sat program homework assignments -...

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8 P R E - A L G E B R A S K I L L SPA R T 18 8

SAT PROGRAM HOMEWORK ASSIGNMENTS

YOUR HOMEWORK FOR EACH CHAPTER INCLUDES:

• three sets of practice problems• essay exercises (if you are taking the optional essay section)

DIRECTIONS FOR COMPLETING HOMEWORK:

STEP 1 You will find Part 1 and the essay exercises on the following pages. Use the answer sheet included with this problem set to record your answers for all three problem sets, as well as your essay exercises.

Part 1 is designed to give you pacing practice, so be sure to adhere to the time limit indicated at the top of the problem set.

STEP 2 Once you complete Part 1, log back into your Customized Homework Path and enter your answers for scoring. Once you have done so, Part 2 will become available.

Part 2 is designed to give you targeted practice with the concepts and skills specific to that chapter. This problem set should not be timed.

STEP 3 Complete Part 2 and log into your Customized Homework Path and enter your answers for scoring. Once you have done so, Part 3 will become available.

Part 3 is designed to give you pacing practice, so be sure to adhere to the time limit indicated at the top of the problem set.

STEP 4 Complete Part 3 and log into your Customized Homework Path and enter your answers for scoring.

STEP 5 Complete the essay exercises your tutor assigns and have your answer sheet available to review with your tutor at your next lesson.

Need help logging into your Customized Homework Path? Instructions can be found at the front of your SAT Manual.

Pre-Algebra SkillsPart 1© PrepNow

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P R E - A L G E B R A S K I L L SPA R T 18 8

ANSWER SHEET

Use this answer sheet to record your answers for Parts 1, 2, and 3 of your homework assignment.

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Pre-Algebra SkillsPart 1 © PrepNow

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PRACTICE ESSAY

ASSIGNMENT

Your tutor will assign one, two, or all three of the essay tasks listed below.

Read and annotate the passage (10 minutes)

Brainstorm your thesis and outline your essay (8 minutes)

Write and edit your essay (32 minutes)

As you read the passage below, consider how the author uses

• evidence, such as facts or examples, to support claims. • reasoning to develop ideas and to connect claims and evidence. • stylistic or persuasive elements, such as word choice or appeals to emotion, to add power to the ideas

expressed.

Adapted from New York State Education Department, “The Importance of Summer Reading: Public Library Summer Reading Programs and Learning.” Originally published April 7, 2015.

1 An in-depth study of Baltimore area students, Alexander et al. (2007), concluded that students from both better-off and disadvantaged backgrounds made similar achievement gains during the school year. However, during the summer the disadvantaged youth fell significantly behind in reading. This finding validates the importance of education but also indicates the disparities evident between students from different socioeconomic backgrounds. Dr. Beth Miller (2007) posits, “Other factors, nearly all of them related to the opportunities and experiences children have outside of the school, in the community and their families, result in gaps in achievement scores.” Preeminent reading and education researchers Anne E. Cunningham and Keith E. Stanovich (1998) note the “Matthew effects” in academic achievement, a reference to the Biblical passage of the rich-get-richer and the poor-get-poorer phenomenon. Differences in out-of-school access to books, positive reading practices, and connections with institutions supportive of self-discovery and reading account for much of the disparity in student academic success. This has a cascading effect as children grow and develop.

2 According to Mc-Gill Franzen and Allington (2004), “Too many children spend their summer with no books to read.” Their research cites the necessity of finding novel ways to get books into the hands of children during summer breaks. This idea is supported by research from Barbara Heyn (1978), who found that reading was the most influential factor related to summer learning. Further studies by Krashen (2004) simply state, “More access to books results in more reading.” These and other studies find that when schools close their doors, the opportunity to read is often closed with them, especially for those children without access to books. McQuillan (1998) found that, “There


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is now considerable evidence that the amount and quality of student’s access to reading materials is substantively related to the amount of reading they engage in, which in turn is the most important determinant of reading achievement.” The studies show that students who read more, read better; they also write better, spell better, have larger vocabularies, and have better control of complex grammatical constructions (Krashen, 2009).

3 In their studies of children’s reading development, McGill-Franzen and Allington (2003) cite the importance of extensive, successful reading experiences in the development of reading proficiency. If children have the opportunity to listen to, discuss, and read books on topics that they select, they will develop extensive background information which can serve as a platform from which to engage in their own independent reading. Additional studies by Guthrie and Anderson (1999) found that “A history of less-successful reading experiences produces a lessened interest in voluntary reading than a history of successful reading experiences.” According to Cunningham and Stanovich (1998), the key predictors of positive reading development are success when learning to read and numerous opportunities and experiences with reading. Children who enjoy reading will read more and become proficient at the same time. A report from the National Institute of Education (1988) concluded that, “…the amount of reading done out of school is consistently related to gains in reading achievement.”

