miami arts charter schoolmiamiartscharter.net/ourpages/auto/2012/12/11/50556382/eoc alge… ·...

Student Name: ______________________

Teacher: ______________________ Date: ___________

District: Miami-Dade County Public Schools

Assessment: 9_12 Mathematics Algebra I Benchmark 1

Description: Descriptive Statistics ETO

Form: 201

1. The table below shows the number of customers that visits a store at different times ofthe day.

Which histogram correctly displays the given data?

MAFS.912.S-ID.1.1Webb: 1

1

A.

B.

C.

2

D.

2. The table below shows the number of students in each grade at Lincoln High School andwhether they attended a football game.

Freshman Sophomore Junior Senior

Attended 48 90 224 254

Did NOTAttend 182 141 36 8

Which of these statements can be concluded based on the table?MAFS.912.S-ID.2.5Webb: 2

A. Of the students who did not attend the game, 8.0% are seniors. B. Of the students who attended the game, 22.8% are juniors. C. Of the students who attended the game, 46.9% are freshmen or sophomores. D. Of the students who attended the game, 77.6% are juniors or seniors.

3. The table below compares the annual salaries of 5 employees from two differentcompanies. At which company would an employee be expected to be paid a higher salaryand which measure of central tendency is the best indication of this conclusion?

3


A. company A based on the mean B. company B based on the mean C. company A based on the median D. company B based on the median

4. The two data sets below show the heights, in inches, of five students chosen at randomfrom two different classes.

Based on these data, which statement best explains which class has taller students?MAFS.912.S-ID.1.2Webb: 2

A. Class A has taller students because it has a larger median. B. Class B has taller students because it has a larger median and mean. C. Class A has taller students because it has the student with the tallest height.

D. Class B has taller students because it has no students with heights of fewer than 60inches.

5. Amy kept track of the number of minutes each of her friends could stand on one foot. Sheassembled the data into the following set:

Which set has the same inter-quartile range as S, but has a different median?MAFS.912.S-ID.1.2Webb: 2

A. The set consisting of each element of S plus 4:

4

B. The set consisting of each element of S doubled:

C. The set consisting of each element of S squared:

D. The set consisting of the elements of S except the least and greatest elements:

6. The temperatures in two different cities were recorded each hour throughout the same24-hour period. The points representing these data were connected to form the curvesshown in the graphs below.

5

Which statement best describes which city experienced the most extreme temperaturechange throughout this 24-hour period?


A. City P had a more extreme temperature change because the temperatures have alarger range.

B. City M had a more extreme temperature change because the median temperatureoccurs later in the day.

C. City P had a more extreme temperature change because the temperatures reach ahigher maximum point in this city.

D. City M had a more extreme temperature change because the range of temperatures islarger for this city after reaching the maximum.

7. Samantha is conducting a study on how many hours her classmates spend watching TV inone week. Samantha surveyed half of her class. The following data set shows her results.

5, 6, 6, 7, 8, 9, 10, 11, 7, 8, 12, 12, 14, 4, 13, 22, 26

Which statement is the best interpretation of the data?MAFS.912.S-ID.1.3Webb: 2

A. The best estimate for the number of hours Samantha’s classmates spend watching TVper week should be found by finding the mean of the data set.

B. The best estimate for the number of hours Samantha’s classmates spend watching TVper week should be found by finding the median of the data set.

C. The best estimate for the number of hours Samantha’s classmates spend watching TVper week should be found by finding the mean of the data set after removing theoutlier of 4.

D. The best estimate for the number of hours Samantha’s classmates spend watching TVper week should be found by finding the median of the data set after the outliers of 22and 26 are removed.

8. The two-way frequency table shows the male and female students at Central High Schoolwho have afterschool jobs.

6

Which statement best describes which gender at Central High School is more likely tohave an afterschool job and why?


A. A boy is more likely to have a job because there are more boys with a job. B. A boy is more likely to have a job because the total number of boys is larger. C. A girl is more likely to have a job because there are fewer girls with no jobs. D. A girl is more likely to have a job because a greater percentage of girls have jobs.

9. The histogram below shows the ages of the members of a club.

Which of these correctly describes the data shown in the histogram?MAFS.912.S-ID.1.3Webb: 1

A. The club is more desirable to an older audience because the data are skewed to theright.

B. The club is more desirable to an older audience because the data are skewed to theleft.

C. The club is equally desirable to all age groups because the data are uniformlydistributed.

7

D. The club is equally desirable to all age groups because the data are symmetric.

10. Class A and Class B, each with ten students, have taken a recent exam. The exam scoresfor the students in each class are listed here.

Exam scores of students in Class A:

Exam scores of students in Class B:

Which analysis is correct?MAFS.912.S-ID.1.2Webb: 2

A. Class A has a greater standard deviation and mean of student scores than class B. B. Class A has a greater inter-quartile range and median of student scores than Class B. C. Class A has a smaller standard deviation and mean of student scores than Class B. D. Class A has a shorter range and lower mode than Class B.

11. The two-way relative frequency table below represents the relationship between thenumber of sports played and the gender of the students playing each of these sports ata high school.

Which of these interpretations about the data is NOT correct?MAFS.912.S-ID.2.5Webb: 2

A. 7.89% of females do not play any sport. B. 8% of the students do not play any sport. C. 50% of the males play exactly two sports. D. 5% of the students who play no sports are male.

12. The table below shows the results of a survey conducted among the employees of acompany to find their preferred choices for investments.

8

Which marginal frequency is the greatest?MAFS.912.S-ID.2.5Webb: 1

A. Employees who want to invest in bonds. B. Employees whose age is 40 years or more. C. Employees whose age is less than 40 years. D. Employees who want to invest in fixed deposits.

13. A card store sells greeting cards that range from less than $1 to $10. The histogrambelow shows the distribution of cards throughout several price ranges and wasdetermined to be the most accurate way of representing these data.

9

Which of these most likely describes the data shown in the histogram?MAFS.912.S-ID.1.1Webb: 2

A. The cards are grouped into five intervals according to price. The prices of the cardsvary within each interval, and the highest frequency is 21.

B. The cards are grouped into twenty-two intervals according to price. The prices of thecards vary within each interval, and the highest frequency is 10.

C. The cards are grouped into five intervals according to price. The prices of the cards arelimited to a few whole number values, and the highest frequency is 21.

D. The cards are grouped into twenty-two intervals according to price. The prices of thecards are limited to a few whole number values, and the highest frequency is 10.

14. A survey was conducted among a group of college students to find the amount of timethey spend online every day. The results are shown below.

What is the conditional relative frequency, to the nearest hundredth, of the girls whospend less than 3 hours online each day?


A. 0.22 B. 0.26 C. 0.38 D. 0.65

15. Mr. Morris gave his algebra class a test, the results of which are listed below.

68, 92, 74, 75, 86, 90, 92, 81, 60, 82, 77, 80

Shania was absent on the day of the test and had to take the test on a date after thescores were first posted. She earned a score of 99. Which measure of the class's testresults did Shania's score most change?

MAFS.912.S-ID.1.3 10

Webb: 2

A. interquartile range B. mean C. median D. range

16. The data below show the distance, in miles, traveled by a taxicab each day over a periodof 7 days.

190, 200, 200, 220, 210, 240, 250

Which box plot best represents the data?MAFS.912.S-ID.1.1Webb: 2

A.

B.

C.

D.

17. Janelia rolled a fair number cube numbered 1 through 6 a total of 23 times. The listshows her outcomes.

11

5, 6, 1, 1, 2, 4, 4, 5, 6, 3, 5, 4, 1, 2, 2, 3, 5, 2, 4, 6, 3, 5, 6

Which line plot represents Janelia's outcomes?MAFS.912.S-ID.1.1Webb: 1

A.

B.

C.

D.

18. The students in Ms. Rodriguez's 3rd period and 5th period classes worked on groupprojects. The tables below show the grade received by each group in both classes.

