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Algebra IAdministered May 2019Copyright 2019, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without expresswritten permission from the Texas Education Agency.

--------------------------------STAARSTAAR ALGEBRA IREFERENCE MATERIALS State of TexasAssessments ofAcademic ReadinessFACTORINGPerfect square trinomialsDifference of squaresa2 2ab b2 (a b)2a2 2ab b2 (a b)2a2 b2 (a b)(a b)PROPERTIES OF EXPONENTSProduct of powersQuotient of powersam an a(m n)aman a(m n)Power of a power(am)n amnRational exponentan Negative exponentam n nam1anLINEAR EQUATIONSStandard formAx By CSlope-intercept formy mx bPoint-slope formy y1 m(x x1)Slope of a linem y2 y1x2 x1QUADRATIC EQUATIONSStandard formf ( x) ax 2 bx cVertex formf ( x) a( x h)2 kQuadratic formulax Axis of symmetryx b2b 4ac2a b2a

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ALGEBRA IAlgebra IPage 7

DIRECTIONSRead each question carefully. For a multiple-choice question, determine thebest answer to the question from the four answer choices provided. For agriddable question, determine the best answer to the question. Then fill in theanswer on your answer document.1 What is the slope of the graph of y 12x 19?A 19 B C19121219D 12Algebra IPage 8

2 A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows theheight in yards of the golf ball above the ground as a quadratic function of x, the horizontaldistance in yards of the golf ball from the tee box.y(110, 36)(0, 6)(230, 0)What is the domain of the function for this situation?F0 x 230G 6 y 36H 0 y 36J6 x 2303 Which value of x makes the equation 1.25(4x 10) 7.5 true?A3.5B 1C 0.5D 4Algebra IPage 9x

4 Which function is equivalent to g(x) x 2 15x 54?Fg(x ) (x 9)(x 6)G g(x ) (x 18)(x 3)H g(x ) (x 9)(x 6)Jg(x ) (x 18)(x 3)5 The table shows the linear relationship between the average height in feet of trees on a treefarm and the number of years since the trees were planted.Average Tree HeightNumber of Years Sincethe Trees Were PlantedAverage Height (ft)136111510244580108What is the rate of change of the average height in feet of the trees on the farm with respectto the number of years since the trees were planted?A14 ft/yrB3 ft/yrC7 ft/yrD 10 ft/yr6 What is the equation in slope-intercept form of the line that passes through the points ( 4, 2)and (12, 6)?Fy 0.25x 3G y 0.25x 4.5H y 4x 18Jy 4x 42Algebra IPage 10

7 Which graph best represents 5y 6x 15?yy987654321A–9 –8 –7 –6 –5 –4 –3 –2 –1–1–2–3–4–5–6–7–8–91 2 3 4 5 6 7 8 9xC–9 –8 –7 –6 –5 –4 –3 –2 –1–1–2–3–4–5–6–7–8–9y–9 –8 –7 –6 –5 –4 –3 –2 –1–1–2–3–4–5–6–7–8–91 2 3 4 5 6 7 8 9x1 2 3 4 5 6 7 8 9xy987654321B9876543211 2 3 4 5 6 7 8 9xD987654321–9 –8 –7 –6 –5 –4 –3 –2 –1–1–2–3–4–5–6–7–8–98 A baker determined the annual profit in dollars from selling pies using p(n) 52n 0.05n2,where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?F 20,780G 12,800H 28,800J 20,760Algebra IPage 11

9 An exponential function is graphed on the grid.y2018161412108642 11234 2Which function is best represented by the graph?xA 1 g(x ) 6 3 Bg(x ) 6(3)xC 1 g(x ) 6 3 xD g(x ) 6 (3)xAlgebra IPage 12567x

10 What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and isperpendicular to the line represented by y y 4x 169G y 4x 169H y 9x 814J9x 814Fy Algebra IPage 134x 5?9

11 A student worked out at a gym continuously for 50 minutes. The graph shows the remainingpercentage of the workout as a linear function of x, the time in minutes.Student’s Workouty100Percentage Remaining9080706050403020100510 15 20 25 30 35 40 45 50xMinutesWhich answer choice best describes the domain and range of the function for this situation?ADomain: All real numbers greater than or equal to 0 and less than or equal to 100Range: All real numbers greater than or equal to 0 and less than or equal to 50B 2 Domain: Range: 100 CDomain: All real numbers greater than or equal to 0 and less than or equal to 50Range: All real numbers greater than or equal to 0 and less than or equal to 100D Domain: 100 2 Range: Algebra IPage 14

