June 2009 Practice Integrated Algebra Regents Exam

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INTEGRATED ALGEBRA

INTEGRATED ALGEBRA

SACHEM HIGH SCHOOL NORTH CAMPUS

PRACTICE HIGH SCHOOL REGENTS EXAMINATION

INTEGRATED ALGEBRA

PRINT YOUR NAME:

PRINT YOUR TEACHERS NAME:

Print your name and the name of your teacher in the boxes above. Then turn to the last

page of this booklet, which is the answer sheet for Part I. Remove this page from this test booklet.

Then fill in the heading of your answer sheet.

Scrap paper is not permitted for any part of this examination, but you may use the blankspaces in this booklet as scrap paper. All work should be written in pen, except graphs and

drawings, which should be done in pencil.

The formulas that you may need to answer some questions in this examination are found at

the end of the examination. You may remove this sheet from this answer booklet as well.

This examination has four parts, with a total of 39 questions. You must answer all questions

in this examination. Write your answers to the Part I multiple-choice questions on the separate

answer sheet. Write your answers to the questions in Parts II, III, and IV directly in this booklet.

Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams,

graphs, charts, etc.

When you have completed the examination, you must sign the statement printed at the end

of the answer sheet, indicating that you had no unlawful knowledge of the questions or answers

prior to the examination and that you have neither given nor received assistance in answering any

of the questions during the examination. Your answer sheet cannot be accepted if you fail to sign

this declaration.

The use of any communications device is strictly prohibited when taking this examination.If you use any communications device, no matter how briefly, your examination will be invalidated

and no score will be calculated for you.

DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN.

Notice

A graphing calculator and a straightedge (ruler) must be available for you to use while taking

this examination.


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Integrated Algebra Practice ExamJun. 09 [2] Mr. Smith

Part I

Answer all questions in this part. Each correct answer will receive 2 credits. No partial

credit will be allowed. For each question, record your answer using a #2 pencil on the

separate answer sheet provided to you.

1. Which Graph Represents an Absolute Value Function?

2. On a certain day in Salt Lake City, Utah, the temperature was 50

Fahrenheit (F). Using the formula , Wilson converts this

temperature to degrees Celsius (C). Which Temperature represents 50F indegrees Celsius?

(1)10 (3) 18

(2)11 (4) 20

3. Which value ofkis the solution of ?

(1)14 (3) 7

(2)-7 (4) 6


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4. The statement is an example of the use of which

property of real numbers?

(1)Associative (3) Multiplicative Inverse

(2)Commutative (4) Distributive

5. What is the speed in miles per hour, of a jet airplane that flies 1300 milesin 2 hours?

(1)540 (3) 640

(2)520 (4) 580

6. A Spinner is divided into eight equal regions as shown in the diagram

below.

If Kenny gets a prize each time the spinner lands on yellow or black, andhe spins the wheel 2 times, what is the probability that he will win bothtimes?

(1) (3)

(2) (4)


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7. Mrs. Warren wrote Six more than five times a number is greater than 56on the chalkboard. Ifx represents the number, which inequality is a correcttranslation of this statement?

(1) (3)

(2) (4)

8. At Seneca Middle School, Students are interested in starting a debate club.To determine if there is interest in starting this club, they hand out briefsurveys. In order to get the most unbiased sample, which group should thestudents survey?

(1)Every student in Mr. Virgas Honors Earth Science classes.(2)Every member of the football team.(3)Every student that takes Spanish third period.(4)Every fourth person entering the building in the morning.

9. Factored, the expression is equivalent to:

(1) (3)

(2) (4)

10.Which statement is true about the data set 6, 8, 10, 12, 14, 14, 20?

(1)mean = mode (3) mean = median

(2)mean > mode (4) mean < median

11.Jayme has a cell phone plan that charges $.08 per minute after the first 300included minutes, plus a monthly fee of $19.99. She budgets $39.99 permonth for total cell phone expenses without taxes. What is the maximumnumber of minutes Jayme could use her phone each month in order to stay

within her budget?

(1)250 (3) 550

(2)350 (4) 650


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12.The correlation in the graph below can be best described as:

(1)Weak Positive Correlation (3) Weak Negative Correlation

(2)Strong Positive Correlation (4) Strong Negative Correlation

13.What is the solution of:

(1)4 (3) 15

(2)27 (4) 135

14.Which equation represents a line that is perpendicular to the line:

(1) (3)

(2) (4)


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15.Jack bought 4 apples and 5 oranges for a total of $4.25. Jill bought 3 applesand 3 oranges for a total cost of $2.85. What is the cost of an orange?