12

Ms. Rodriguez wants to compare the median of the 3rd period group project grades withthe median of the 5th period group project grades. Which graph or graphs would beMOST appropriate for a comparison of the medians?


A.

B.

C.

13

D.

14

Student Name: ______________________

Teacher: ______________________ Date: ___________


Assessment: 9_12 Mathematics Algebra I Exam 1

Description: ALG I Topic 2 Test: Equations and Inequalities

Form: 201

1. Which expresses all the solutions for this inequality?

MACC.912.A-REI.2.3Webb: 2

A. B. C. D.

2. An equation for determining the distance, d, a plane travels at rate, r, in a direction with an average tailwindof 10 miles per hour is shown below.

Which equation is equivalent to when solved for r?MACC.912.A-CED.1.4Webb: 2

A.

B.

C.

D.

3. Which equation shows correctly solved for b?

MAFS.912.A-REI.2.3Webb: 1

A. 15

B.

C.

D.

4. Xian is planning a party at the skating rink. The cost for each person attending is $3.50 for skate rental and$5.00 for food. Xian cannot spend more than $300. Which inequality could be used to find the greatestnumber of people, p, that can attend?

MAFS.912.A-CED.1.3Webb: 2

A. B. C. D.

5.Which expression is equivalent to

MACC.912.N-RN.1.2Webb: 2

A.

B.

C.

D.

6. The equation below is used to find C, the total cost for printing a quantity of books (b).

Which equation is equivalent equation solved for b in terms of C?MACC.912.A-CED.1.4Webb: 1

A.

B.

C.

D. 16

7. Sam has $32. He is planning to save the same amount of money every week for 8 weeks so that he can buy acalculator that costs $120. How much does he need to save every week?


A. $3 B. $11 C. $15 D. $19

8. Which of these, when simplified, represents an irrational number?MAFS.912.N-RN.2.3Webb: 1

A. because the product of two rational numbers is irrational

B. because the product of two irrational numbers is irrational

C. because the product of a rational and an irrational number is irrational

D. because the product of an irrational and a rational number is irrational

9. Which expression is equivalent to

MAFS.912.N-RN.1.2Webb: 2

A.

B.

C.

D.

10. A driver has to make a 170-mile trip. She drives nonstop at an average speed of 45 miles per hour. Which ofthe following equations could be used to find the time (t) it takes her to complete her trip?

MACC.912.A-CED.1.117

Webb: 2

A. B. C.

D.

11. An electronics store received two shipments of radios. Of the 250 radios in the first shipment, exactly 6%were damaged. In the second shipment, 4% of the radios were damaged. A total of 24 radios were damaged.How many radios in the combined shipments were not damaged?

MACC.912.A-CED.1.1Webb: 2

A. 441 B. 451 C. 460 D. 466

12. An artist bought twine for a project, and she traveled by bus when shopping for the twine. The total cost ofher project, $17.50, included both the cost of the 5.8 yards of twine she bought and $3 in bus fares. Which ofthese shows the correct equation to determine the cost of the twine per yard along with the correct solution?


A.

B.

C.

D.

13. A school is collecting canned food as a service project. There are 30 classes participating in the project. Thegoal is to collect more than 1,000 canned food items. If each class collects the same number of cans, what isthe least number of cans each class must collect to meet the goal?


A. 30 B. 33 C. 34

18

D. 40

14. The steps used to solve an equation are shown below.

Which property can be used to justify Step 4?MAFS.912.A-REI.1.1Webb: 1

A. Commutative Property of Addition B. Subtraction Property of Equality C. Addition Property of Equality D. Inverse Operation Property

15. The steps used to solve the equation are shown below.

Which property is incorrectly used?MAFS.912.A-REI.1.1Webb: 1

A. distributive property B. division property of equality C. addition property of equality D. subtraction property of equality

19

16. Which process was used to obtain the equation shown in Step 2?


A. added to both sides of the equation B. added 5 to both sides of the equation C. multiplied both sides of the equation by 12 D. divided both sides of the equation by 12

17. A school band’s budget for next year will be at least $11,340 and at most $12,390. The band will set aside$420 for new music stands and $8,400 for travel and other expenses. They will use the rest to buy 42 newuniforms. Which inequality shows the range of possible values of x, the dollar amount the band can spendper uniform?


A. B. C. D.

18. The Cervantes family is taking a road trip. They plan to stop for 30 minutes every 2 hours. They drive an

average of 63 mph. An equation representing their total time (in hours) is , where d is thedistance, r is the rate, s is the number of stops, and t is the time. How far will they travel after 14 hours with5 stops?


A. 787.5 miles B. 756.0 miles C. 724.5 miles D. 693.0 miles

19.Solve for q.

20


A.

B.

C. D.

20. The equation shows how Bobby determined the product of two rational numbers.

Bobby concluded that the product of two rational numbers is also rational. Which of the mathematicalstatements did Bobby use to arrive at that conclusion?

I The set of integers is closed under addition.II The set of integers is closed under multiplication.III A rational number can be written as the ratio of two integers.

MACC.912.N-RN.2.3Webb: 1

A. II only B. III only C. II and III only D. I, II, and III

21. Wendy solved an equation and found x to be 5. Which equation could she have solved?MACC.912.A-REI.2.3Webb: 1

A. B. C. D.

22. Gina works for a cup packaging company that has derived the equation to determine h, theheight in centimeters of a stack of n cups. If Gina wants the package to hold a single stack of cups with aheight of no more than 50 centimeters, what is the range for the number of cups the package may hold?


21

A. B. C. D.

23. Alan has a business mowing lawns for $20 per lawn and raking leaves for $0.75 per pile. His goal is to earnexactly $30 each time he mows a lawn and rakes leaves. If x represents the number of piles of leaves, whichequation models Alan’s goal?


A. B. C. D.

24. Which process was used to obtain the equation shown in Step 2?

Step 1:

Step 2: MACC.912.A-REI.1.1Webb: 1

A. added to both sides of the equation B. added 66 to both sides of the equation C. divided both sides of the equation by 12 D. multiplied both sides of the equation by 12

22

Student Name: ______________________

Teacher: ______________________ Date: ___________



Description: Algebra 1 Topic 3

Form: 201

1. Ana is making a survey of the typical amount paid in property taxes for the houses indifferent neighborhoods. The property tax is based on the listed price of the house. Thetables below show the prices of eight houses on Amber Street and Pine Street.

Which statistical measure would be best for Ana to use in comparing the typical amountpaid in property taxes for the houses on these two streets?


A. mean B. median C. mode D. range

2. The box-and-whisker plots below show the distribution of math test scores of students intwo different classes with the same, odd number of students.

23

Which statement best compares the performance of class A and class B on this mathtest?


A. All students in class A performed better than all students in class B. B. All students in class B performed better than all students in class A.

C. The majority of students in class A performed better than the majority of students inclass B.

D. The majority of students in class B performed better than the majority of students inclass A.

3. Class A and Class B, each with ten students, have taken a recent exam. The exam scoresfor the students in each class are listed here.

Exam scores of students in Class A:

Exam scores of students in Class B:

Which analysis is correct?MAFS.912.S-ID.1.2Webb: 2

A. Class A has a greater mean of student scores than Class B. B. Class A has a greater inter-quartile range of student scores than Class B. C. Class A has a smaller median of student scores than Class B. D. Class A has a shorter range and lower mode than Class B.

4. The table below shows the number of students in each grade at Lincoln High School andwhether they attended a football game.

Freshman Sophomore Junior Senior24

Attended 48 90 224 254

Did NOTAttend 182 141 36 8

Which of these statements can be concluded based on the table?MAFS.912.S-ID.2.5Webb: 2

A. Of the students who did not attend the game, 8.0% are seniors. B. Of the students who attended the game, 22.8% are juniors. C. Of the students who attended the game, 46.9% are freshmen or sophomores. D. Of the students who attended the game, 77.6% are juniors or seniors.