12 The graph of quadratic parent function f was transformed to create the graph ofg(x ) f (x 2) 5. Which graph best represents g?yy776655443322F1 7 6 5 4 3 2 1 11 2 3 4 5 6 7xH 2 2 3 3 4 4 5 5 6 6 7 7y6654433221Algebra IPage 15xy5 7 6 5 4 3 2 1 11 2 3 4 5 6 777G1 7 6 5 4 3 2 1 11 2 3 4 5 6 7xJ1 7 6 5 4 3 2 1 1 2 2 3 3 4 4 5 5 6 6 7 71 2 3 4 5 6 7x

13 Which expression is equivalent to45m 6p2v1215m 2p8v 4for all values of m, p, and v where theexpression is defined?ABCD3v 8m 8 p63v16m4p630m3p4v 330v 3m3p414 What is the positive solution to this equation?4x 2 12x 135Record your answer and fill in the bubbles on your answer document.15 A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each andbriskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cookedon the grill.Which inequality represents all possible combinations of x, the number of sausage links thatwill be cooked on the grill, and y, the number of briskets that will also be cooked?A 6x 2y 120B 2x 6y 120C6x 2y 120D 2x 6y 120Algebra IPage 16

6r 2 18 5r)?16 Which expression is equivalent to (10 7 r r 2) ( F 7r 2 2r 8G 7r 2 12r 8H 7r 2 12r 8J7r 2 2r 817 Which graph best represents the solution set of y 3x 4?yy1010998877665544332A1 10 9 8 7 6 5 4 3 2 1 11 2 3 4 5 6 7 8 9 10xC 2 2 3 3 4 4 5 5 6 6 7 7 9 10 101099887766554431 2 3 4 5 6 7 8 9 10x321Page 17xy10 10 9 8 7 6 5 4 3 2 1 11 2 3 4 5 6 7 8 9 10 8 9yAlgebra I1 10 9 8 7 6 5 4 3 2 1 1 8B21 2 3 4 5 6 7 8 9 10xD21 10 9 8 7 6 5 4 3 2 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10

18 A bank account earning annual compound interest was opened, and no additional deposits orwithdrawals were made after the initial deposit. The balance in the account after x years canbe modeled by b(x ) 850(1.025)x .Which statement is the best interpretation of one of the values in this function?FThe initial balance of the account decreases at a rate of 97.5% each year.G The balance in the account increases at a rate of 2.5% each year.H The initial balance of the account was 1,025.JThe balance in the account at the end of one year is 850.19 A company collected data for the number of text messages sent and received using atext-message application since October 2011. The table shows the number of text messagessent and received in billions over time. The data can be modeled by a quadratic function.Text MessagesNumber of Monthssince October 2011, t5310101517202725443064358640112Which function best models the data?An(t ) 0.002t 2 0.55t 5.02Bn(t ) 0.072t 2 0.15t 2.73Cn(t ) 0.002t 2 5.02D n(t ) 0.072t 2 2.73Algebra IPage 18Number of TextMessages, n(t)(billions)

20 The graph of a linear function is shown on the grid.y987( 3, 3.6)654(5, 2)321 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4 5 6 7 8 9What is the rate of change of y with respect to x for this function?Record your answer and fill in the bubbles on your answer document.Algebra IPage 19

21 Which graph best represents y x 2 6x 1?yy1010998877665544332A1 10 9 8 7 6 5 4 3 2 1 11 2 3 4 5 6 7 8 9 10xC 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 101010998877665544331 10 9 8 7 6 5 4 3 2 1 1Page 201 2 3 4 5 6 7 8 9 10xDx1 2 3 4 5 6 7 8 9 10x21 10 9 8 7 6 5 4 3 2 1 1 2 2 3 3 4 4 5 5 6 6 7 7 81 2 3 4 5 6 7 8 9 10y2Algebra I1 10 9 8 7 6 5 4 3 2 1 1yB2 8 9 9 10 10

22 A company advertises on a website. A worker tracked the number of visits to the website andthe number of clicks on the advertisement. The table shows the data for several days. A linearfunction can be used to model the data.Website AdvertisementNumber of Visitsto Website, xNumber of Clickson Advertisement, y15314629384713091453307211,04560510321,10663Based on the table, what is the best prediction of the number of clicks on the advertisement if1,500 people visit the website?F77G 137H 83J105Algebra IPage 21

