (c)

1 cup (c) = 8 fluid ounces (fl oz)

WEIGHT AND MASS

Customary Metric

1 ton (T) = 2,000 pounds (lb) 1 kilogram (kg) = 1,000 grams (g)

1 pound (lb) = 16 ounces (oz) 1 gram (g) = 1,000 milligrams (mg)

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MATHEMATICS

Mathematics

Page 7

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 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?

A No more than 50 seeds will sprout.

B Between 50 and 100 seeds will sprout.

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

D All 120 seeds will sprout.

Mathematics

Page 8

2 Triangle ABC is similar to triangle FGH.

G

B

13.5 cm 9 cm

A F 15 cm x

12 cm

18 cm

C

H

What is the value of x in centimeters?

F 22.5 cm

G 8 cm

H 10.8 cm

J 30 cm

3 If x = 14, which equation is true?

A 3(20 �� x) = 44

B 3(12 �� x) = 6

C 2(x �� 3) = 22

D 2x �� 3 = 22

Mathematics

Page 9

No

digg

ing

No

digg

ing

22 ft

17 ft

3 ft 3 ft 14 ft

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?

F 272 ft2

G 374 ft2

H 102 ft2

J 59 ft2

Mathematics

Page 10

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.

Breakfast Menu

Item Price

One egg $1.69 Slice of bacon $1.49 Glass of orange juice $1.09

How much change should Sara receive from the $10 bill?

A $3.56

B $6.44

C $5.25

D $4.75

6 The box plots show data about the number of years that farmworkers have been employed at each of two farms.

Number of Years Workers Have Been Employed at Two Farms

Farm X

Farm Y

0 5 10 15 20 25 30 35

Number of Years

Which statement is best supported by the information in the box plots?

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

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

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

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

Mathematics

Page 11

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?

A 200w + 25 < 750

B 25w + 200 < 750

C 200w + 25 > 750

D 25w + 200 > 750

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?

F 7.85 ft

G 15.7 ft

H 19.63 ft

J 31.4 ft

Mathematics

Page 12

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

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

Car Travel

B

Time Distance (hours) (miles)

1 55 1.5 82.5 2 110 2.5 137.5

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

Car Travel

200

y

x 1 2 3 4

Dis

tanc

e (m

iles)

150

100

50

0 Time

(hours)

D

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?

F 89 fl oz

G 101 fl oz

H 10 fl oz

J 33 fl oz

Mathematics

Page 13

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?

59 A

1 135 B

16 C

227 D

12 José paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?

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

Mathematics

Page 14

13 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?

A 54 cm3

B 18 cm3

C 9 cm3

D 27 cm3

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

F 15%

G 25%

H 75%

J 40%

Mathematics

Page 15

15 The graph shows the favorite colors chosen by some middle school students.

Colo

r

Favorite Colors

Red

Yellow

Orange

Blue

Green

Black

Pink

Purple

0 1 2 3 4 5 6 7 8 9 10

Number

Which statement is supported by the information in the graph?

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

110 B More than of the students chose pink as their favorite color.

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

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

Mathematics

Page 16

16 The table shows the distance, y, a cheetah can travel in feet in x seconds.

Speed of a Cheetah

Time, x Distance, y (seconds) (feet)

5 470 10 940 15 1,410 20 1,880 25 2,350

Based on the information in the table, which equation can be used to model the relationship between x and y?

F y = 5 x

G y = x + 5

H y = x + 470

J y = 94x

Mathematics

Page 17

17 The spinner shown has eight congruent sections.

8

11

16 2

3

5

91

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

A 75

B 45

C 15

D 40

Mathematics

Page 18

≤

KEY

= x

= 1 = −1

18 The model represents an inequality.

What is the solution set for the inequality?

F x ≤ ��5

G x ≤ 5

H x ≤ 1

J x ≤ ��14

Mathematics

Page 19

19 A figure was created using a triangle and a semicircle. Use the ruler provided 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?

A 78 cm2

B 81 cm2

C 106 cm2

D 53 cm2

Mathematics

Page 20

20 In Oscar’s monthly budget, each category is assigned a certain percentage of his monthly income. Oscar’s monthly income is $2,250.

Monthly Budget

Category Percentage

Savings 16% House payment 35% Telephone 5% Utilities 6% Car payment 17.5% Car insurance 6.5% Life insurance 3% Emergencies 11%

Which statement is NOT supported by the information in the table?

F Oscar puts $360 of his monthly income into savings.

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

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

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

21 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?

A 18 MB

B 70 MB

C 8 MB

D 23 MB

Mathematics

Page 21

22 A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil

holder is 12 cm, and the volume of the pencil holder is 216 cm3 .

What is the area of the base of the pencil holder in square centimeters?