5. The table below shows the results of a survey conducted among the employees of acompany to find their preferred choices for investments.

Which marginal frequency is the greatest?MAFS.912.S-ID.2.5Webb: 1

A. Employees who want to invest in bonds. B. Employees whose age is 40 years or more. C. Employees whose age is less than 40 years. D. Employees who want to invest in fixed deposits.

6. The tables below show the number of goals scored each half of a game by two teams inan indoor soccer tournament last season. 25

Which statement best compares the number of goals scored per game by both teams?MAFS.912.S-ID.1.2Webb: 1

A. The mean score per game for team A is 0.4 more than for team B. B. The mean score per game for team A is 0.2 more than for team B. C. The mean score per game for team A is 1 more than for team B. D. The mean score per game for team A is 2 more than for team B.

7. The temperatures in two different cities were recorded each hour throughout the same24-hour period. The points representing these data were connected to form the curvesshown in the graphs below.

26

Which statement best describes which city experienced the greatest temperaturechange throughout this 24-hour period?


A. City P had the greatest temperature change because the temperatures have a largerrange.

B. City M had the greatest temperature change because the median temperature occurslater in the day.

C. City P had the greatest temperature change because the temperatures reach a highermaximum point in this city.

D. City M had the greatest temperature change because the range of temperatures islarger for this city after reaching the maximum.

8. The table below shows the number of customers that visits a store at different times ofthe day.

27

Which histogram correctly displays the given data?


A.

28

B.

C.

D.

29

9. The kinetic energy, E, of an object having mass m and moving with velocity v is given bythe formula Which expression can be used to find the velocity?


A.

B.

C.

D.

10. The two-way relative frequency table below represents the relationship between thenumber of sports played and the gender of the students playing each of these sports ata high school.

Which of these interpretations about the data is NOT correct?MAFS.912.S-ID.2.5Webb: 2

A. 7.89% of females do not play any sport. B. 8% of the students do not play any sport. C. 50% of the males play exactly two sports. D. 5% of the students who play no sports are male.

11.Which is a simplified value of the expression


30

A.

B.

C.

D.

12. Sam has $32. He is planning to save the same amount of money every week for 8 weeksso that he can buy a calculator that costs $120. How much does he need to save everyweek?


A. $3 B. $11 C. $15 D. $19

13. The histogram below shows the ages of the members of a club.

Which of these correctly describes the data shown in the histogram?MAFS.912.S-ID.1.3Webb: 1

A. The club is more desirable to an older audience because the data are skewed to theright.

B. The club is more desirable to an older audience because the data are skewed to theleft.

31

C. The club is equally desirable to all age groups because the data are uniformlydistributed.

D. The club is equally desirable to all age groups because the data are symmetric.

14. The two data sets below show the heights, in inches, of five students chosen at randomfrom two different classes.

Based on these data, which statement best explains which class has taller students?MAFS.912.S-ID.1.2Webb: 2

A. Class A has taller students because it has a larger median. B. Class B has taller students because it has a larger median and mean. C. Class A has taller students because it has the student with the tallest height.

D. Class B has taller students because it has no students with heights of fewer than 60inches.

15. The heights in inches of a college women’s basketball team are listed below.

72, 65, 68, 75, 72, 74, 70, 66, 65, 75, 71, 66

Which histogram correctly represents these data?MAFS.912.S-ID.1.1Webb: 1

32

A.

B.

C.

33

D.

16. The two-way frequency table below shows the favorite after-school activities of 50eighth-grade students.

Based on the data from the table, which conclusion is correct?MAFS.912.S-ID.2.5Webb: 2

A. Boys have a greater preference for track than basketball. B. Girls have a greater preference for dance than boys. C. For both boys and girls, track has greater appeal than dance. D. Dance and track appear to have equal appeal to girls.

17. Dave records the number of hours he spent watching television each day for a period of10 days as shown.

5, 1, 2, 6, 3, 4, 7, 8, 10, 4

Which box-and-whisker plot represents the data he recorded?MAFS.912.S-ID.1.1Webb: 2

34

A.

B.

C.

D.

18. A survey was conducted among a number of students in a school to find their favoritecolor. The results are shown below.

What is the probability that a randomly chosen student is a girl who likes the colorblue?Round to the nearest hundredth.


A. 0.11 B. 0.18 C. 0.22 D. 0.42

19. A card store sells greeting cards that range from less than $1 to $10. The histogrambelow shows the distribution of cards throughout several price ranges and was

35

determined to be the most accurate way of representing these data.

Which of these most likely describes the data shown in the histogram?MAFS.912.S-ID.1.1Webb: 2

A. The cards are grouped into five intervals according to price. The prices of the cardsvary within each interval, and the highest frequency is 21.

B. The cards are grouped into twenty-two intervals according to price. The prices of thecards vary within each interval, and the highest frequency is 10.

C. The cards are grouped into five intervals according to price. The prices of the cards arelimited to a few whole number values, and the highest frequency is 21.

D. The cards are grouped into twenty-two intervals according to price. The prices of thecards are limited to a few whole number values, and the highest frequency is 10.

20. Amy kept track of the number of minutes each of her friends could stand on one foot. Sheassembled the data into the following set:

Which set has the same inter-quartile range as S, but has a different median?MAFS.912.S-ID.1.2Webb: 2

36

A. The set consisting of each element of S plus 4:

B. The set consisting of each element of S doubled:

C. The set consisting of each element of S squared:

D. The set consisting of the elements of S except the least and greatest elements:

21. Mr. Morris gave his algebra class a test, the results of which are listed below.

68, 92, 74, 75, 86, 90, 92, 81, 60, 82, 77, 80

Shania was absent on the day of the test and had to take the test on a date after thescores were first posted. She earned a score of 99. Which measure of the class's testresults did Shania's score most change?


A. interquartile range B. mean C. median D. range

22. Thomas spent two weeks at a lakeside cabin and went fishing every day. The tablebelow shows the number of fish he caught each day of the two-week period.

If he had caught x fewer fish on one of the days of Week 1, both sets of data wouldhave the same range. What is the value of x?


A. 1 B. 2 C. 7 D. 9 37

23. The dot plots below show the number of sales made by Jason and Shane at work overthe past seven days.

Which observation about the data sets is correct?MAFS.912.S-ID.1.3Webb: 2

A. The data for the number of sales made by Jason are uniform and have no outliers; thedata of Shane’s sales are symmetrical and have no outliers.

B. The data for the number of sales made by Jason are symmetrical and have no outliers;the data of Shane’s sales are uniform and have no outliers.

C. The data for the number of sales made by Jason are uniform and have outliers; thedata of Shane’s sales are symmetrical and have outliers.

D. The data for the number of sales made by Jason are symmetrical and have outliers;the data of Shane’s sales are uniform and have outliers.

24. The sale prices of houses in two towns are said to have positively and negativelyskewed distribution such as the ones illustrated below.

Which statement must be true?MAFS.912.S-ID.1.2Webb: 2

38

A. The median of Town 1 is smaller than the median of Town 2. B. The mean of Town 1 is smaller than the mean of Town 2. C. The medians of Town 1 and Town 2 are the same. D. The means of Town 1 and Town 2 are the same.

25. The table below shows the heights, in inches, of the players on a women’s basketballteam and the players on a men’s basketball team.

Which image represents the given data correctly in a box-and-whisker plot?MAFS.912.S-ID.1.1Webb: 2

A.

B.

C.

39

D.

40

Student Name: ______________________

Teacher: ______________________ Date: ___________



Description: Algebra 1 Topic IV Test

Form: 201

1. The current age for each member of the Garza family is shown below:

Jim is 49 years old.

Gianneta is 42 years old.

Elizabeth is 22 years old.

Danielle is 18 years old.

Kurt is 15 years old.

Tyler is 9 years old.

Franco is 5 years old.

Pilar is 1 year old.

Which of the following statements accurately compares the ages of the Garza family now,to their ages two years ago? (Two years ago, Pilar was not yet part of the Garza family.)


