Algebra I STAAR Practice Test A

Transcription

Name Class DateAlgebra I STAAR Practice Test A1 What is the value of x if (x, 4) is a solution tothe equation 3x 1 2y 5 14?A 2C 4B 3D 55 A plumber charges 25 for a service call and 15 per hour for repairs. She uses the graphbelow to help determine her costs for repairsthat take varying amounts of time.80y60402 In the equation y 5 x2 1 2x 1 5, what is thevalue for y when x equals 3?20Record your answer and fill in the bubbleson your answer document.O3 Which function best describes the data in thechart below?246x8Time (hours)After one year, she decides to increase herinitial service fee to 30. She needs to updateher graph. Which statement about her graphwill be true?A The slope will be steeper.x1357B The slope will be less steep.y481216C The y-intercept will move away fromthe origin.A y 5 4xB y 5 4x 1 1D The y-intercept will move towardthe origin.Copyright Pearson Education, Inc., or its affiliates. All rights reserved.C y 5 2xD y 5 2x 1 24 Sam mows lawns in the summer. His netprofit for the summer, p, is represented bythe equation p 5 15m 2 250, where m is thenumber of lawns he mows. Which is the bestinterpretation of this information?F Sam made a profit of 235.6 A dance studio charges 35 per monthplus an annual 10 registration fee. Whichequation represents the total cost, c, of theclass for m months?F c 5 35m 2 10G c 5 35m 1 10H m 5 35c 2 10J m 5 35c 1 10G Sam made a profit of 250.H Sam earns 250 per lawn mowed.J It cost Sam 250 to get his lawn mowingbusiness started.GO ONSTAAR Algebra I EOC Assessment PracticeAlgebra I STAAR Practice Test A119

Name Class Date7 The quadratic function below modelsthe profit a company makes based on thequantity of items it sells to customers.Profit (hundreds)4010 Solve the equation 4e 2 5 1 2e 5 e 1 3 2 2efor e.H 87F 7yG 278J 53011 Which of the following graphs would bestrepresent the relationship between thediameter and the area of a circle?2010O2468Area vs. Diameterof a CirclexC 34B 8D 408 Tickets to a school soccer game are 3 foradults and 2 for students. The equation3x 1 2y 5 2050 models the number ofstudents at the game when 2,050 was takenin from ticket sales. What does the slope of32 mean in this situation?DiameterArea vs. Diameterof a CircleBDiameterF The ratio of the number of adults at thegame to the number of students at thegame.Area vs. Diameterof a CircleH The ratio of the cost of one adult ticket tothe cost of one student ticket.CAreaG The ratio of the number of students at thegame to the number of adults at the game.J The ratio of the cost of one student ticketto the cost of one adult ticket.A 490C 330B 440D 290DiameterArea vs. Diameterof a CircleDArea9 The number of fish in a lake was 650 inJanuary. In March, there were 570 fish. If thenumber of fish continues to decrease at thisrate, what is a reasonable estimate for thenumber of fish remaining in September?Copyright Pearson Education, Inc., or its affiliates. All rights reserved.A 3.50AAreaWhat is the greatest profit the company canmake based on the sale these items?AreaNumber of Items SoldDiameterGO ON120Algebra I STAAR Practice Test ASTAAR Algebra I EOC Assessment Practice

Name Class Date12 How will the graph of y 5 5x2 be affectedif the coefficient of x2 becomes 25?15 A function is represented in the mappingdiagram below.F The graph will become wider.xyG The graph will become narrower.13H The graph will be reflected acrossthe y-axis.2537J The graph will be reflected acrossthe x-axis.49Which of the following is NOT anothercorrect representation of this function?A The range is {3, 5, 7, 9} and y 5 2x 1 1.13 At Colson’s Discount Bookstore, paperbackscost 4.50 each and hardbacks cost 8.00each. Which equation best describes thenumber of paperbacks, p, and hardbacks, h,that can be purchased for 65.00?A 8p 1 4.5h 5 65B The domain is {1, 2, 3, 4} and the range is{3, 5, 7, 9}.C x is a positive integer less than 5 andy 5 2x 1 1.D {(1, 3), (2, 5), (3, 7), (4, 9)}B 4.5p 1 8h 5 65C 12.5(p 1 h) 5 65D 65(p 1 h) 5 12.516 Which describes the range of the functionwith the graph shown below?Copyright Pearson Education, Inc., or its affiliates. All rights reserved.414 The function f (x) 5 60 1 10x representsa test score, f (x), of a student studyingx hours for a test. The student studies for nomore than 3 hours. What is the range of thefunction?y2–6–4–2 O x–2F 0#x#3–4G 0 # x # 60H 0 # f (x) # 3J 60 # f (x) # 90F y 0G y 25H x 26J y 26GO ONSTAAR Algebra I EOC Assessment PracticeAlgebra I STAAR Practice Test A121