23 Stephanie has3

3 4 bags of soil to put in her garden. Each bag of soil will cover 125.3 ft2. How

many square feet will Stephanie be able to cover if she uses all these bags of soil?

A 469.875 ft2

B 375.225 ft2

C 407.225 ft2

D 418.502 ft2

Mathematics

Page 22

24 The angle measures of a triangle are shown in the diagram.

What is the value of x?

F 25

G 20

H 10

J 28

Mathematics

Page 23

25 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?

Statue Scale y

20

Stat

ue S

ize

(fee

t)

16

12

8

4

x 0 4 8 12 16 20

Model Size (inches)

Statue Scale y

20

Stat

ue S

ize

(fee

t)

16

12

8

4

x 0 4 8 12 16 20

Model Size (inches)

A

B

Stat

ue S

ize

(fee

t)

Statue Scale y

x 0 4 8 12 16 20

Model Size (inches)

20

16

12

8

4

C

Mathematics

Page 24

D

Statue Scale

Stat

ue S

ize

(fee

t)

Model Size (inches)4 8 12 16 200

4

8

12

16

20

y

x

26 The circle graph shows how Tremaine divided his time on the computer last week.

Tremaine’s Computer Time

Games 25%

Homework 20%

Other 10%

Social media 40%

Research 5%

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?

F 6 hours

G 20 hours

H 7.5 hours

J 1.5 hours

Mathematics

Page 25

27 What is the solution to this equation?

30.16 = 17.56 + 5x

A 6.032

B 3.512

C 12.6

D 2.52

28 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?

12 F

13 G

14 H

18 J

Mathematics

Page 26

29 The net of a rectangular prism and its dimensions are shown in the diagram.

7.5 in.

7.5 in.

11.5 in.

11.5 in.

3 in.3 in.

What is the total surface area of the rectangular prism in square inches?

A 143.25 in.2

B 241.5 in.2

C 258.75 in.2

D 286.5 in.2

30 A doctor has an annual income of $152,125. The income tax the doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?


Mathematics

Page 27

31 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?

A 80

B 168

C 1,280

D 1,120

32 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?

F 100.48 ft2

G 50.24 ft2

H 200.96 ft2

J 803.84 ft2

Mathematics

Page 28

33 Which situation can be represented by this inequality?

1.25x �� 6.50 > 50

A 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?

B 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?

C 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?

D 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?

Mathematics

Page 29

34 The dot plots show the heights of the players on two basketball teams.

Team A

72 73 74 75 76 77 78 79 80 81 82 83 84 Height (inches)

Team B

72 73 74 75 76 77 78 79 80 81 82 83 84 Height (inches)

Which statement is best supported by these data?

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

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

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

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

35 The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?


Mathematics

Page 30

110 2 36 Rebecca needs yards of fabric to make a quilt. She has one piece of fabric that is

12 2

1 4 4 yards and another piece of fabric that is yards. How many more yards of fabric does

Rebecca need to make the quilt?

14 yd4 F

13 yd4 G

33 yd4 H

36 yd4 J

37 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?

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

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

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

13

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

Mathematics

Page 31

38 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?

F y = 2.50x + 2.65

G y = 2.65(x + 2.50)

H y = 2.65x �� 2.50

J y = 2.65x + 2.50

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

A They are the same size and shape.

B They are the same size but different shapes.

C They have corresponding angles that are congruent.

D They have corresponding sides that are congruent.

Mathematics

Page 32

Num

ber

of S

ongs

Music Downloads

10

8

6

4

2

0 Country Rap Rock

Girls

Boys

KEY

Genre

40 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?

F Girls like country music more than all other genres combined.

G More girls than boys like rock music.

H Boys like country music more than rock music.

J Boys like rock music more than girls like rap music.

BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS Mathematics

Page 33 ON THE ANSWER DOCUMENT. STOP

STAAR GRADE 7

Mathematics May 2017

801266

STAAR® Grade 7 Mathematics 2017 Release Answer Key Paper

Item Number

Reporting Category

Readiness or Supporting

Content Student Expectation

Correct Answer

1 1 Readiness 7.6(H) B 2 3 Readiness 7.5(C) F 3 2 Supporting 7.11(B) C 4 3 Readiness 7.9(C) F 5 2 Readiness 7.3(B) A 6 4 Readiness 7.12(A) H 7 2 Supporting 7.10(A) D 8 3 Readiness 7.9(B) G 9 2 Readiness 7.4(A) C

