Algebra I Spring End of Course Examination Released Item Booklet

Transcription

1 Algebra I Spring End of Course Eamination Released Item Booklet April Administration This document is the propert of the Arkansas Department of Education and all rights of this document are reserved b the Arkansas Department of Education. Arkansas public schools ma reproduce this document in full or in part for use with teachers, students, and parents. All other uses of this document are forbidden without written permission. All inquiries should be sent to Dr. Gale Potter at the Arkansas Department of Education, Arkansas Department of Education

2 . Find the value of the epression: ( 9). A rectangle has a length that is more than times the width. Which diagram correctl illustrates this sentence? A. B. 7 A. w w C. *D. * B. (w ) w 97 AE.. The amount of methlmercur in a human bod can be measured b analzing a person s blood sample. The following data set represents the amounts of methlmercur, in micrograms, found in the individual blood samples of eight people. C. *D. (w ) w w {,,,,,,, } 9 What is the mode of this data set? A. B. 9. *C. * D. 96 A..

3 Use the table below to answer question. PART IIММReleased Multiple-Choice Items Algebra I A B C D E F G H I , , ,87 6, ,6 6,6. Evaluate this epression using the table above: (D8 A B6) A.,679,66 B.,9, * C. 6,777,6 D. 7,77,7. A sports store bought a case of baseballs for $.. The profit the store makes from the baseballs is represented b the function p b, where p represents the profit and b represents the number of baseballs. What is the range of this function when the domain is {,,, }? A. {,, 6, 7} 6. Rewrite the number. using scientific notation. A.. 7 * B.. 7 C.. 7 D.. 7 IC 7 A. B. {,,, } *C. {,,, } D. {, 87,, } IIA 79 A.

4 7. Which of the following is an integer? 9. Simplif: A. *B. * C.. *A. D A. 8. A school bus took hours to drive to the nearest amusement park located miles awa. What was the approimate rate at which the bus traveled? * A. 9 mph* B. mph C..6 mph D. 7.7 mph B. C. D IC6 667 A.

5 Use the graph below to answer question. (, ) (, 8) (, ) (, ) (, ) (, 8) (, ) 6 7. At what points does the graph of intersect the -ais? A. (, ) and (, ) B. (, ) and (, ) *C. (, ) and (, ) D. (, ) and (, ) IIIA6 7 A.. Jordan has some square pieces of carpet that measure feet on a side. He puts three of them together, end to end, to form a rectangle in front of his workbench. What is the perimeter of this rectangle?. The function is shown above. What is the range of the graph shown? A. {: } *B. {: }* C. {: } D. {: }. The cost of renting a car at Ace Auto Rentals is $ a da plus $. a mile. What is the epression for total cost if d is the number of das and m is the number of miles driven? *A. d.m * B. d(.m) C..(d m) D..dm AE AE. * A. feet * B. feet C. 8 feet D. 8 feet AE-.. A movie theater charges $7 for adult tickets (a) and $ for children s tickets (c). Last Frida the theater sold 7 tickets and collected $,69. Which of the following sstems of equations is a correct representation of this data? A. *B. C. a c,69 7a c 7 a c 7 7a c,69 7a,69c a c 7 D. 7a c 7 a c,69

6 . Which set of ordered pairs is a function? A. {(, ), (, ), (, )} B. {(, ), (, ), (, )} * C. {(, ), (, 7), (, )}* D. {(, ), (, ), (, )} 6. Completel factor: 6 *A. ( )( )* B. ( )( ) C. ( 6)( ) D. ( 6)( ) 6 9. The total cost of stamps is a function of how man stamps are purchased. Which statement is true? * A. The total cost of stamps is the dependent variable. * B. The total cost of stamps is the independent variable. C. The number of stamps purchased is the dependent variable. D. There is no relation between the number of stamps purchased and the total cost. Use the graph below to answer question Which represents an equation? A. times a number plus * B. times a number equals * C. 7 and the sum of and. D.. and the product of 7 and Jake is training for an in-line skate race. His goal is to skate at least miles each week. Jake could onl skate 7 miles on Monda. What is the fewest number of miles he must average for each of the net si das to achieve his goal? A.. miles * B.. miles* C. 6.6 miles D. 7.8 miles 9 A.. The graph above represents the equation 8. What is the solution to 8? A. 8 B., *C., * D. 8,, 6