Name Class Date17 Which equation best describes the graphbelow?4y2–4–2 O24x20 For a fundraiser, the Math Club sold a ticketfor each square yard of a football field. Theyrandomly selected one square yard from thefield to find out the winner of a 5000 prize.If the function p(x) 5 5x 2 5000 gives theprofit from the sale, which statement bestinterprets the slope of this function?F The Math Club sold 5 tickets.–2G The Math Club sold 5000 tickets.–4H The Math Club sold tickets for 5 each.J The Math Club sold tickets for 5000each.A y 5 23xB y 5 213 xC y 5 3xD y 5 13 x21 A relation is given by the ordered pairs{(24, 9), (22, 0), (0, 23), (2, 4), (4, 21)}.What is the domain of the relation?A { , 24, 22, 0, 2, 4, }B {24, 22, 0, 2, 4}C all even integers and their opposites18 What is the x-intercept of the functionf(x) 5 2(x 2 5)?D all real numbersCopyright Pearson Education, Inc., or its affiliates. All rights reserved.Record your answer and fill in the bubbleson your answer document.19 Solve the equation 2x 1 3 2 5x 5 3x 1 5 2 xfor x.A 225B 252C 2D 3GO ON122Algebra I STAAR Practice Test ASTAAR Algebra I EOC Assessment Practice

Name Class Date22 John plants trees for a living. He has weeklyexpenses of 425 plus an additional 35 foreach tree. If he charges 120 for each tree heplants, how many trees does he have to planteach week before he can make a profit?Record your answer and fill in the bubbleson your answer document.23 The following scatter plot shows therelationship between the forearm length andshoe size of a group of mathematics students.24 The function f (x) 5 9.75x represents thetotal cost, f (x), for x tickets to a movie.Which statement is true if the functionchanges to f (x) 5 10.25x?F The total cost increased from 9.75to 10.25.G The total cost decreased from 10.25to 9.75.H The cost for each movie ticket increasedfrom 9.75 to 10.25.J The cost for each movie ticket decreasedfrom 10.25 to 9.75.Shoe Size(Men's US)Forearm Length vs.Shoe Size11109876525 The line represented by the equationy 5 2x 1 2 is graphed below.4Copyright Pearson Education, Inc., or its affiliates. All rights reserved.8 9 10 11 12Forearm Length(inches)Based on these results, if Jim has a forearmlength of 11 inches, which is the best estimateof his shoe size?A 12C 6B 8D 4y2–4–2 O24x–2–4Which of the following best describes thechange in the graph if the line becomesy 5 212x 1 2?A The x-intercept increases.B The y-intercept increases.C The x-intercept decreases.D The y-intercept decreases.GO ONSTAAR Algebra I EOC Assessment PracticeAlgebra I STAAR Practice Test A123

Name Class Date26 A model rocket was fired upward at an initialspeed of 60 meters per second. The functionh 5 60t 2 4.9t2 shows the relationshipbetween the time elapsed and the rocket’sheight above the ground, where t is the timein seconds and h is the height in meters. Thegraph of this function is shown below.27 A movie theater sold a total of 205 tickets toa movie, for a total of 1621. Adult ticketswere 9 and student tickets were 5. Whatwas the number of student tickets sold?Record your answer and fill in the bubbleson your answer document.25028 Which best describes the correlation shownin the scatterplot below?200150100500268104Time (seconds)12What is the best conclusion about therocket’s movement?Liquid in Container(Gallons)Height (meters)30032y24168O2468xTime (Days)F The speed of the rocket was greatest atabout 6 seconds after it was fired.F absolute correlationG The rocket traveled 180 meters.G negative correlationH The rocket reached its maximum heightin about 6 seconds.H positive correlationJ no correlationCopyright Pearson Education, Inc., or its affiliates. All rights reserved.J The rocket returned to the ground inabout 6 seconds.GO ON124Algebra I STAAR Practice Test ASTAAR Algebra I EOC Assessment Practice