10 3 Supporting 7.4(E) G 11 1 Readiness 7.6(I) D 12 2 Supporting 7.4(B) 11.75 13 3 Readiness 7.9(A) A 14 2 Readiness 7.4(D) G 15 4 Readiness 7.6(G) C 16 2 Readiness 7.7(A) J 17 1 Supporting 7.6(D) B 18 2 Readiness 7.11(A) F 19 3 Readiness 7.9(C) D 20 4 Supporting 7.13(B) H 21 2 Readiness 7.4(D) B 22 3 Readiness 7.9(A) 18 23 2 Supporting 7.3(A) A 24 3 Supporting 7.11(C) J 25 2 Readiness 7.4(A) C 26 4 Readiness 7.6(G) F 27 2 Readiness 7.11(A) D 28 1 Readiness 7.6(I) G 29 3 Supporting 7.9(D) D 30 4 Supporting 7.13(A) 9127.50 31 1 Supporting 7.6(C) D 32 3 Readiness 7.9(B) H 33 2 Supporting 7.10(C) A 34 4 Readiness 7.12(A) H 35 3 Readiness 7.5(C) 70 36 2 Readiness 7.3(B) H 37 1 Readiness 7.6(H) A 38 2 Readiness 7.7(A) J 39 3 Supporting 7.5(A) C 40 4 Supporting 7.12(C) J

Copyright © 2017, Texas Education Agency (TEA). All rights reserved.

2017 STAAR Grade 7 Math Rationales

Item # Response A/F Response B/G Response C/H Response D/J 1 A is incorrect because 15

seeds sprouted in one packet. 15 x 6 packets = 90 seeds, which is more than 50 seeds.

B is correct because15 seeds sprouted in one packet. 15 x 6 packets = 90 seeds, which is between 50 and 100 seeds.

C is incorrect because 15 seeds sprouted in one packet. 15 x 6 packets = 90 seeds, which is not between 100 and 120 seeds.

D is incorrect because 15 seeds sprouted in one packet. 15 x 6 packets = 90 seeds, which is not all 120 seeds.

2 F is correct because the length can be found using the proportion x/18 = 15/12, which simplifies to x = 22.5.

G is incorrect because the length can be found using the proportion x/18 = 15/12, which simplifies to x = 22.5, not 8.

H is incorrect because the length can be found using the proportion x/18 = 15/12, which simplifies to x = 22.5, not 10.8.

J is incorrect because the length can be found using the proportion x/18 = 15/12, which simplifies to x = 22.5, not 30.

3 A is incorrect because 3(20 -14) = 18, not 44.

B is incorrect because 3(12 -14) = -6, not 6.

C is correct because 2(14 - 3) = 22.

D is incorrect because 2(14) -3 = 25, not 22.

4 F is correct because the formula for the area of a rectangle is A = bh, so the total area of the yard minus the area where digging is not allowed can be found using A = 22(17) - 6(17) = 272.

G is incorrect because the formula for the area of a rectangle is A = bh, so the total area of the yard minus the area where digging is not allowed can be found using A = 22(17) - 6(17) = 272, not 374.

H is incorrect because the formula for the area of a rectangle is A = bh, so the total area of the yard minus the area where digging is not allowed can be found using A = 22(17) - 6(17) = 272, not 102.

J is incorrect because the formula for the area of a rectangle is A = bh, so the total area of the yard minus the area where digging is not allowed can be found using A = 22(17) - 6(17) = 272, not 59.

5 A is correct because the change can be found using 10 -(1.69 + 1.69 + 1.49 + 1.09 + 0.48) = 3.56.

B is incorrect because the change can be found using 10 -(1.69 + 1.69 + 1.49 + 1.09 + 0.48) = 3.56, not 6.44.

C is incorrect because the change can be found using 10 -(1.69 + 1.69 + 1.49 + 1.09 + 0.48) = 3.56, not 5.25.

D is incorrect because the change can be found using 10 -(1.69 + 1.69 + 1.49 + 1.09 + 0.48) = 3.56, not 4.75.

6 F is incorrect because the range of the data for Farm Y, which is 30 - 5 = 25, is less than the range of the data for Farm X, which is 35 - 4 = 31.

G is incorrect because the third quartile of the data for Farm Y, which is 27, is greater than the third quartile of the data for Farm X, which is 24.

H is correct because the median of the data for Farm Y, which is 18, is greater than the median of the data for Farm X, which is 17.

J is incorrect because the first quartile of the data for Farm Y, which is 12, is less than the first quartile of the data for Farm X, which is 15.

7 A is incorrect because 25 cards multiplied by the number of weeks, w, added to 200 cards is greater than 750 is represented by the inequality 25w + 200 > 750, not 200w + 25 < 750.

B is incorrect because 25 cards multiplied by the number of weeks, w, added to 200 cards is greater than 750 is represented by the inequality 25w + 200 > 750, not 25w + 200 < 750.

C is incorrect because 25 cards multiplied by the number of weeks, w, added to 200 cards is greater than 750 is represented by the inequality 25w + 200 > 750, not 200w + 25 > 750.