A. The median age is lower now than it was two years ago. B. The interquartile range now is less than it was 2 years ago. C. The interquartile range now is greater than it was two years ago. D. The median age now is the same as the median age two years ago.

2. If a ball is rolled horizontally off a 30 meter cliff, the horizontal distance it travels beforelanding (measured in meters) can be found using the formula below.

In this formula, v represents the ball's horizontal velocity (in meters per second).41

Which value is closest to

MAFS.912.F-IF.1.2Webb: 2

A. 24

B. 77 C. 243 D. 275

3. The graph below shows the path of a model rocket after its launch from the ground.

What is the domain of the function that represents the height of the model rocket withrespect to time?


A. all integers from 0 to 6 B. all integers from 0 to 20 C. all real numbers from 0 to 6 D. all real numbers from 0 to 20

4. Suppose f(x) = x2 and g(x) = 2x – 3. What is the value of g(4) + f(–3)?MACC.912.F-IF.1.2Webb: 1

A. B. 7 C. 14 42

D. 25

5. John earns $8 per hour for his after-school job. He never works more than 18 hours in aweek, and he never works a fraction of an hour. The equation that models this situationis where A represents the amount John earns and h represents the number ofhours John works in a week. What is the reasonable domain of the function A in the givencontext?


A. all integers greater than or equal to 0 B. all integers less than or equal to 18 C. all integers greater than or equal to 0 and less than or equal to 18 D. all integers greater than or equal to 0 and less than or equal to 144

6. Which expression is equal to


A.

B.

C.

D.

7. John calculated some ordered pairs for a given relation as shown in the list below.

The relation for which John calculated the ordered pairs in the list represents a function.Which set of ordered pairs shows one in which John definitely calculated incorrectly?


A.

B.

C.

D.

43

8. Jessie thinks that the first step in solving the equation shown below could be to use theaddition property of equality. His friend Robin thinks that the multiplication property ofequality could be used first. Who is correct and why?


A. Jessie is correct because can first be added to both sides of the equation.

B. Robin is correct because both sides of the equation can first be multiplied by 10.

C. Both are correct because the first step can be either to add or to multiply by 10 on

both sides of the equation.

D. Neither is correct because neither adding nor multiplying by 10 on both sides of the

equation is a valid first step.

9. Which expression has a rational value?MAFS.912.N-RN.2.3Webb: 2

A.

B.

C.

D.

10. Which statement(s) are true about functions?

I. Domain denotes the possible values of x. II. Range denotes the value of for the input values of x. III. Each element of the domain assigns to multiple elements of the range.


A. only I B. only III C. I and II D. II and III

44

11. The function represents the monthly earnings of a sales executive, which consists ofa base salary and a commission earned on each sale, where x is the number of sales.What does the value of represent?


A. base salary B. number of sales C. monthly earnings D. commission earned

12. For the function what is the range of for the domain


A. B. C. D.

13. The function provides the number of miles a car can travel on g gallons of gas. The

fuel tank holds 14 gallons which allows a maximum ride of 504 miles.

What is the domain of the function?MAFS.912.F-IF.2.5Webb: 1

A. B. C. D.

14. If which of these describes the relation between m and p?


A. The value of p is equal to the value of m. B. The value of p is twice the value of m. C. The value of p is four times the value of m.

45

D. The value of p is eight times the value of m.

15. Members of the senior class of Washington High School are selling scented candles toraise money for their senior trip. They wrote the amount of money raised as a function ofthe number of candles sold. Which set of numbers would be an appropriate domain forthe function described?


A.

B.

C.

D.

16. Naoko and Pam compared the music on their MP3 players.

Rock Country

Naoko 522 315

Pam 118 145

What is a reasonable estimate of the probability that a song randomly selected fromtheir collections is a country song and is on Pam’s MP3 player?


A. 0.15 B. 0.24 C. 0.42 D. 0.53

17. What is the value of f(16) - f(0) when f(x) = 4x – 8?MACC.912.F-IF.1.2Webb: 2 46

A. 16 B. 48 C. 56 D. 64

18. The bar graph below shows the height (in centimeters) of several models of shoes.

Which set of numbers is the domain of the function?MAFS.912.F-IF.2.5Webb: 1

A. {7, 10, 15} B. {1, 3, 4, 7, 8} C. {1, 2, 3, 4, 5, 6, 7, 8} D. {7, 8, 9, 10, 11, 12, 13, 14, 15}

19. If what is


A.

B.

C.

D.

20. Which relationship is NOT a function?

47


A.

B.

C.

D.

48

21. Which relation is a function?


A. A B. B C. both A and B D. neither A nor B

22. Which of these expressions best justifies why is equivalent to the cube root of 6?


A.

B.

C.

D.

23. Let be defined by What is the value of MACC.912.F-IF.1.2Webb: 2

A. B. C. 8 D. 23

24. Which statement best describes whether the relation below is a function and correctly49

explains why or why not?


A. No, because one of the ordered pairs is the origin. B. Yes, because one of the ordered pairs is the origin. C. No, because each x-value is paired with exactly one y-value. D. Yes, because each x-value is paired with exactly one y-value.

50

Student Name: ______________________

Teacher: ______________________ Date: ___________



Description: ALG I Topic 5: Linear Models - Part A

Form: 201

1. Which system of equations has the same solution as the system of equations shownbelow?


A.

B.

C.

D.

2. A function, models the depth of water in a wading pool that is filling at a rate of 11gallons per minute. Which of these describes why can be considered a linear function?

I. For every 1 minute interval, the depth of water in the wading pool increases by thesame amount.

II. The function grows by equal factors every minute.

III. The slope of the function is constant.MAFS.912.F-LE.1.1.aWebb: 2

A. I only 51

B. I and III only C. II and III only D. I, II, and III

3. Sue's age is one year less than half her mother's age. The sum of their ages is 71 years.If x represents Sue's age, which equation can be used to find her age?


A.

B. C.

D.

4. Frederick works in a grocery store and also mows lawns. He earns $10 per hour at thegrocery store and $8.50 per hour mowing lawns. He worked a total of 35 hours lastweek, of which he spent x hours mowing lawns. Which is the simplified equation thatrepresents the relationship between his earnings, y, in dollars and the number of hourshe spent working last week?


A. B. C. D.

5. Juju and Natalie are going to a resort during Spring Break. At the resort, they can rent a paddle boat for $12 per day orrent two mountain bikes for $9 each per day. Together, they have $138 to spend. Let "c" be the number of days tocanoe and "b" is the number of days they can bike ride. What is the best equation to decribe the possible days theycan canoe and bike ride during their Spring Break?


A.

B.

C.

D.

6. The Body Mass Index formula is BMI = weight in pounds/(height in inches)^2 times 703, or52

.

What is the formula when solved for for H?MAFS.912.A-CED.1.4Webb: 2

A.

B.

C.

D.

7. Carla invests $3000 in a family fund that pays 5% interest every year, but only on herprincipal investment. The formula the fund uses to calculate the amount in her account, A,based on the number of years, t, since she invested the $3000 is shown below.

Which statement is true about the amount in Carla's account over time?MAFS.912.F-LE.1.1.aWebb: 2

A. The amount in Carla's account increases by a factor of 0.05 each year. B. The amount in Carla's account increases by a factor of 1.05 each year. C. The amount in Carla's account increases by $150 each year. D. The amount in Carla's account increases by $3150 each year.

8. Jalen inherited a collection of vintage comic books. An appraiser separated the comicbooks into two categories: comic books valued at $45 and comic books valued at $65. Hevalued the entire collection at $3,135. Jalen has 33 more $45 comic books than he has$65 comic books. How many total comic books does Jalen have?


A. 51 B. 63 C. 89

53

D. 132

9. What is the y-intercept of the function shown on the coordinate plane below?

MAFS.912.F-IF.3.7.aWebb: 1

A.

B.

C.

D.