7 . If in the epression 7, what is the value of? A. 8 *B. * C. D. 8. What is the product of a and b? A. a b B. a b *C. ab 988 AE.6 Use the graph below to answer question. Inches of Snow (, ) 8 (, 8) 6 (, 6) (, ) Hours D. a b * 99 AE.. When snow is inches deep on a ski slope, a snow-making machine begins to produce snow at a constant rate as shown in the graph above. At what rate is snow produced? A. *B. inch hour inches hour * C. 8 inches hour D. 6 inches hour 9 A. 7

8 . A tai cab driver charges $. per trip plus $. per mile. The distance traveled is miles. Which function represents the cost of a trip? 6. If j and k, what is m? jk m ( j ) k A. f() *B. f(). * C. f() D. f(). A. * *B. 8 C , football fans each spent approimatel $ on tickets, food, and lodging for the recent plaoff game. What was the total amount spent? A. $. B. $. 6 * C. $. 7 * D. $. 8 6 D. 99 A. Use the figure below to answer question All figures shown above are rectangles. What is the area of the shaded region? A. units B. units * C. units * D. units 9 A. 8

9 Use the table below to answer question 8. Time t (Minutes) 7 Distance d (Kilometers) Mr. Jones is keeping track of his speed (in km per hour) on his eercise bike. Which graph below best fits the data? A. B. Distance (km) Distance (km) Time (min.) Time (min.) C. *D. Distance (km) Distance (km) Time (min.) Time (min.) IIB7 68 A. 9

10 9. Which table of values represents a function? *A.. Translate this verbal sentence into an inequalit: The sum of twice a number and is greater than or equal to. B. A. B. C. *D. * C. D A.. Michelle is taking a trip to Japan. She wants to use Japanese en to pa for souvenirs. The currenc rate is $. en. The bank charges $ as a service fee to echange currenc. Michelle spent $ to convert her dollars to en. How man en did she receive?. Completel factor the following polnomial: 6 A. (6 ) B. ( ) C. 6( ) *D. ( )( ) * 86 AE-. A.. en * B. 7,6 en* C., en D., en A.. What is the mean of the set of data below? {, 7,,, 9,,, 7, } A. B. 7 *C. 8* D. 9 9 A..

11 Use the graph below to answer question. 6. Which would be the best first step in solving the following problem? ( ) A. subtract from both sides of the equation B. add to both sides of the equation * C. distribute the throughout the parentheses* D. multipl b on both sides of the equation 87 A.6. What is the zero of the function graphed above? A. B. C. *D. *. Solve: 8 6 Use the figure below to answer question 7. 8 (Not drawn to scale.) A. or B. or *C. or * D. or 8 A. 7. What is the value of if the perimeter of the figure shown above is 6? A. *B. * C. D. 7 A.

12 Use the graph below to answer question 8. D C A B Plane Tickets Purchased Passengers 8. Which is the most reasonable line of best fit for the scatterplot shown above? A. A B. B *C. C D. D 9. Lots O Videos charges a $ annual membership fee and $. for each video rented. Video House onl charges $9 for membership, but the charge $ for each video rented. If the cost at both stores was the same, which equation could be used to determine the number of videos rented (v)? A.. v 9v B..v 9 *C..v 9 v* D. v 9.v. Which of the following epressions is equivalent to 7? A. *B. C. D. ( ) ID6 78 A. A.6

13 . Which of the following numbers is not a prime number? Use the plot below to answer question. A. B. *C. 6 * D AE.. A science class conducted an eperiment in which a solution with a boiling point of F was left in a car on a sunn da. At 8: A.M., the temperature was 8 F. The class found the temperature increased 8 F per hour. At what time would the solution reach the boiling point? A. : A.M. * B. : A.M. C. : P.M. D. : P.M. IIC 68 A.. Which set of data was used to construct the stem-and-leaf plot shown above? A. 6, 6, 7, 88, B. 6, 6, 7, 88, 88, * C. 6, 6, 7, 88,, D. 7, 88,,, 6 IB 7 A.. What is the domain of the following set of ordered pairs? {(, ), (, ), (, ), (, )} A. {,,, } B. {, 6,, } C. {,,, } * D. {,,, }* 89 A..