Name Class Date29 Which equation best represents the area, A,of the triangle below?31 What are the x-intercepts of the graph of theequation y 5 x2 1 3x 2 10?A x 5 22, x 5 25B x 5 22, x 5 5C x 5 2, x 5 52x12D x 5 2, x 5 25xB A 5 (2x 1 2)x32 Which best describes the effect of shiftingthe y-intercept of this graph up 3 units, butkeeping the x-intercept the same?C A 5 12 (2x 1 2)x4D A 5 (2x 1 2) 2 x2A A 5 (2x 1 2) 1 x–4y–2 O24x–2Copyright Pearson Education, Inc., or its affiliates. All rights reserved.30 A function is described by the equationf(x) 5 2x 1 3. The replacement set for theindependent variable is {2, 4, 6, 8}. Which setis the corresponding set for the dependentvariable?–4F The slope increases.G The slope decreases.F {4, 8, 12, 16}H The slope does not change.G {2, 4, 6, 8}J The slope changes sign.H {1, 5, 9, 13}J {7, 11, 15, 19}GO ONSTAAR Algebra I EOC Assessment PracticeAlgebra I STAAR Practice Test A125

Name Class Date33 The table below shows the relationshipbetween the number of buses in the schoolparking lot and the number of students onthose buses.Number ofBuses, xNumber ofStudents, y1252503754100What does the slope of the line containingthese points represent?36 The quadratic expression x2 1 x 2 12 ismodeled below using algebraic tiles.What are the solutions to the equationx2 1 x 2 12 5 0?F x 5 23 and x 5 24A the number of students on an empty busG x 5 3 and x 5 4B the number of students each bus can holdH x 5 3 and x 5 24C the number of buses used by the schoolJ x 5 23 and x 5 4D the number of students at the schoolF 2 and 5H 22 and 5G 2 and 25J 22 and 25Record your answer and fill in the bubbleson your answer document.35 Which type of function is graphed below?4y2–4–2 O24x–2–4A quadraticB exponentialC linearD logarithmic126Algebra I STAAR Practice Test AGO ONSTAAR Algebra I EOC Assessment PracticeCopyright Pearson Education, Inc., or its affiliates. All rights reserved.34 What are the roots of the quadratic equation2x2 1 6x 2 20 5 0?37 The distance Doug travels is directly relatedto the amount of time he travels. Dougtravels 168 miles at a constant rate for3 hours. How many hours will it take Dougto travel 392 miles at the same rate?

Name Class Date38 What is the equation of the line that passesthrough the points (0, 3) and (2, 0)?41 Which equation best describes therelationship between hours of studying, h,and the grade on the test, g, in this table?F y 5 23 x 1 3Hours of StudyingGrade on Test(%)0740.5801.0861.5922.098G y 5 223 x 1 2H y 5 232 x 1 3J y 5 32 x 1 2A g 5 6h 1 3739 Jamie and Cynthia sold a total of 84 raffletickets. Jamie sold 3 fewer than twice thenumber Cynthia sold. Which system ofequations could be used to determine thenumber of raffle tickets sold by Jamie, j, andCynthia, c?A j 1 c 5 84j 1 2c 5 3Copyright Pearson Education, Inc., or its affiliates. All rights reserved.B j 1 c 5 842j 2 c 5 23B h 5 6g 1 37C g 5 12h 1 74D h 5 12g 1 7442 Simplify the algebraic expression22(x 1 3)(x 2 3) 1 3(x2 1 2x 1 1).F x2 1 6x 1 21C j 1 c 5 84j 1 3c 5 2G 5x2 1 12x 1 9D j 1 c 5 84j 2 2c 5 23J x2 1 6x 1 1540 If the domain of the function y 5 2x2 1 2 is0 , x , 5, what is the corresponding range?H 2x2 1 6x 1 943 What is the solution to the system ofequations shown below?F 0,y,54x 2 3y 5 272x 1 2y 5 14G 2 , y , 10H 0 , y , 52A (1, 7)J 2 , y , 52B (2, 5)C (3, 4)D (0, 1)GO ONSTAAR Algebra I EOC Assessment PracticeAlgebra I STAAR Practice Test A127