D is correct because 25 cards multiplied by the number of weeks, w, added to 200 cards is greater than 750 is represented by the inequality 25w + 200 > 750.

8 F is incorrect because the formula for the circumference of a circle is C = 2ʌU, so C = ��ʌ��§�� 15.7, not 7.85.

G is correct because the formula for the circumference of a circle is C = 2ʌU, so C = ��ʌ��§�� 15.7.

H is incorrect because the formula for the circumference of a circle is C = 2ʌU, so C = ��ʌ��§�� 15.7, not 19.63.

J is incorrect because the formula for the circumference of a circle is C = 2ʌU, so C = ��ʌ��§�� 15.7, not 31.4.

9 A is incorrect because d = 55t does represent a car traveling at 55 miles per hour.

B is incorrect because the table shows values of time and distance that do represent a car traveling at 55 miles per hour.

C is correct because a car traveling 160 miles in 3 hours does NOT represent a car traveling at 55 miles per hour.

D is incorrect because the graph does represent a car traveling at 55 miles per hour.

Texas Education Agency Student Assessment Division

September 2017

� � � � � �

� � ��

� � � �

� � � � ��

� � � � ��


Item # Response A/F Response B/G Response C/H Response D/J 10 F is incorrect because 3 liters

= 3,000 milliliters and if there are 29.6 milliliters in 1 fluid ounce, then the number of fluid ounces is 3,000/29.6, which is closest to 101, not 89.

G is correct because 3 liters = 3,000 milliliters and if there are 29.6 milliliters in 1 fluid ounce, then the number of fluid ounces is 3,000/29.6, which is closest to 101.

H is incorrect because 3 liters = 3,000 milliliters and if there are 29.6 milliliters in 1 fluid ounce, then the number of fluid ounces is 3,000/29.6, which is closest to 101, not 10.

J is incorrect because 3 liters = 3,000 milliliters and if there are 29.6 milliliters in 1 fluid ounce, then the number of fluid ounces is 3,000/29.6, which is closest to 101, not 33.

11 A is incorrect because there are 5 blue out of 15 total marbles in the first bag and 2 blue out of 9 total marbles in the second bag, so (5/15)(2/9) = 10/135, which simplifies to 2/27, not 5/9.

B is incorrect because there are 5 blue out of 15 total marbles in the first bag and 2 blue out of 9 total marbles in the second bag, so (5/15)(2/9) = 10/135, which simplifies to 2/27, not 1/135.

C is incorrect because there are 5 blue out of 15 total marbles in the first bag and 2 blue out of 9 total marbles in the second bag, so (5/15)(2/9) = 10/135, which simplifies to 2/27, not 1/6.

D is correct because there are 5 blue out of 15 total marbles in the first bag and 2 blue out of 9 total marbles in the second bag, so (5/15)(2/9) = 10/135, which simplifies to 2/27.

12 F; 11.75 is correct because 47.00 ÷ 4 = 11.75.

G; Students may have multiplied 47.00 x 4 = 188.

13 A is correct because the formula for volume of a rectangular prism is V = Bh, so V = (3)(3)(3) = 27 for each cube, and the combined volume of the two number cubes is 54.

B is incorrect because the formula for volume of a rectangular prism is V = Bh, so V = (3)(3)(3) = 27 for each cube, and the combined volume of the two number cubes is 54, not 18.

C is incorrect because the formula for volume of a rectangular prism is V = Bh, so V = (3)(3)(3) = 27 for each cube, and the combined volume of the two number cubes is 54, not 9.

D is incorrect because the formula for volume of a rectangular prism is V = Bh, so V = (3)(3)(3) = 27 for each cube, and the combined volume of the two number cubes is 54, not 27.

14 F is incorrect because the price was reduced by $15, and 15/60 is 25%, not 15%.

G is correct because the price was reduced by $15, and 15/60 is 25%.

H is incorrect because the price was reduced by $15, and 15/60 is 25%, not 75%.

J is incorrect because the price was reduced by $15, and 15/60 is 25%, not 40%.

15 A is incorrect because (9 + 4 + 3)/50 = 16/50 = 32% of students chose red, yellow, or orange as their favorite color, which is more than 30%.

B is incorrect because 4/50 = 8% of students chose pink as their favorite color, which is less than 1/10 = 10%.

C is correct because 9/50 = 18% of students chose blue as their favorite color.

D is incorrect because (7 + 8 + 6)/50 = 42% of students chose blue as their favorite color, not 2/5 = 40%.

16 F is incorrect because using the equation y = 5x does not generate the correct y values in the table.

G is incorrect because using the equation y = x + 5 does not generate the correct y values in the table.

H is incorrect because using the equation y = x + 470 does not generate the correct y values in the table.

J is correct because using the equation y = 94x generates the correct y values in the table.