(1)$0.15 (3) $0.45

(2)$0.35 (5) $0.55

16.At the end of the school year, the Sachem North Video Productions Clubmust choose a new President, Vice President, Secretary, Floor Director,Executive Producer, Chief Editor, and Head Camera Operator. If the teamhas a total of 42 members, and each position must be filled by a different person, then which expression could be used to determine the number ofways the officers could be chosen?

(1) (3)

(2) (4)

17.James made a rectangular block of wood in Technology Class, if thedimensions of the block are 4 in. by 6 in. by 8 in. What is the total SurfaceArea in square inches?

(1)192 (3) 208

(2) 32 (4) 144

18.Which ordered pair is in the solution set of the system of equations

and

(1)(-2,-2) (3) (4, 10)

(2)(-2, 4) (4) (4, 6)

19.What is the value of the lower quartile on the box-and-whisker plot below?

(1) 2 (3) 10

(2) 6 (4) 12


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20. Which equation could be used to find the measure, in degrees, of angle Bin the right triangle shown below?

(1) (3)

(2) (4)

21.What is the slope of the line that passes through the points (4,5) and (-3, 2)?

(1) (3)

(2) (4)

22.Consider the set of integers from greater than 1 and less than 10. A subsetof this set contains prime numbers. What is complement of this subset?

(1){2, 4, 6, 8, 10} (3) {2, 3, 5, 7}

(2){4, 6, 8, 9} (4) {4, 6, 8}

23.Danielle buys a car that depreciates (loses value) at a rate of 28% per year.The initial cost of the vehicle is $32,000. Which equation represents thevalue, v, of the car after 5 years?

(1) (3)

(2) (4)

3


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24. The function is undefined when the value ofx is

(1)0 or 8 (3) 8 or 8

(2) 8, only (4) 8, only

25.What is in simplest radical form?

(1) (3)

(2) (4)

26.What is in simplest form?

(1) (3)

(2) (4)

27.Kasey and Rob work at the Library, if rob shelves half as many booksas Kasey, and together they shelve 54 books, how many books did

Kasey shelve?

(1)18 (3) 42

(2)24 (4) 36

28.There are 20 coins in a vending machine totaling $4.00 in nickels andquarters. Which equation can be used to determine x, the number ofnickels in the machine?

(1)

(2)

(3)

(4)


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29.What are the roots of the equation ?

(1) 6 and 1 (3) 2 and 3

(2)6 and 1 (4) 2 and 3

30.Which equation represents the axis of symmetry of the graph of theparabola below?

(1) (3)

(2) (4)


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Part II

Answer all questions in this part. Each correct answer will receive 2 credits. Clearly

indicate the necessary steps, including appropriate formula substitutions, diagrams,

graphs, charts, etc. For all questions in this part, a correct numerical answer with no work

shown will receive only 1 credit. All answers should be written in pen, except for graphs

and drawings, which should be done in pencil. [6]

31. Anita is making her mother a birthday card. The Design pattern she is creating consists of asquare with four bordering semi-circles as shown in the accompanying diagram.

Express, in terms of the exact area, in square inches, of the shaded region.

4 in


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32.If it takes the Blue Train 45 minutes to travel 60 miles, and it takes the Red Train 30minutes to travel 43 miles. Which train is traveling faster? Justify your answer.

33.John placed a ladder up against the side of his house. If the distance from the foot of theladder to his house is 5 feet, and the ladder is 13 feet long, then how tall is Johns house?

13 ft

5 ft

?


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Part III






34.Perform the indicated operation and simplify:


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35.Graph the equation on the accompanying set of axes.

Using the graph, determine the roots of the equation .


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36.Write an equation that represents the line that passes through the points (1,6) and (-2,-3).


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Part IV






37.Solve the following systems of equations algebraically:

[Only an algebraic solution can receive full credit]


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38.On the set of axes below, graph the following system of inequalities and state thecoordinates of a point in the solution set.


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39.Tom measures the dimensions of his new flat screen television. His measurements are 40inches by 32 inches. The actual measurements of the TV are 39.5 inches and 31.5 inches.

Using the measurements that Tom took, determine the number of square inches in the areaof the television.

Determine the number of square inches in the actual area of the television.

Determine the relative error in calculating the area. Express your answer as a decimal tothe nearest thousandth.

Tom does not think there is a significant amount of error. Do you agree or disagree?Justify your answer.


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June 2009 Practice Integrated Algebra Regents Exam