10. Johannes needs to buy replacement team uniforms and is looking at different prices. Hehas a budget of $300. He needs 18 pairs of pants and 12 shirts. Let x represent the costof each pair of pants, and y represent the cost of each shirt. Which graph correctly showsthe costs of pants and shirts Johannes can buy, if no tax is added?


54

A.

B.

55

C.

D.

11. How many solutions does the given system of equations have?

MAFS.912.A-REI.3.656

Webb: 2

A. no solution B. one solution C. two solutions D. infinitely many solutions

12. Albert invests money in an account that earns a yearly dividend. The amount, A, in hisaccount at the end of t years is given by the equation Which statement is correct?

MAFS.912.F-LE.2.5Webb: 2

A. $2,544 represents the total amount at the end of t years. B. $2,400 represents the total amount at the end of t years. C. $2,400 represents the dividend earned every year. D. $144 represents the dividend earned every year.

13. Using the elimination method, Joe solved the system of equations for y with

the following steps.

Which statement correctly identifies the mistake Joe made?


A. In step 3, Joe multiplied the term by instead of by

57

B. In step 4, Joe simplified as instead of simplifying to

C. In step 2, Joe should have multiplied the first equation by instead of by

D. In step 5, Joe should have added to both sides of the equation instead of dividingboth sides of the equation by

14. If the points and are solutions of the equation what are theapproximate values of m and n?


A. and

B. and

C. and

D. and

15. Which graph represents a function, that has a slope of 3 units and


A.

58

B.

C.

D.

16. Which of these correctly explains the solution of the system of equations shown below?

MAFS.912.A-REI.3.6Webb: 1 59

A. The equations have y-intercepts at 2 and 4; therefore, is the solution.

B. The equations have x-intercepts at 3 and 12; therefore, is the solution.

C. The values of and satisfy both the equations; therefore, is thesolution.

D. The lines representing the equations intersect at and therefore, is thesolution.

17. The graph of the equation is a line that has a x-intercept at 2.5 and a y-intercept at 5.Which point lies on the line?


A. B. C. D.

18. What is the solution to the equation 2x + (x + 9) = 153?MAFS.912.A-CED.1.4Webb: 2

A.

B.

C. x = 12 D. x = 48

19. What is the approximate solution to the system of equations graphed below?

60


A.

B.

C.

D.

20. Shane plans on finding a summer job so he can earn enough money to buy a new laptopthat costs $595. He has already saved $150. If Shane finds a summer job that pays him$7.50 an hour after taxes are withheld, what is the minimum number of hours he willhave to work in order to purchase the laptop?


A. 80 B. 79 C. 60 D. 59

21. If a point is on the graph of the equation and also on the graph of

what is the value of b?


A.

B. 61

C.

D.

22. A school is purchasing snacks for a summer program. The company charges $1.50 persnack plus a fixed delivery charge. There are 25 students who receive a snack. If theschool spends $42.25, how much does the company charge for delivery?


A. $37.50 B. $17.25 C. $11.50 D. $4.75

23. The descriptions of situations that four students think can be modeled by a linearfunction are listed in the table below.

Which of these students’ situations can be modeled using a linear function?MAFS.912.F-LE.1.1.bWebb: 2

A. Anna and Julian B. Anna and Kendra C. Brian and Julian D. Brian and Kendra

24. Michael buys a car and agrees to pay $1,500 up front and $450 each month for the next2 years. Which graph shows the total amount, y, in dollars that will be paid at the end ofx months?

MAFS.912.A-CED.1.2 62

Webb: 2

A.

B.

C.

63

D.

25. The formula that describes an object’s motion is given by where S is the

distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Whichequation represents a in terms of the other variables?


A.

B.

C.

D.

26. Which graph represents the function


64

A.

B.

C.

65

D.

27. A total of $4,500 was collected selling 1,200 tickets to an exhibition. The cost of eachticket was $4 for an adult and $3 for a child. Which system of equations represents thissituation and what does the solution to the system tell you regarding tickets to theexhibition?


A. where the solution reveals that there were 900 adult tickets sold and 300 children’stickets sold

B. where the solution reveals that there were 300 adult tickets sold and 900 children’stickets sold

C. where the solution reveals that there were 3,600 adult tickets sold and 900 children’stickets sold

D. where the solution reveals that there were 900 adult tickets sold and 3,600 children’stickets sold

66

Student Name: ______________________

Teacher: ______________________ Date: ___________



Description: ALG I Topic 5: Linear Models - Part B

Form: 201

1. Sara lit a new candle and then recorded its height in inches every hour as (time, height).Her results were

Which statement is true?MAFS.912.S-ID.3.7Webb: 2

A. The height of the candle decreases by 1.6 inches every hour, and its original heightwas 20 inches.

B. The height of the candle decreases by 20 inches every hour, and its original heightwas 1.6 inches.

C. The height of the candle decreases by 9.6 inches every hour, and its original heightwas 20 inches.

D. The height of the candle decreases by 1.6 inches every hour, and its original heightwas 18.4 inches.

2. The students of Lincoln High School are raising money to support the sports teams. Alocal organization donated boxes of popcorn and candy for the students to sell. Thefreshmen are selling boxes of popcorn for $2 each, and the sophomores are sellingboxes of candy for $4 each. The students' target is to raise more than $800. Thesophomores expect to sell at most 100 boxes of candy. Let x represent the numberof boxes of popcorn sold and y represent the number of boxes of candy sold. Which pairof inequalities models the given situation?


A.

B.

C.

67

D.

3. The graph of a linear function is shown below.

Which of these statements correctly compares the graphed function to the function


A. The rate of change of

B. The rate of change of

C. The rate of change of

D. The rate of change of

4. A student is trying to determine whether there is an association between the number ofyears of education and the amount of money a person makes. Which of the followingwould be a reasonable correlation coefficient and interpretation for this situation?


A. The correlation coefficient is which indicates no association between the number68

of years of education and the amount of money a person makes.

B. The correlation coefficient is which indicates a strong positive linear associationbetween the number of years of education and the amount of money a person makes.

C. The correlation coefficient is which indicates a strong positive linear associationbetween the number of years of education and the amount of money a person makes.

D. The correlation coefficient is which indicates a weak negative linear associationbetween the number of years of education and the amount of money a person makes.

5. Which function is represented by the input-output table below?


A. B. C. D.

6. As a part of a science experiment, Gary makes a small hole in the bottom of a bottle fullof water. He records the amount of water left in the bottle at the end of each minute. Herepeats this experiment several times and uses the data to develop the linear model

which describes the amount of water remaining in the water bottle, in wmilliliters, after m minutes. Which statement is a correct interpretation of this linearmodel?


A. The water bottle holds 1,200 milliliters of water and loses 50 milliliters per minute.

B. The water bottle starts with 1,200 milliliters of water and ends with 24 milliliters ofwater.

C. The water bottle holds 1,200 milliliters of water and loses 1 milliliter of water every 50minutes.

D. The water bottle starts with 1,200 milliliters of water and loses exactly 50 milliliters ofwater.

7. The recursive formula for a sequence of numbers is shown.

69

Which equation would produce the same sequence of numbers as the recursive formulashown?


A.

B.

C.

D.

8. On a winter day, it started snowing lightly at 4 a.m. and then heavier at 8 a.m. By 10 a.m.it stopped, and the total snowfall recorded was 3 inches. It didn’t snow for the rest of theday. Which of these is a possible graph for the number of inches of snow as a function oftime, from midnight to midday?


A.

70

B.

C.

D.

9. Which statement is an example of causation?MAFS.912.S-ID.3.9Webb: 2

A. When it rains, the playground gets wet. B. The height of children increases as their running speed increases.

C. The increase in the number of ice-cream cones a vendor sells causes an increase intemperature.

D. Students who eat a good breakfast each day are more physically active than thosewho skip breakfast.

10. Based on last week’s sales, a store manager concluded that by pricing the store’s pack71

of 12 donuts at $8, the store will sell about 80 packs per day. Raising the price to $8.50per pack of 12 donuts will cause sales to fall to about 76 packs per day. If alinear model based on this data is used to predict the daily sales of y packs of donutswhen the price per pack is x dollars, which statement is true about the slope of thislinear model?