Name Class Date46 The graph below best represents which ofthe following situations?Altitude (miles)Distance44 Which situation best describes the graph?1.00.750.50.25Time1G A car traveled at a constant rate, thenstopped at a traffic light, then traveled ata constant rate.H Jake jogged at a constant rate, thenstopped to take a break.J Lydia ascended up a mountain, thendescended down the mountain.45 What is the first step in solving the inequality23x 1 1 , 211?A Add 11 to both sides of the inequality.B Divide both sides of the inequality by 23.C Subtract 1 from both sides of theinequality.D Divide both sides of the inequality by 23and reverse the inequality sign.234Time (hours)5F An ant crawls into his anthill.G A person rides a roller coaster.H A family drives through a mountainousarea.J A racer runs a one-mile race aroundthe track.47 At a sporting goods store, the total cost ofa baseball and a basketball is 12.50. Thecost of three baseballs and two basketballs is 29.00. Which pair of equations can be usedto determine the price of a baseball, b, andthe price of a basketball, k?A b 1 k 5 12.505(b 1 k) 5 29.00B 3b 1 2k 5 12.50b 1 k 5 29.00C b 1 k 5 12.503b 1 3k 5 29.00D b 1 k 5 12.503b 1 2k 5 29.00GO ON128Algebra I STAAR Practice Test ASTAAR Algebra I EOC Assessment PracticeCopyright Pearson Education, Inc., or its affiliates. All rights reserved.F An airplane took off from the airport,then turned right, then turned left.

Name Class Date48 Jane purchased x cans of paint at 2 eachand y packs of markers at 4 each. She spentless than 20, not including tax. Use the gridbelow to graph the inequality 2x 1 4y , 20.850 A function is represented in the mappingdiagram below.yxf(x)21122423924164–8–4 O48x–4–8Which point represents a reasonable numberof cans of paint and packs of markers thatJane purchased?F (5, 3)H (3, 5)G (2, 3)J (1, 5)F The domain is {21, 22, 23, 24} andf(x) 5 x2.G The domain is {21, 22, 23, 24} andf(x) 5 x2.H x is a negative integer greater than 25and f(x) 5 x2.J {(21, 1), (22, 4), (23, 9), (24, 16)}51 The quadratic function below models thepath of a soccer ball as it is kicked up inthe air.40A x 5 35 1 25f(x)B x 5 25 1 35f(x)C f(x) 5 25 1 35xD f(x) 5 35 1 25xHeight (Feet)Copyright Pearson Education, Inc., or its affiliates. All rights reserved.49 The equation y 5 35 1 25x represents thecost, y, Jeremy pays a plumber for x hours ofservice. What function represents the cost,f(x) for x hours of service?Which of the following is NOT anothercorrect representation of this function?y302010O1234xTime (seconds)About how long does it take the ball to hitthe ground?A 1.5 secondsB 3 secondsC 5 secondsD 40 secondsGO ONSTAAR Algebra I EOC Assessment PracticeAlgebra I STAAR Practice Test A129

Name Class Date52 What is m, the slope of the line that is shownin the graph below?54 Which equation best represents the line onthe graph?y4y826–44–2 O24x–22–4O2468xF y 1 2x 5 2F 53G 2y 2 2x 5 2G 253H 2y 2 x 5 21J 2y 1 x 5 2H 35J 235Hours, xAccumulatedSnowfall (in inches),f(x)11.7534.2545.579.25Copyright Pearson Education, Inc., or its affiliates. All rights reserved.53 The table shows the number of inches ofaccumulated snowfall, f(x), after x hours.Can this situation be represented by a linearfunction? If so, what is the function?A noB yes; f(x) 5 1.75xC yes; f(x) 5 1.25x 1 0.5D yes; f(x) 5 1.75x 1 0.5STOP130Algebra I STAAR Practice Test ASTAAR Algebra I EOC Assessment Practice

20 For a fundraiser, the Math Club sold a ticket for each square yard of a football field. They randomly selected one square yard from the field to find out the winner of a 5000 prize. If the function p(x) 5 5x 2 5000 gives the profit from the sale, which statement best interprets the slope of this f