4 Public library summer reading programs are one solution to the “summer slide.” In an analysis of summer learning programs by Miller (2007), it was found that children can benefit from “hybrid” programs that combine elements of youth development principles with academic enrichment. Summer reading programs in libraries exemplify this kind of hybrid program. Barbara Heyn (1978) found that “More than any other public institution, including the schools, the public library contributed to the intellectual growth of children during the summer.” Drs. Celano and Neumann (2001), in a study prepared for the Pennsylvania Library Association, monitored differences between children participating in public library summer reading programs and those involved in local recreational summer programs. They concluded that, in addition to literacy related activities, children in library programs benefited academically from story hours, arts and crafts, and other special events designed to enhance the reading experience.

5 Current research points out that increased summer reading reduces summer learning loss. Secretary of Education, Arne Duncan, has stated “A key step toward stopping the summer slide, is the development and launch of high quality programs that take advantage of time outside the school day and year to help children learn, grow, and develop” (Elling, 2009).

Source: “The Importance of Summer Reading: Public Library Summer Reading Programs and Learning.” New York State Library Website, NY State Education Department. April 7, 2015. http://www.nysl.nysed.gov/libdev/summer/research.htm

Write an essay in which you explain how the author builds an argument to persuade the audience that students need access to books and positive reading experiences so that they do not fall behind in reading during the summer months. In your essay, analyze how the author uses one or more of the features listed above (or features of your own choice) to strengthen the logic and persuasiveness of the argument. Be sure that your analysis focuses on the most relevant aspects of the passage. Your essay should not explain whether you agree with the author’s claims, but rather explain how the author builds an argument to persuade his or her audience.


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PLANNING PAGE Use the space below to plan your essay. Use the lined pages to write your essay.


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DIRECTIONS FOR MULTIPLE-CHOICE QUESTIONS: For this section, you may use the available space for your scratch work. Solve each problem, and fill in the corresponding oval for your answer on the answer sheet.

DIRECTIONS FOR GRID-IN QUESTIONS: These questions require you to solve the problems on your own and enter your answers into the corresponding grids by marking the appropriate ovals.

• Do not mark more than one oval per column.• Columns not needed should be left blank.• You will receive credit only if you fill the ovals in correctly.• Some questions may have more than one correct answer. Only grid in one of the

correct answers.• No answer will have a negative value.• Mixed numbers such as 11/2 must be entered as 1.5 or 3/2. • Decimal answers with more digits than the grid can accommodate may be either

rounded or truncated, but you must fill the entire grid. For example, 0.666... can be entered as 2/3, .666, or .667. If .66 or .67 is entered instead, it will be scored as incorrect.

The number of degrees of arc in a circle is 360.The measure in degrees of a straight angle is 180.The sum of measures in degrees of the angles of a triangle is 180.

Not

es

1. You may use a calculator for ALL of the problems in this homework assignment. 2. Only real numbers are used.3. Figures that accompany problems in this section are provided to help you solve the problem. You can assume that figures are accurately drawn to scale EXCEPT when it is noted otherwise. All figures lie in a plane unless otherwise noted.4. The domain of any function f is defined as the set of all real number x values for which f(x) is a real number, unless otherwise noted.

r

A = πr2

C = 2πr

lw

h

V = lwh Ref

eren

ce In

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rh

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Special Right Triangles

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The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is 2π. The sum of the measures in degrees of the angles of a triangle is 180.

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PART 1

Calculators Allowed

1. What percent of 7.2 is 6.3?

A) 12.5%B) 87.5%C) 90%D) 114%

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7

5

12

10

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Distance(in miles)Leg

1

2

3

Time(in minutes)

2. Maya is competing in an off-road dune buggy race that has three legs. The distance of each leg and her times are recorded in the table above. What was Maya’s average speed, in miles per hour, for the entire race?

A) 20 miles per hourB) 30 miles per hourC) 40 miles per hourD) 50 miles per hour

3. On a test there are 30 questions worth 1 point each. If Audrey got 80% of the questions correct and received 5 points of extra credit, what was her final score on the test?

A) 24B) 26C) 29D) 30

4. How many prime numbers are there between 15 and 29, inclusive?

A) 0B) 2C) 3D) 4

5. If p is positive and n is negative, which of the following could be a value of p ÷ n?

A) -1B) 0

C) 12

D) 4

30 questions, 44 minutes


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6. If it takes Miguel 3 hours to type a 3,600 word essay, what is his typing speed in words per minute?

A) 24B) 20C) 18D) 12

354

411

Found Workwithin 1 Year

442

435

424

Found Work Between1 and 2 Years

211

225

165

432

333

325

Found WorkAfter 2 Years

1000

1000

1000

Total

1000243

Science andMath

Major

Social Sciences

Business

Arts andHumanities

7. The Alumni Relations Department of a university surveyed 1,000 Science and Math majors, 1,000 Social Sciences majors, 1,000 Business majors, and 1,000 Arts and Humanities majors about how long after graduation it took them to find work in their chosen fields. The results are recorded in the table above. Based upon the results, which group had the greatest percentage of finding work within 2 years?

A) BusinessB) Social SciencesC) Science and MathD) Arts and Humanities

y

x

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10

6

4

2

0 0 1Number of Free-Throws Made

Number of Free-Throws Made per Game

Freq

uenc

y

3 5 72 4 6

8. Based on the graph above, which is closest to the average (arithmetic mean) of the number of free-throws made per game?