A. If the price per pack increases by $8, the number of packs sold per day decreases by1.

B. If the price per pack increases by $4, the number of packs sold per day decreases by1.

C. If the price per pack increases by $1, the number of packs sold per day decreases by4.

D. If the price per pack increases by $1, the number of packs sold per day decreases by8.

11. The first five terms of an arithmetic sequence are 5,11,17,23,29. What is the rule for the nth term of this sequence?MAFS.912.F-LE.1.2Webb: 1

A.

B.

C.

D.

12. The length, x, of a rectangular garden is 4 times the width, y. Cody estimates that theperimeter of the garden is 70 meters. Which system of equations models the dimensionsof the garden?


A. B. C. D.

13. Two different functions are shown below. One is written as an equation, and the other isgiven as a table of values.

72

Which mathematical sentence correctly compares the y-intercept of function A to they-intercept of function B?


A. B. C. D.

14. Jim borrowed $850 to purchase a stereo system for his car. He has been makingpayments each week for the last four weeks. The chart below shows the history of hisloan balance.

In the linear function that models these data, x represents the week and y representsthe balance of the loan. What is the slope of the function?


A. B. C. D.

15. The values in the table came from a recent survey on the number of hours students spend on social media. Whichequation listed below best represents this data and predicts the value of f(x) when x is equal to six?

73

Number of Hours SpentUsing Social Media

Number of Students

x f(x)0 31 202 373 544 715 886 ?


A. f(x) = 1/17x + 3; 3.4 B. f(x) = 3x + 17: 35 C. f(x) = 17x + 3; 135 D. f(x) = -3x + 17; 1

16. The scatter plot below shows how the weight of a baby alligator changed after hatching.

Which equation best represents the weight, w, of this alligator n weeks after hatching?MAFS.912.S-ID.2.6.cWebb: 2

74

A. B. C. D.

17. A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, thefarmer plans to plant 250 new trees. Assuming all of the trees from one year live into thenext, which explicit formula below can be used to determine the total number of orangetrees, on this farm at the end of the year?

MAFS.912.F-BF.1.1.aWebb: 2

A. B. C. D.

18. The scatter plot compares the amounts Dave and Steve saved each month.

Which scatter plot shows the line of best fit that most accurately represents therelationship between Dave’s and Steve’s savings?

MAFS.912.S-ID.2.6.cWebb: 1

75

A.

B.

C.

76

D.

19. As part of a science project, Andy surveys several students in his class to determine theirenergy levels throughout the day. He asks the students to rate their energy level on ascale from 1 to 10, where 10 is the highest energy level possible and 1 is the lowestenergy level possible. Andy then finds the average energy level for the class for eachhour after the school day begins until the end of the day. He graphs his data as shownbelow.

He observes that students seem to have less energy as the day progresses. Which ofthese statements is true?


A. Andy’s study shows causation. B. Andy’s study shows correlation. C. Andy’s study shows both correlation and causation. D. Andy’s study shows neither correlation nor causation.77

20. Jessie deposited $6,000 in a savings account. The amount in the account after 1, 2, and3 years is shown below.

$6,240, $6,480, $6,720, ...

Which expression represents the total amount in her account at the end of t years?MAFS.912.F-BF.1.1.aWebb: 2

A. B. C. D.

21. A fitness center introduces two offers. The first offer charges $27 per month plus $34enrollment fee. The other offer charges $30 per month plus $22 enrollment fee. Which ofthese statements is true?


A. The first offer is always less expensive. B. The second offer is always less expensive. C. The first offer is less expensive for the first 3 months. D. The second offer is less expensive for the first 3 months.

78

22. A function is given as and the function is seen in the table below.

Which statement is true?MAFS.912.F-IF.3.9Webb: 2

A. The function has a greater rate of change than the function

B. The function has a greater rate of change than the function

C. The function has a greater x-intercept than the function

D. The function has a greater y-intercept than the function

23. The water in a swimming pool is being drained. The function shown in the graph belowrepresents the amount of water in gallons that remains in the pool after x minutes.

At what rate does the water drain?MAFS.912.F-IF.2.4Webb: 2

A. 9 gallons per minute B. 500 gallons per minute C. 540 gallons per minute D. 4,500 gallons per minute

79

24. What is the best estimation of the correlation coefficient of the data represented inthe graph below?


A. B. C. D.

80

Student Name: ______________________

Teacher: ______________________ Date: ___________



Description: Algebra 1 Topic 6 Test

Form: 201

1.Which function best fits the data in this scatter plot?

MAFS.912.S-ID.2.6.aWebb: 2

A.

B.

C.

D.

81

2.The scatter plot below relates the diameter of a particular species of tree, in inches, to itsage, in years. The growth rate of a tree, in years per inch, is also known as the growthfactor of the tree. The slope of the line of best fit in the scatter plot represents thegrowth rate, or factor, of the tree.

The table below lists the growth factors of different species of trees.

What species of tree is most likely represented by the scatter plot?


A. Cottonwood

B. Silver maple

C. Red oak

D. White pine

82

3.Jessie deposited $6,000 in a savings account. The amount in the account after 1, 2, and3 years is shown below.

$6,240, $6,480, $6,720, ...

Which expression represents the total amount in her account at the end of t years?


A.

B.

C.

D.

4.A sequence is defined by the function where n represents the number ofthe term for and What are the first four terms of the sequence?


A.

B.

C.

D.

83

5.A study shows that there is a negative correlation between a student's anxiety before atest and the student's score on the test.

Which statement can be concluded?


A. Higher anxiety causes lower test scores.

B. Lower anxiety causes lower test scores.

C. There is no correlation between a student's anxiety and the student's test score.

D. There is a correlation but not necessarily a causation between a student's anxiety andthe student's test score.

84

6.The scatter plot below shows the change in the demand for a pair of jeans at a store asthe price changes. The sales manager uses as a line of best fit.

What is the residual value to the nearest tenth when the price of jeans is $28?

MAFS.912.S-ID.2.6.bWebb: 2

A.

B.

C.

D.

85

7.Which statement best describes the association of two data sets with a correlationcoefficient of


A. The data sets have a weak positive association.

B. The data sets have a weak negative association.

C. The data sets have a strong positive association.

D. The data sets have a strong negative association.

86

8.The values in the table came from a recent survey on the number of hours students spend on social media. Whichequation listed below best represents this data and predicts the value of f(x) when x is equal to six?

Number of Hours SpentUsing Social Media

Number of Students

x f(x)0 31 202 373 544 715 886 ?


A. f(x) = 1/17x + 3; 3.4

B. f(x) = 3x + 17: 35

C. f(x) = 17x + 3; 135

D. f(x) = -3x + 17; 1

9.A function, models the depth of water in a wading pool that is filling at a rate of 11gallons per minute. Which of these describes why can be considered a linear function?

I. For every 1 minute interval, the depth of water in the wading pool increases by thesame amount.

II. The function grows by equal factors every minute.

III. The slope of the function is constant.

MAFS.912.F-LE.1.1.aWebb: 2

A. I only 87

10.The first five terms of an arithmetic sequence are 5,11,17,23,29. What is the rule for the nth term of this sequence?


A.

B.

C.

D.

88

11.The descriptions of situations that four students think can be modeled by a linearfunction are listed in the table below.

Which of these students' situations can be modeled using a linear function?

MAFS.912.F-LE.1.1.bWebb: 2

A. Anna and Julian

B. Anna and Kendra

C. Brian and Julian

D. Brian and Kendra

89

12.Which recursive formula defines the nth term in the sequence where


A.

B.

C.

D.

13.Carla invests $3000 in a family fund that pays 5% interest every year, but only on herprincipal investment. The formula the fund uses to calculate the amount in her account, A,based on the number of years, t, since she invested the $3000 is shown below.