14 . Simplif the epression: (8 ) (9 6 ) *A. 9 9 * B. 7 C. 9 D Jim works in a sporting goods store. He earns an hourl wage plus commission. One week last October, Jim worked for hours and earned $7. in commission. If his total earnings were $66., which equation can be used to determine Jim s hourl wage? A *B C D IA 6 A. Use the formula below to answer question 7. Use the figure below to answer question 8. meters 6 meters 8. What is the area of the rectangle above? A. m B. m * C. 6 m * D. 6 m 9 A. Surface Area 6 (edge) 7. The surface area of a cube is 8. What is the length of one edge? A. 9. Tom is paid cents on his first da of work. His pa doubles each succeeding da. How much will Tom earn on his fifth da of work? *B. 8 * C. D. 8 A. B. C. * D. * 996 AE.7 IA 7 A.

15 . A telephone compan charges per minute for long distance phone calls. Which graph represents a 6-minute long distance phone call from Charlotte to Chicago? A. B. cost ( ) cost ( ) time (min) 8 6 time (min) C. * D. cost ( ) 6 8 cost ( ) time (min) 8 6 time (min) IIB 68 A.

16 . What is the greatest common factor in the polnomial below? a b 6a b ab. Which of the following is the graph of a function? A. a *B. ab* C. ab D. a b A. 6. Toda Mar has 6 less than one half the number of marbles she had esterda. Which epression represents the number of marbles Mar has toda? A. m *B. B. m C. 6 m *D. m 6 * 976 AE.. Solve and graph: C. *A. B. C. D. D. 8 9 A. 6

17 Use the matri below to answer question. Shirts Slacks Bill s Clothes Barn Solid Striped Plaid The matri above represents the prices Bill s Clothes Barn paid for shirts and slacks. The store increases these prices 7% before selling them to customers. Which matri represents the selling prices of the shirts and slacks? A Principal Greene has received a $, grant to bu new printers at his school. He has a choice between $ color printers and $ high-resolution laser printers. He wants at least new printers. If C represents the number of color printers and L represents the number of laser printers, which set of inequalities correctl models the situation? *A. C L, C L * B. C L, C L C. C L C L, B D. C L C L, A.6 *C. D Use the information below to answer question 7. Mohammed in. Tiffan 8 in. Shannon Danielle in. in. Veronica Saida in. in. Derrick 8 in. Lamar 8 in. 7. Eight students measured the distance between each of his or her steps when walking. The results are shown above. What is the median of the data? A.. *B. * C..6 D

18 8. Which function has and as zeros? A. B. C. * D. 9. Simplif: ( ) A. B. 7 *C. 8* D How is.8 written in standard notation? A..8 B. 7. C..76 * D. 8,* 9 AE-. 8

19 PART IIIММReleased Open-Response Items Alegebra Algebra I CALCULATOR PERMITTED ON ALL ITEMS ALGEBRA I OPEN-RESPONSE ITEM A A. A camper can be rented for $ for the first da plus $ for each additional da. The table below shows the rates for renting the camper. Number of Das Total Cost $ $6 $7 $8 6. Cop and complete the table above in our Student Answer Document. Show or eplain all of our work even if ou use mental math or a calculator.. Let C represent the cost of renting the camper for d das. Write the equation for the cost of renting the camper. Eplain all of our work.. The camper can be purchased for $,. Your famil is planning a -da trip. Determine whether renting or buing the camper is the least epensive option. Show or eplain all of our work even if ou use mental math or a calculator. BE SURE TO LABEL YOUR RESPONSES (), (), AND (). 9