A) 2B) 3C) 4D) 5

9. The mass of a solid sphere ball is 2000 g and has a volume of 150 cm3. What is the density of the ball in kg/liter? (Note: 1 cm3 = 1 mL and density = mass divided by volume)

A) 0.075B) 0.13C) 13.33D) 75


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10. If ( )( )2 67 3 ,bx x ax= what is the value of a – b?

A) -13B) -2C) 2D) 13

11. The original price of four chairs was $130 each. The owner puts them on sale individually for 10% off the original price, or, for anyone who wants to buy all four, 15% off the original price for all four. How much would a person save by purchasing all four chairs at once instead of one at a time?

A) $16B) $18 C) $22D) $26

Problems 12 and 13 refer to the following information.

10Sample A Sample B

20

30

40

50

The parallel box plots above show the hourly rates of two random samples of workers.

12. Based on this information, which of the following statements is correct?

A) The mean of Sample A is 24.B) The median of Sample B is 36. C) The range of Sample A is greater than the

range of Sample B.D) The range of Sample B is 49.

13. If the median of Sample A is x, and the range of sample B is y, what is the value of x + y?

A) 63B) 73C) 81D) 91


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14. A geologist determines that copper has an average density of 8.96 grams of copper per cubic centimeter. If copper costs $9.75 per 100g, what is the value of a 200 cubic centimeter copper nugget? (Note: density equals mass divided by volume)

A) $174.72B) $183.79C) $217.63D) $17,418.24

15. A number n is increased by 40% and then decreased by 14%. What is the final result in terms of n?

A) 0.056nB) 0.344nC) 1.204nD) 1.96n

16. A manager announces that a sweater will go on sale every month at a discount of 25% less than the previous month’s price. If the sweater is at full (retail) price today, how many months from today will it take the price of that sweater to drop to half of today’s price?

A) 1B) 2C) 3D) 4

17. The plans for a rectangular park use a scale of 1 in : 30 feet. If the plan shows the length of the park as 7 inches and the width as 6.5 inches, what will be the actual area of the park, in square feet?

A) 1,365B) 5,050C) 20,475D) 40,950

18. Abed and Troy are buying a television together. Troy will contribute twice as much towards the cost of the TV as will Abed. If the television costs $450, how much more will Troy contribute than Abed?

A) $300B) $225C) $200D) $150

19. 60 mL of alcohol is dissolved in 100 mL of distilled water. Alcohol makes up what percentage of the resulting solution?

A) 62.5%B) 60%C) 40%D) 37.5%


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20. Which expression is equivalent to

( )( )

23 5 1

31 2?

x y z

x yz

−−

−

A) 20 20

15x y

z

B) 6

2y zx

C)

4 12 21

x y z

D) 3 13 41

x y z

21. Ricky and James begin running laps during a practice session for an upcoming track and field event. Ricky’s speed around the circular track is 6 miles per hour and James’s speed around the same track is 7 miles per hour. After 2 minutes, how much farther, in feet, will James have run than Ricky, assuming they started at the same time and from the same point? (Note: 1 mile = 5,280 feet)

A) 88B) 176C) 251D) 125


In the Edison High School marching band, 30% of its members are boys and the remainder are girls and 40% of its members are over 16 and the remainder are 16 or younger. 20% of the girls are over 16.

22. Approximately what percentage of the boys is 16 or younger?

A) 4%B) 7%C) 9%D) 13%

23. If there are currently 20 students over 16 and 2 more boys over 16 join the band, then what percentage of the band members now would be over 16?

A) 52%B) 42%C) 35%D) 22%

24. Frank designed a rectangular dog pen. Then he decided to increase the size of the dog pen by a certain scale factor, giving an area that is 12.25 times that of the originally designed dog pen. What is the best estimate of the scale factor Frank applied to the original dog pen?

A) 3.5 B) 6.125 C) 12.25 D) 25.5


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For problems 25-30, solve the problem and enter your answer in the grid on the answer sheet.

25. A jar contains 30 buttons. The ratio of black buttons to total buttons is 1:5. How many black buttons are in the jar?


3.3

3

2.9

2.8

3.8

SophomoreFreshman

3.5

2.7

2.8

Junior

3.7

3.7

3.1

2.2 3.8

3.9

2.1

Senior

3.6

Alejandro

Boris

Colleen

Denise

The table above shows the GPA of four students during their freshman, sophomore, junior, and senior years of high school.

26. What is the range Denise’s GPAs?

27. What is the absolute value of the difference between Colleen’s median GPA and her mean GPA?

28. Abigail can lay 22.5 square feet of tile flooring in 4 hours. How many square inches of tile flooring can she lay in 5 hours?

29. At the start of the month, an electronics store owner ordered televisions of two different brands, A and B in the ratio of 4:7. By the end of the month, 30 televisions of brand A and 60 televisions of brand B were sold. The ratio of the remaining TV sets of the two brands is 3:5. How many television sets in total were ordered at the start of the month?

30. If 3x + 3(x + 1) = a × 3x, what is the value of a?


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