17 A is incorrect because the spinner can land on an even number 3 times out of 8. So 3/8 multiplied by 120 times equals 45, not 75.

B is correct because the spinner can land on an even number 3 times out of 8. So 3/8 multiplied by 120 times equals 45.

C is incorrect because the spinner can land on an even number 3 times out of 8. So 3/8 multiplied by 120 times equals 45, not 15.

D is incorrect because the spinner can land on an even number 3 times out of 8. So 3/8 multiplied by 120 times equals 45, not 40.

18 F is correct because the model UHSUHVHQWV��[��VR��[��DQG�GLYLGLQJ�ERWK�VLGHV�E\��VLPSOLILHV�WR�[��

G is incorrect because the PRGHO�UHSUHVHQWV��[��VR��[��DQG�GLYLGLQJ�both sides by 4 simplifies to x ��QRW�[��

H is incorrect because the PRGHO�UHSUHVHQWV��[��VR��[��DQG�GLYLGLQJ�both sides by 4 simplifies to x ��QRW�[��

J is incorrect because the PRGHO�UHSUHVHQWV��[��VR��[��DQG�GLYLGLQJ�both sides by 4 simplifies to x ��QRW�[��


September 2017

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Item # Response A/F Response B/G Response C/H Response D/J 19 A is incorrect because the

area of the semicircle + WULDQJOH�LV�$� ��ʌ��2 + ��§��2 + (1/2)(7)(8) = 53, not 78.

B is incorrect because the area of the semicircle + WULDQJOH�LV�$� ��ʌ��2 + ��§��2 + (1/2)(7)(8) = 53, not 81.

C is incorrect because the area of the semicircle + WULDQJOH�LV�$� ��ʌ��2 + ��§��2 + (1/2)(7)(8) = 53, not 106.

D is correct because the area of the semicircle + triangle is A ��ʌ��2 ��§�(1/2)(3.14)(4)2 + (1/2)(7)(8) = 53.

20 F is incorrect because the monthly savings is 16% of 2,250, which is 360, so the statement is true.

G is incorrect because 35% of 2,250 is 787.5 and 3% of 2,250 is 67.5 for a total of 855, which is less than 900, so the statement is true.

H is correct because 5% of 2,250 is 112.5, 6% of 2,250 is 135, and 11% of 2,250 is 247.5 for a total of 495, not 485, so the statement is NOT true.

J is incorrect because 17.5% of 2,250 is 393.75 and 6.5% of 2,250 is 146.25 for a total of 540, which is more than 530, so the statement is true.

21 A is incorrect because the number of megabytes can be found using the proportion 264/528 = 35/x, which simplifies to x = 70, not 18.

B is correct because the number of megabytes can be found using the proportion 264/528 = 35/x, which simplifies to x = 70.

C is incorrect because the number of megabytes can be found using the proportion 264/528 = 35/x, which simplifies to x = 70, not 8.

D is incorrect because the number of megabytes can be found using the proportion 264/528 = 35/x, which simplifies to x = 70, not 23.

22 F; 18 is correct because the formula for volume of a triangular prism is V = Bh, so the area of the base can be found using B(12) = 216, and dividing both sides by 12 simplifies to B = 18.

G; Students may have multiplied 216(12) = 2,592, instead of dividing 216 by 12.

23 A is correct because 3 3/4 bags times 125.3 square feet = 3.75(125.3) = 469.875.

B is incorrect because 3 3/4 bags times 125.3 square feet = 3.75(125.3) = 469.875, not 375.225.

C is incorrect because 3 3/4 bags times 125.3 square feet = 3.75(125.3) = 469.875, not 407.225.

D is incorrect because 3 3/4 bags times 125.3 square feet = 3.75(125.3) = 469.875, not 418.502.

24 F is incorrect because 2x + (3x - 10) + 50 = 180, which simplifies to 5x = 140, and dividing both sides by 5 simplifies to x = 28, not 25.

G is incorrect because 2x + (3x - 10) + 50 = 180, which simplifies to 5x = 140, and dividing both sides by 5 simplifies to x = 28, not 20.

H is incorrect because 2x + (3x - 10) + 50 = 180, which simplifies to 5x = 140, and dividing both sides by 5 simplifies to x = 28, not 10.

J is correct because 2x + (3x -10) + 50 = 180, which simplifies to 5x = 140, and dividing both sides by 5 simplifies to x = 28.

25 A is incorrect because the graph shows that every 4 feet on the statue is equal to 4 inches on the model.

B is incorrect because the graph shows that every 2 feet on the statue is equal to 12 inches on the model.

C is correct because the graph shows that every 1 foot on the statue is equal to 2 inches on the model.

D is incorrect because the graph shows that every 12 feet on the statue is equal to 2 inches on the model.