23 The graph of a linear function is shown on the grid.y987654321 9 8 7 6 5 4 3 2 1 112 2 3 4 5 6 7 8 9Which equation is best represented by this graph?Ay 2 7(x 7)5By 2 7(x 7)5Cy 2 5(x 7)7D y 2 Algebra IPage 225(x 7)73456789x

224 Which expression is equivalent to (xy 6) for all values of x and y where the expression isdefined?Fxy 36Gxy 36H x 2y 12Jx 2y1225 A college student completed some courses worth 3 credits and some courses worth 4 credits.The student earned a total of 59 credits after completing 18 courses.How many courses worth 3 credits did the student complete?A13B5C20D 39Algebra IPage 23

26 The graph of linear function f passes through the point (1, 9) and has a slope of 3.y987654321 9 8 7 6 5 4 3 2 1 1123456789x 2 3 4 5 6 7 8 9What is the zero of f ?F2G 4H 6J 227 What is the value of the y-intercept of the graph of h(x) 29(5.2)x ?Record your answer and fill in the bubbles on your answer document.Algebra IPage 24

28 The graph of a quadratic function is shown on the grid.y21 3 2 1 11234 2 3 4 5 6 7 8 9 10Which function is best represented by this graph?Fh(x) x 2 3x 9G h(x) x 2 3x 9H h(x) x 2 6xJh(x) x 2 6x29 Which expression is equivalent to 24x 2 22x 5?A (12x 5)(2x 1)B (8x 5)(3x 1)C (12x 5)(2x 1)D (8x 5)(3x 1)Algebra IPage 2556789x

30 A system of equations is graphed on the grid.y76(1, 5)5( 4, 4)43( 1, 3)21 7 6 5 4 3 2 1( 1, 2) 1123 2 3 4 5 6 7Which system of equations does the graph represent?Fy x 4y 2x 2Gy x 4y 2x 4Hy x 4y 2x 2Jy x 4y 2x 4Algebra IPage 264567x

31 The table represents some points on the graph of an exponential function.xf(x) 212.5 115018121.6225.92Which function represents the same relationship? 5 A f (x) 15 6 6 B f (x) 18 5 C 6 f (x) 15 5 5 D f (x) 18 6 Algebra IPage 27xxxx

32 The table shows the amount of pet food in cups remaining in an automatic feeder as afunction of the number of meals the feeder has dispensed.Automatic FeederNumber of MealsDispensed, nAmount of Pet FoodRemaining, f(n)(cups)1213156673Based on the table, which function models this situation?Ff (n) 3n 24G f (n) 1n 163 3n 64H f (n) Jf (n) 1n 8333 The graph of f (x) x 2 was transformed to create the graph of g(x ) f (x) 9. Whichstatement about the graphs is true?AThe graph of g is a reflection of the graph of f across the x-axis.BThe vertex of the graph of g is 9 units to the right of the vertex of the graph of f.CThe graph of g is a reflection of the graph of f across the y-axis.D The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.334 The expression (x 22)(x7) is equivalent to x p . What is the value of p?Record your answer and fill in the bubbles on your answer document.Algebra IPage 28

35 The graph of linear function k passes through the points ( 7, 0) and (1, 8).y987654321 9 8 7 6 5 4 3 2 1 11234 2 3 4 5 6 7 8 9Which statement must be true?A4The slope of the graph of k is .3B 8).The graph of k passes through the point ( 1, CThe zero of k is 7. 7.D The x-intercept of the graph of k is Algebra IPage 2956789x

36 Which expression is equivalent to 210d 2 63d ?F21d(10d 3)G 21d(10d 3)H 21(10d 3)J21(10d 3)37 What is the value of x in the solution to this system of equations?3x 5y 22y 5x 32A 6.5B0.5C6.5 0.5D Algebra IPage 30

38 Which graph best represents y 10(0.85)x ?yy1413121110987654321F–14–12 654321H24x–14–12 –10y–4Algebra IPage 654321J2468101214x–4–2–1–2–3–410

39 The table shows a linear relationship between x and y.xy 2096 1260 633 215What is the rate of change of y with respect to x?A B29C D92922940 Which value of x is a solution to this equation?5x 2 36x 36 0Fx 6Gx 4H x 1.8Jx 1.2Algebra IPage 32

41 A part of an exponential function is graphed on the grid.y10987654321 2 112xWhich inequality best represents the domain of the part shown?Ax 2By 4.5Cx 4.5 2D y (6m 8) 4(17 m)?42 What is the solution to Record your answer and fill in the bubbles on your answer document.Algebra IPage 33