Which statement is true about the amount in Carla's account over time?

MAFS.912.F-LE.1.1.aWebb: 2

A. The amount in Carla's account increases by a factor of 0.05 each year.

B. The amount in Carla's account increases by a factor of 1.05 each year.

C. The amount in Carla's account increases by $150 each year.

D. The amount in Carla's account increases by $3150 each year.

90

14.Sara lit a new candle and then recorded its height in inches every hour as (time, height).Her results were

Which statement is true?


A. The height of the candle decreases by 1.6 inches every hour, and its original heightwas 20 inches.

B. The height of the candle decreases by 20 inches every hour, and its original height was 1.6inches.

C. The height of the candle decreases by 9.6 inches every hour, and its original heightwas 20 inches.

D. The height of the candle decreases by 1.6 inches every hour, and its original heightwas 18.4 inches.

15.The value of a certain house is modeled by the function where x

represents the number of years since it was bought. Which statement is true?


A. The initial cost of the house is $2,500.

B. The value of the house will increase to $126,000 over a period of time.

C. The initial cost of the house is $126,000, and the value is decreasing by $2,500 everyyear.

D. The initial cost of the house is $126,000, and the value is increasing by $2,500 everyyear.

91

16.Which scatter plot would have a correlation coefficient with the highest value?


A.

B.

92

C.

D.

93

17.A personal trainer has developed an exercise plan for beginners. For the first 10 days,the beginner increases his or her daily exercise time by 4 minutes. On the third day, thebeginner exercises for 16 minutes.

Which expression models the number of minutes the beginner will exercise on the nthday?


A.

B.

C.

D.

94

18.The graph below represents the change in the closing price of a stock.

What is the average rate of change in the closing price between November 5 andNovember 7?


A.

B.

C.

D.

95

19.The table below records the median salary at United Construction over a period of 4years.

Year Salary2009 $35,0002010 $36,0002011 $38,0002012 $40,0002013 $43,000

What is the average annual increase in the median salary from 2009 to 2013?


A. $2,000

B. $8,000

C. $38,000

D. $38,400

96

20.Which statements are true?

I. Correlation implies causation. II. Correlation does not imply causation.III. "A causes B' does not imply that "B causes A.' IV. "A is correlated with B' does not imply that "B is correlated with A.'


A. I and III

B. I and IV

C. II and III

D. II and IV

97

21.The table below lists the number of items, N, manufactured by a factory and thecorresponding cost, C, to manufacture that many items.

Which of these best identifies the interval where the cost is increasing at a constantrate?

MAFS.912.F-LE.1.1.bWebb: 2

A. when only

B. when only

C. for no values of N

D. for all the values of N

98

22.Avery and her friends attend a museum. It costs $5 to enter the main exhibit hall, withan added charge of $3 to view each special exhibit. Avery writes an equation that modelsthe total price of visiting the museum as a function of the number of special exhibits theyview.

What is the slope and y-intercept of Avery's model?


A. y-intercept = 0, slope =

B. y-intercept = 0, slope = 3

C. y-intercept = 5, slope = 3

D. y-intercept = 5, slope = 8

99

23.Robert is reading a book. The graph below represents Robert's progress through thebook last evening, where the x-coordinate of each point represents elapsed time sincehe picked up the book and the y-intercept represents the number of pages he had read.The diagonal line represents the line of best fit for the data.

What do the slope and the y-intercept of the line represent?


A. Robert read about 25 pages every 8 minutes. He had already read 10 pages when hebegan.

B. Robert took about 25 minutes to read 8 pages. He had already read 10 pages whenhe began.

C. Robert read about 25 pages every 8 minutes. He started reading by turning to page10.

D. Robert took about 25 minutes to read 8 pages. He started reading by turning to page10.

100

24.Sarah is working on a design for a community garden. She made several scale models,shown below, to compare the number of white tiles that could be laid along squaregardens of different sizes.

Which equation can be used to represent the number of white tiles, t, for the nth figure?


A.

B.

C.

D.

101

25.The average rate of change of is 2 on the interval from to Which of

these could describe the values of when and


A.

B.

C.

D.

102

Student Name: ______________________

Teacher: ______________________ Date: ___________



Description: Algebra I Topic 7 Test: Polynomial Expressions

Form: 201

1. Which polynomial is equivalelnt to MAFS.912.A-APR.1.1Webb: 1

A. B. C. D.

2. Consider the steps shown below.

Given:

Step 1:

Step 2:

Step 3:

Which property can be used to justify Step 2?MAFS.912.A-APR.1.1Webb: 1

A. Commutative Property B. Associative Property C. Identity Property D. Distributive Property

103

3. The length of a rectangle can be represented by the expression The width of the same rectangle can berepresented by the expression Which of the following expressions can represent the area of the rectangle?

MAFS.912.A-APR.1.1Webb: 1

A. B. C. D.

4. When factored completely, how is written?MAFS.912.A-SSE.2.3.aWebb: 1

A. B. C. D.

5. Which of the following is equivalent to the expression ?MAFS.912.A-SSE.1.2Webb: 1

A. B. C. D.

6. The expression below can be rewritten in several ways.

If this expression can be represented by where a and b are algebraic terms, what

is the value of k?MAFS.912.A-SSE.1.2Webb: 2

A. B. C. D. 104

7. Consider the expression

Which expression represents a factor of the given expression?MAFS.912.A-SSE.1.1.aWebb: 1

A. B. C. D.

8. Which expression is equivalent to MAFS.912.A-SSE.1.2Webb: 2

A. B. C. D.

9. In each of the following expressions, letters represent variables. Which expression couldbe the product of two or more polynomials?


A.

B.

C.

D.

105

10. Which function best represents the graph below?


A. B.

C.

D.

11. Which expression is equivalent to MAFS.912.A-SSE.1.2Webb: 2

A. B. C. D.

12. Which expression represents a complete factorization of ?MAFS.912.A-SSE.2.3.aWebb: 1

A. B. C. D.

106

13. Which of the following shows written in factored form?MAFS.912.A-SSE.2.3.aWebb: 1

A. B. C. D.

14. Given the expression which statement best describes the base of each term?MAFS.912.A-SSE.1.1.bWebb: 2

A. The base of each term is a binomial with two variables. B. The base of each term is a trinomial with two variables. C. The base of each term is a binomial with three variables. D. The base of each term is a trinomial with three variables.

15. The volume, V, of a rectangular box with a square base and height h inches can be modeled by the function

Which conclusion is not valid?MAFS.912.A-SSE.1.1.bWebb: 2

A. The width of the box is represented by 16 – 2h. B. The length of the box is represented by 16 – 2h. C. The height of the box is between 0 and 8 inches. D. The height of the box is between 8 and 16 inches.

16. Which binomial must be added to so that the sum of the two polynomials is MAFS.912.A-APR.1.1Webb: 2

A. B. C. D.

107

17. Which expression shows the factors of the equation


A.

B. C. D.

18. Which expression is equivalent to

MAFS.912.A-SSE.1.2Webb: 2

A.

B.

C.

D.

19. Which statement best describes the end behavior of the functionMAFS.912.F-IF.3.7.cWebb: 1

A. f(x) approachesas x approachesand f(x) approaches 8 as x approaches B. f(x) approachesas x approachesand f(x) approachesas x approaches C. f(x) approachesas x approachesand f(x) approachesas x approaches D. f(x) approachesas x approachesand f(x) approachesas x approaches

108

20. What is the end behavior for the polynomial function


A.

B.

C.

D.

21. Which of these mathematical statements describes the end behavior of the functiongraphed below?

MAFS.912.F-IF.3.7.cWebb: 1

A.

B.

C.

D.