26 F is correct because 25% of 30, which is 7.5, is used on games and 5% of 30, which is 1.5, is used on research. The difference in hours is 7.5 - 1.5 = 6.

G is incorrect because 25% of 30, which is 7.5, is used on games and 5% of 30, which is 1.5, is used on research. The difference in hours is 7.5 - 1.5 = 6, not 20.

H is incorrect because 25% of 30, which is 7.5, is used on games and 5% of 30, which is 1.5, is used on research. The difference in hours is 7.5 - 1.5 = 6, not 7.5.

J is incorrect because 25% of 30, which is 7.5, is used on games and 5% of 30, which is 1.5, is used on research. The difference in hours is 7.5 - 1.5 = 6, not 1.5.

27 A is incorrect because 30.16 = 17.56 + 5x, which simplifies to 12.6 = 5x, and dividing both sides by 5 simplifies to x = 2.52, not 6.032.

B is incorrect because 30.16 = 17.56 + 5x, which simplifies to 12.6 = 5x, and dividing both sides by 5 simplifies to x = 2.52, not 3.512.

C is incorrect because 30.16 = 17.56 + 5x, which simplifies to 12.6 = 5x, and dividing both sides by 5 simplifies to x = 2.52, not 12.6.

D is correct because 30.16 = 17.56 + 5x, which simplifies to 12.6 = 5x, and dividing both sides by 5 simplifies to x = 2.52.


September 2017

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Item # Response A/F Response B/G Response C/H Response D/J 28 F is incorrect because there

are 32 possible seats at tables with red tablecloths out of a total of 96 possible seats. The probability is 32/96 = 1/3, not 1/2.

G is correct because there are 32 possible seats at tables with red tablecloths out of a total of 96 possible seats. The probability is 32/96 = 1/3.

H is incorrect because there are 32 possible seats at tables with red tablecloths out of a total of 96 possible seats. The probability is 32/96 = 1/3, not 1/4.

J is incorrect because there are 32 possible seats at tables with red tablecloths out of a total of 96 possible seats. The probability is 32/96 = 1/3, not 1/8.

29 A is incorrect because the total surface area is the sum of all the rectangular areas found in the net which is 2(7.5)(11.5) + 2(3)(7.5) + 2(3)(11.5) = 286.5, not 143.25.

B is incorrect because the total surface area is the sum of all the rectangular areas found in the net which is 2(7.5)(11.5) + 2(3)(7.5) + 2(3)(11.5) = 286.5, not 241.5.

C is incorrect because the total surface area is the sum of all the rectangular areas found in the net which is 2(7.5)(11.5) + 2(3)(7.5) + 2(3)(11.5) = 286.5, not 258.75.

D is correct because the total surface area is the sum of all the rectangular areas found in the net which is 2(7.5)(11.5) + 2(3)(7.5) + 2(3)(11.5) = 286.5.

30 F; 9127.50 is correct because 6% of 152,125 is (0.06)(152,125) = 9,127.5.

G; Students may have placed the decimal point incorrectly in the grid as 912.75.

31 A is incorrect because 180 -12 frogs do not have spots, so using the proportion 168/180 = x/1,200, which simplifies to x = 1,120, not 80.

B is incorrect because 180 -12 frogs do not have spots, so using the proportion 168/180 = x/1,200, which simplifies to x = 1,120, not 168.

C is incorrect because 180 -12 frogs do not have spots, so using the proportion 168/180 = x/1,200, which simplifies to x = 1,120, not 1,280.

D is correct because 180 - 12 frogs do not have spots, so using the proportion 168/180 = x/1,200, which simplifies to x = 1,120.

32 F is incorrect because the formula for area of a circle is A �ʌU2��VR�$� �ʌ��2 §��2

= 200.96, not 100.48.

G is incorrect because the formula for area of a circle is A �ʌU2��VR�$� �ʌ��2 §��2

= 200.96, not 50.24.

H is correct because the formula for area of a circle is A �ʌU2��VR�$� �ʌ��2 §��2

= 200.96.

G is incorrect because the formula for area of a circle is A �ʌU2��VR�$� �ʌ��2 §��2

= 200.96, not 803.84.

33 A is correct because 1.25 each for x cups of lemonade minus 6.50 for supplies is more than 50; this can be represented by 1.25x - 6.50 > 50.

B is incorrect because 1.25 each for x cups of lemonade minus 6.50 for supplies is more than 50, this can be represented by 1.25x - 6.50 > 50, not 1.25x + 6.50 > 50.

C is incorrect because 1.25 each for x cups of lemonade minus 6.50 for supplies is more than 50; this can be represented by 1.25x - 6.50 > 50, not 1.0125x - 6.50 > 50.