20 PART IIIММReleased Open-Response Items Algebra I ALGEBRA I OPEN-RESPONSE ITEM B B. A charcoal grill is designed to have the largest possible square-shaped cooking surface to fit inside the hemispherical container. The top view of the grill is shown below. The cooking surface is ABCD. D C A B. Henr needs to know the distance from A to C in order to determine how much food will fit on the grill. He finds that the radius of the circle is inches. Determine the distance from A to C. Show or eplain all of our work even if ou use mental math or a calculator. Be sure to show units.. Find the length,, of each side of the square rack. Show or eplain all of our work even if ou use mental math or a calculator. Be sure to show units. You ma find it helpful to use a sketch.. Henr wants to cover the metal grill with cooking foil. Determine if his ft. b ft. piece of foil will cover the square-shaped cooking surface. Show or eplain all of our work even if ou use mental math or a calculator. Be sure to show units. BE SURE TO LABEL YOUR RESPONSES (), (), AND (). 7

21 PART IIIММReleased Open-Response Items Algebra I ALGEBRA I OPEN-RESPONSE ITEM C C. Tana s Jewelr Shop sells several tpes of rings and earrings. The number of items Tana orders for Januar is represented in the matri below. Januar Order Rings Earrings Silver Gold Pearl 6. In Februar, Tana decides to order 6% of her Januar order. Write a matri that represents her Februar order. Be sure to include a title as well as labels for each row and each column. Show all of our work even if ou use mental math or a calculator.. In March, Tana decides to order of her Januar order. Write a matri to represent her March order. Be sure to include a title as well as labels for each row and each column. Show all of our work even if ou use mental math or a calculator.. Using the matrices above, determine Tana s total orders for the quarter (Januar, Februar, and March). For our final matri, be sure to include a title as well as labels for each row and each column. Show all of our work even if ou use mental math or a calculator. BE SURE TO LABEL YOUR RESPONSES (), (), AND ().

22 PART IIIММReleased Open-Response Items Algebra I ALGEBRA I OPEN-RESPONSE ITEM D D. Mammoth Spring is one of the nation s largest springs. Water flows from it at a rate of about 9.78 million gallons per hour.. Determine how man gallons of water flow from the spring in one minute. Epress our answer in scientific notation. Show or eplain our work even if ou use mental math or a calculator.. Determine how man gallons of water flow from the spring in one ear. (One ear 6 das.) Epress our answer in scientific notation. Show or eplain our work even if ou use mental math or a calculator.. At Hot Springs Mountain, the springs have a total dail flow of about 8, gallons. How much more water flows dail from Mammoth Spring than from the springs at Hot Springs Mountain? Epress our answer in scientific notation. Show or eplain our work even if ou use mental math or a calculator. BE SURE TO LABEL YOUR RESPONSES (), (), AND (). 9 8

23 PART IIIММReleased Open-Response Items Algebra I ALGEBRA I OPEN-RESPONSE ITEM F F. To demonstrate to her algebra class that information can be represented as a graph, Kirsten recorded data as she rode in the car with her mother. She recorded the distance and the time for several portions of a trip. The car traveled at a constant rate of speed. She found: After starting, the rode for 6 minutes until reaching the grocer store that was miles from home. The stopped and spent minutes in the store. After returning to the car, the traveled more minutes until the reached the gas station. The gas station was 6 miles farther from home than the grocer store. The spent 6 minutes putting gas into the car. After leaving the gas station, the headed home. The rode for 9 minutes and traveled miles toward home before stopping at the post office. The spent minutes mailing a letter at the post office. After leaving the post office, Kirsten and her mother traveled 6 more minutes before arriving home. Carefull cop the coordinate aes below onto the grid in our Student Answer Document. Be certain to include the units on each ais. On the coordinate sstem, draw a line graph to represent the trip. Clearl label the graph b writing the location of Kirsten and her mother (home, grocer store, gas station, post office) used to represent each portion of the trip on or near the correct section of the graph. miles Miles from Home miles miles 6 min. min. min. Time

24 PART VММItem Correlation with Curriculum Framework Released Items for Algebra I * Item Content Standard/Goals Epectation Item Content Standard/Goals Epectation A B C D F 6 *Onl the predominant Content Standard/Goals and learning epectation is listed for the Algebra I items.