109

22. In the graph below, what are all values of x for which y = 0?

MAFS.912.F-IF.3.7.cWebb: 1

A. B. C. D.

23. What is the factored form of MAFS.912.A-SSE.2.3.aWebb: 1

A. B. C. D.

24. A square has an area of square meters. Which expression represents the length of each side, inmeters?

MAFS.912.A-SSE.2.3.aWebb: 1

A. B. C. D.

110

25. is equivalent to which of the following expressions?MAFS.912.A-APR.1.1Webb: 1

A. B. C. D.

26. a 3rd-degree polynomial, and a 4th-degree polynomial, are both expressions interms of x.

Does the function also need to be a polynomial function in terms

of x? If so, what degree is the function


A. Yes, it is 21st-degree polynomial in terms of .

B. Yes, it is a 12th-degree polynomial in terms of .

C. Yes, it is a 7th-degree polynomial in terms of .

D. No, it does not need to be a polynomial in terms of .

2 + 6x − 9x2

2 − 4x − 21x2

2 − 16x + 21x2

2 − 4x + 21x2

111

Student Name: ______________________

Teacher: ______________________ Date: ___________



Description: Algebra I Topic VIII: Quadratic Functions

Form: 201

1. The factors of a quadratic function are What is the axis of symmetry of thisfunction?


A.

B.

C.

D.

2. A company’s profit is described by the formula , where x is the price in dollars thatthe company charges for its product. What should the company charge for the product to generate the maximumprofit, P?


A. $25 B. $55 C. $60 D. $120

112

3. Which of these correctly transforms into vertex form and identifies the

vertex?MAFS.912.F-IF.3.8.aWebb: 2

A. with the vertex at

B. with the vertex at

C. with the vertex at

D. with the vertex at

113

4.Which graph best represents


A.

B.

C.

114

5. George is comparing the graphs of two functions and for different

values of x. Which statement best compares the values of the functions as the value of xincreases?


A. will eventually exceed for all real numbers greater than a certain x-value.

B. will eventually exceed for all real numbers greater than a certain x-value.

C. is greater than for all values of x.

D. is greater than for all values of x.

6. Which function is represented by this graph?

MAFS.912.F-BF.2.3Webb: 2

A. B. C. D.

7. What are the solutions toMAFS.912.A-REI.2.4.bWebb: 1

A. B. C. D.

115

8. The formula is used to approximate the distance s, in feet, that an object falls freely in t seconds. How longwill it take a twig hanging 725 ft above the soil to reach soil when it breaks off the tree?

MAFS.912.A-REI.2.4.bWebb: 2

A. about 2052.1 seconds B. about 45.3 seconds C. about 362.5 seconds D. about 6.7 seconds

116

9. Joseph and Brett are standing on the roof of their houses. Both threw a ball into the air.The height of the ball, x seconds after Joseph threw it, is represented by the function

The height of the ball t seconds after Brett threw it is represented

by the graph below.

Which of these statements comparing the paths of the balls is correct?MAFS.912.F-IF.3.9Webb: 2

A. The height from which Joseph threw the ball was 2 feet greater than the height fromwhich Brett threw the ball.

B. The ball that Joseph threw was in the air for approximately 0.25 second more than thetime that the ball thrown by Brett was in the air.

C. The ball that Joseph threw was in the air for approximately 0.32 second more than thetime that the ball thrown by Brett was in the air.

D. The ball that Joseph threw went 14 feet above the roof of his house as compared tothe ball that Brett threw which went 12 feet above the roof of his house.

117

10. This is the graph of

Which could be the graph ofMAFS.912.F-BF.2.3Webb: 1

A.

B.

118

C.

D.

11. Two steps in the proof of the quadratic formula are shown.

Which equation could be Step 3?MAFS.912.A-REI.2.4.aWebb: 1

A.

B.

C.

D.

119

12. Given the function what is the average rate of change of the function

over the interval


A. 2 B. 6 C. 7 D. 10

13. Which values of x in the equation are true?


A. B. C. D.

120

14. A function, is defined by the equation Another function, is graphed below.

Which statement describing both graphs of and is true?MAFS.912.F-IF.3.9Webb: 2

A. The parabolas open downward. B. The parabolas have the same vertices. C. The parabolas have the same y-intercept. D. The parabolas have the same maximum value.

15. Function is defined by the equation Quadratic function intersects

the x-axis at and and passes through the point How does the value of theminimum for each function compare?


A. Function has a minimum of and function has a minimum of

B. Function has a minimum of and function has a minimum of

C. Function has a minimum of and function has a minimum of

D. Function has a minimum of and function has a minimum of

121

16. What would be the difference between the graph of and the graph of ?MAFS.912.F-BF.2.3Webb: 2

A. would shift up two units B. would shift left two units C. would shift right two units D. would shift down two units

17. Which of these statements best describes the function below?


A. is the axis of symmetry.

B. is the axis of symmetry.

C. The maximum value of is 0.

D. The minimum value of is 3.

122

18. ABC Call Center collected data on the television habits of people who responded to a telephone survey. Theycompared the number of hours of news programs people said they watched in a week to their annual incomes. Theresults are shown in the table below. Which of the following statements is the best description of a scatterplot of thedata?

Hours of TVNews/week

Average Salary

1 $ 37,0002 $ 32,0003 $ 44,0004 $ 55,0005 $ 86,0006 $ 39,0007 $ 58,0008 $ 81,0009 $ 28,000

10 $ 61,000MAFS.912.S-ID.2.6.aWebb: 1

A. strong negative correlation B. strong positive correlation C. weak negative correlation D. weak positive correlation

19. The height in meters, s, of a rocket t seconds after being launched with an upward velocity of 80 meters per secondmay be approximated by the equation . How many seconds after launch is the rocket first 140 metersabove the ground?


A. 2 B. 5.3 C. 8 D. 14

123

20. During a physics experiment, a ball is tossed and its height in feet, y, after x secondsis recorded. In the graph created from these data, the function is parabolic in shape andhas a y-intercept at an x-intercept at and a vertex at Which

statement is true of the ball in this experiment?MAFS.912.F-IF.3.7.aWebb: 1

A. The ball is in the air more than 5 seconds. B. The ball is thrown from a height of about 21 feet. C. The ball reaches a minimum height of about 21 feet. D. The ball reaches a maximum height after about 1 second.

21. Use the function graphed on the coordinate plane below.

What are the intervals where the function is decreasing and increasing?MAFS.912.F-IF.2.4Webb: 1

A. The function decreases from and increases from

B. The function decreases from and increases from

C. The function decreases from and increases from

D. The function decreases from and increases from

124

22. The graph below represents the height, in feet, of a toy rocket after t seconds.Which statement regarding the rocket's average rate is true?


A. The height of a rocket increases at an average rate of 32 feet per second between theinterval

B. The height of a rocket increases at an average rate of 32 feet per second between theinterval

C. The height of a rocket increases at an average rate of 0.031 feet per second betweenthe interval

D. The height of a rocket increases at an average rate of 0.031 feet per second betweenthe interval

23. If the quadratic equation is rewritten in the form what is the

value of ?

MAFS.912.A-REI.2.4.aWebb: 1

A. B. C. D.

125

24. Austin and Tamara each completed the square of the quadratic equation . Their results are shownbelow.

Which of the following statements is true?MAFS.912.A-REI.2.4.aWebb: 2

A. Only Austin found a quadratic equation with the same solutions as B. Only Tamara found a quadratic equation with the same solutions as C. Both students found a quadratic equation with the same solutions as D. Neither student found a quadratic equation with the same solutions as

25. Which function is represented by the graph?


A. B. C. D.

126

26. The graph of a quadratic function has a vertex of (– 2, – 4) and passes through the origin. What is its equation writtenin standard form?


A. B. C.

D.

27. A graph of a quadratic function has x-intercepts of and Which quadratic function could be representedby this graph?


A. B. C. D.

127

28. The graph below represents the gas mileage, in miles per gallon, of a car at differentspeeds.

If x denotes the speed and y denotes the mileage per gallon, which equation bestrepresents the relationship between the speed of the car and fuel efficiency?


A.

B.

C.

D.

128

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