D is incorrect because 1.25 each for x cups of lemonade minus 6.50 for supplies is more than 50, this can be represented by 1.25x - 6.50 > 50, not 1.25 + 6.50x > 50.

34 F is incorrect because the distribution of the data for Team A and Team B are not approximately symmetrical.

G is incorrect because the median height of the players on Team B, which is 79, is greater than the median height of the players on Team A, which is 78.

H is correct because the range of player heights on Team B, which is 12, is greater than the range of player heights on Team A, which is 11.

J is incorrect because the mode height of the players on Team B, which is 80, is greater than the mode height of the players on Team A, which is 78.

35 A; 70 is correct because if 1 centimeter represents 20 kilometers, then 3.5(20) = 70.

B; Students may have multiplied 3.5(20) incorrectly to get 60.5.

36 F is incorrect because the amount of fabric can be found using 10 ½ - (2 ½ + 4 ¼) = 3 ¾, not 4 ¼.

G is incorrect because the amount of fabric can be found using 10 ½ - (2 ½ + 4 ¼) = 3 ¾, not 3 ¼.

H is correct because the amount of fabric can be found using 10 ½ - (2 ½ + 4 ¼) = 3 ¾.

J is incorrect because the amount of fabric can be found using 10 ½ - (2 ½+ 4 ¼) = 3 ¾, not 6 ¾.


September 2017


Item # Response A/F Response B/G Response C/H Response D/J 37 A is correct because the

probability of randomly selecting a daisy from Bouquet S, which is 13/30, is less than the probability of selecting a daisy from Bouquet T, which is 13/13 or 1.

B is incorrect because the probability of selecting a daisy in Bouquet S is 13/30, not 1.

C is incorrect because the probability of randomly selecting a daisy from Bouquet S, which is 13/30, is not equal to the probability of selecting a daisy from Bouquet T, which is 13/13 or 1.

D is incorrect because the probability of randomly selecting a daisy from Bouquet S is 13/30, not 1/3.

38 F is incorrect because the total cost of the trip, y, is equal to the initial charge of 2.50 plus 2.65 multiplied by the number of miles, x. This situation is represented by the equation y = 2.65x + 2.50, not y = 2.50x + 2.65.

G is incorrect because the total cost of the trip, y, is equal to the initial charge of 2.50 plus 2.65 multiplied by the number of miles, x. This situation is represented by the equation y = 2.65x + 2.50, not y = 2.65(x + 2.50).

H is incorrect because the total cost of the trip, y, is equal to the initial charge of 2.50 plus 2.65 multiplied by the number of miles, x. This situation is represented by the equation y = 2.65x + 2.50, not y = 2.65x - 2.50.

J is correct because the total cost of the trip, y, is equal to the initial charge of 2.50 plus 2.65 multiplied by the number of miles, x. This situation is represented by the equation y = 2.65x + 2.50.

39 A is incorrect because similar figures are not necessarily the same size, but are the same shape.

B is incorrect because similar figures are not necessarily the same size, but are the same shape.

C is correct because the corresponding angles in similar figures are congruent.

D is incorrect because the lengths of corresponding sides in similar figures are proportional.

40 F is incorrect because the number of girls who like country music, which is 10, is equal to the number of girls who like rap and rock music combined, which is 4 + 6 = 10.

G is incorrect because the number of girls who like rock music, which is 6, is equal to the number of boys who like rock music, which is 6.

H is incorrect because the number of boys who like country music, which is 3, is less than the number of boys who like rock music, which is 6.

J is correct because the number of boys who like rock music, which is 6, is more than the number of girls who like rap music, which is 4.


September 2017

Grade 7 Mathematics Assessment

Eligible Texas Essential Knowledge and Skills


January 2014

STAAR Grade 7 Mathematics Assessment

Mathematical Process Standards These student expectations will not be listed under a separate reporting category. Instead, they will be incorporated into test questions across reporting categories since the application of mathematical process standards is part of each knowledge statement. (7.1) Mathematical process standards. The student uses mathematical

processes to acquire and demonstrate mathematical understanding. The student is expected to

(A) apply mathematics to problems arising in everyday life, society, and the workplace;

(B) use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;

(C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;

(D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;

(E) create and use representations to organize, record, and communicate mathematical ideas;

(F) analyze mathematical relationships to connect and communicate mathematical ideas; and

(G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

STAAR Grade 7 Mathematics Page 2 of 9 Texas Education Agency

Student Assessment Division January 2014



Reporting Category 1: Probability and Numerical Representations The student will demonstrate an understanding of how to represent probabilities and numbers. (7.2) Number and operations. The student applies mathematical process

standards to represent and use rational numbers in a variety of forms. The student is expected to

(A) extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers. Supporting Standard

(7.6) Proportionality. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships. The student is expected to

(A) represent sample spaces for simple and compound events using lists and tree diagrams; Supporting Standard

(C) make predictions and determine solutions using experimental data for simple and compound events; Supporting Standard

(D) make predictions and determine solutions using theoretical probability for simple and co mpound events; Supporting Standard

(E) find the probabilities of a simple event and its complement and describe the relationship between the two; Supporting Standard

(H) solve problems using qualitative and quantitative predictions and comparisons from simple experiments; and Readiness Standard

(I) determine experimental and theoretical probabilities related to simple a nd compound events using data and sample s paces. Readiness Standard



Reporting Category 2: Computations and Algebraic Relationships The student will demonstrate an understanding of how to perform operations and represent algebraic relationships. (7.3) Number and operations. The student applies mathematical process

standards to add, subtract, multiply, and divide while solving problems and justifying solutions. The student is expected t o

(A) add, subtract, multiply, and divide rational numbers fluently; and Supporting Standard

(B) apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers. Readiness Standard

(7.4) Proportionality. The student applies mathematical process standards to represent and solve problems involving proportional relationships. The student is expected to

(A) represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt; Readiness Standard

(B) calculate unit rates from rates in mathematical and real-world problems; Supporting Standard

(C) determine the constant of proportionality (k = y/x) within mathematical and real-world problems; and Supporting Standard

(D) solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems. Readiness Standard

(7.7) Expressions, equations, and relationships. The student applies mathematical process standards to represent linear relationships using multiple representations. The student is expected to

(A) represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b. Readiness Standard



(7.10) Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations and inequalities to represent situations. The s tudent is expected to

(A) write one-variable, two-step equations and inequalities to represent constraints or conditions within problems; Supporting Standard

(B) represent solutions for one-variable, two-step equations and inequalities on number lines; and Supporting Standard

(C) write a corresponding real-world problem given a one-variable, two-step equation or inequality. Supporting Standard

(7.11) Expressions, equations, and relationships. The student applies mathematical process standards to solve one-variable equations and inequalities. The s tudent is expected to

(A) model and solve one-variable, two-step equations and inequalities; and Readiness Standard

(B) determine if the given value(s) make(s) one-variable, two-step equations and inequalities true. Supporting Standard



Reporting Category 3: Geometry and Measurement The student will demonstrate an understanding of how to represent and apply geometry and measurement concepts. (7.4) Proportionality. The student applies mathematical process standards to

represent and solve problems involving proportional relationships. The student is expected to

(E) convert between measurement systems, including the use of proportions and the use of unit rates. Supporting Standard

(7.5) Proportionality. The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships. The student is expected to

(A) generalize the critical attributes of similarity, including ratios within and between similar shapes; Supporting Standard

(B) describe � as the ratio of the circumference of a circle to its diameter; and Supporting Standard

(C) solve mathematical and real-world problems involving similar shape and scale drawings. Readiness Standard

(7.9) Expressions, equations, and relationships. The student applies mathematical process standards to solve geometric problems. The student is expected to

(A) solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids; Readiness Standard

(B) determine the circumference and area of circles; Readiness Standard

(C) determine the area of composite figures containing co mbinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles; and Readiness Standard

(D) solve problems involving the lateral and total surface area o f a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape’s net. Supporting Standard



(7.11) Expressions, equations, and relationships. The student applies mathematical process standards to solve one-variable equations and inequalities. The student is expected to

(C) write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships. Supporting Standard



Reporting Category 4: Data Analysis and Personal Financial Literacy The student will demonstrate an understanding of how to represent and analyze data and how to describe and apply personal financial concepts. (7.6) Proportionality. The student applies mathematical process standards to

use probability and statistics to describe or solve problems involving proportional relationships. The student is expected to

(G) solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents. Readiness Standard

(7.12) Measurement and data. The student applies mathematical process standards to use statistical representations to analyze data. The student is expected to

(A) compare two groups of numeric data u sing co mparative dot plots or box plots by comparing their shapes, centers, and spreads; Readiness Standard

(B) use data from a random sample to make inferences about a population; and Supporting Standard

(C) compare two populations based o n data in random samples from these populations, including informal comparative inferences about differences between the two populations. Supporting Standard

(7.13) Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one’s life as a knowledgeable consumer and investor. The student is expected to

(A) calculate the sales tax for a given purchase and calculate income tax for earned wages; Supporting Standard

(B) identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget; Supporting Standard

(C) create and organize a financial assets and liabilities record and construct a n et worth statement; Supporting Standard



(D) use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student’s city or another large city nearby; Supporting Standard

(E) calculate and compare simple interest and compound interest earnings; and Supporting Standard

(F) analyze and compare monetary incentives, including sales, rebates, and coupons. Supporting Standard

Documents

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