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STAAR State of TexasAssessments ofAcademic ReadinessAlgebra IAdministered May 2021RELEASEDCopyright 2021, 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 Which expression is equivalent to 184 ?A 92B 2 46C4 23D 4 46Algebra IPage 8

2 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 function is best represented by this graph?Fg(x ) 6x 4G g(x ) 4x 23H g(x ) 3x 62J2x 43Algebra IPage 9g(x ) 3456789x

3 The values in the table represent a linear relationship between x and y.x 8.5 6.5 2.5 1y 92 72 32 17What is the rate of change of y with respect to x?A 10B 17C 10 17D 4 Given g(x) x 2 6x 16, which statement is true?FThe zeros are 8 and 2 , because the factors of g are (x 8) and (x 2). 2, because the factors of g are (x 8) and (x 2).G The zeros are 8 and H The zeros are 2 and 8, because the factors of g are (x 2) and (x 8).JThe zeros are 2 and 8, because the factors of g are (x 2) and (x 8).Algebra IPage 10

5 Which ordered pair is in the solution set of 8x 16y 32?y7654321 7 6 5 4 3 2 1 11234567x 2 3 4 5 6 7A (0, 2)B ( 3, 5)C ( 1, 1)D (4, 0)6 What is the equation in slope-intercept form of the line that passes through the points ( 26, 11) and (39, 34)?y 9x 713G y 9x 713FH y 9x 713J9x 713y Algebra IPage 11

7 Two characteristics of quadratic function p are given. The axis of symmetry of the graph of p is x 3. Function p has exactly one zero.Based on this information, which graph could represent p?yy33221 9 8 7 6 5 4 3 2 1 11123x 2A 3 2 1 1C 3B 4 5 6 6 7 7 8 8 9 932211Algebra IPage 12 3456789123456789xy3 23 3 5 9 8 7 6 5 4 3 2 1 12 2 4y1123x 3 2 1 1D 2 3 4 4 5 5 6 6 7 7 8 8 9 9x

58 Which expression is equivalent to (x9yz 4) ?Fx14y 6z 9Gx14y 5z 9H x 45yz 20Jx 45y 5z 209 The graph of linear function g passes through the points ( 7, 4) and (7, 6), as shown.y987654321 9 8 7 6 5 4 3 2 1 11234 2 3 4 5 6 7 8 9What are the slope and y-intercept of the graph of g?AThe slope is5 1., and the y-intercept is 7BThe slope is5, and the y-intercept is 1.7CThe slope is7 1., and the y-intercept is 5D The slope isAlgebra IPage 137, and the y-intercept is 1.556789x

10 What is the solution to 4(y 3) 19 8(2y 3) 7?F G1212H 2J211 The graph shows the number of game consoles sold in millions since 2009.Game ConsoleNumber of Game Consoles Sold(millions)g(x)25(0, 25.5)2015(1, 15.3)(2, 9.18)10501234567xNumber of Years Since 2009Based on this information, which function best models the number of game consoles sold inmillions x years since 2009?Ag(x ) 0.6(25.5)xBg(x ) 25.5(0.6)xCg(x) 6.12(25.5)xD g(x ) 25.5(6.12)xAlgebra IPage 14

12 A ball is placed in a machine that throws the ball up in the air. The table represents somepoints on the graph of a function that models the ball’s distance from the ground with respectto the time since the ball has been thrown.BallTime Since Thrownfrom Machine (seconds)00.250.500.751.001.251.501.75Distance from Ground(meters)02.764.906.437.357.667.356.43What is the range for this situation?FAll real numbers less than or equal to 7.66G All real numbers less than or equal to 1.25H All real numbers greater than or equal to 0 and less than or equal to 7.66JAll real numbers greater than or equal to 0 and less than or equal to 1.25Algebra IPage 15

13 Which graph best represents the solution set to this system of inequalities?x y 1x y 2yy66554433221A 6 5 4 3 2 1 11 2 3 4 5 6xC 6 5 4 3 2 1 1 2 2 3 3 4 4 5 5 6 6y6655443322 6 5 4 3 2 1 1Algebra IPage 161 2 3 4 5 6xy1B11 2 3 4 5 6xD1 6 5 4 3 2 1 1 2 2 3 3 4 4 5 5 6 61 2 3 4 5 6x

14 Given p(x ) 4(x 15)2 2, what is the value of p(7)?Record your answer and fill in the bubbles on your answer document.15 A customer paid a total of 6.00 for 68 copies at a print shop. Some of the copies wereblack-and-white copies, and the rest were color copies. Each black-and-white copy cost 0.08. Each color copy cost 0.15.Which system of equations can be used to find b, the number of black-and-white copies, andc, the number of color copies that the customer paid for at the print shop?Ab c 6.000.08b 0.15c 68Bb c 680.15b 0.08c 6.00Cb c 6.000.15b 0.08c 68Db c 680.08b 0.15c 6.00Algebra IPage 17

16 The graph of a quadratic function is shown on the grid.y87654321 8 7 6 5 4 3 2 1 112 2 3 4 5 6 7 8Which function is best represented by this graph?Ff (x ) 1 2x 162G f (x) x 2 16H f (x) J1 2x 82f (x ) x 2 8Algebra IPage 18345678x

17 The table of values shows a linear relationship between x and y.xy 79 213 78 15What is the slope of the line represented by the table of values?A 85B 58C85D5818 Which expression is a factored form of 2x 2 25x 63?F(x 9)(2x 7)G (x 9)(2x 7)H (x 7)(2x 9)J(x 7)(2x 9)Algebra IPage 19

19 What is the equation in standard form of the line that passes through the point (6, 1) and isparallel to the line represented by 8x 3y 15? 45A 8x 3y 51B 8x 3y C8x 3y 45D 8x 3y 5120 The graph of linear function h is shown on the grid.y11109(10, 8)87654321 11 10 9 8 7 6 5 4 3 2 1 1( 5, 4)123456789 10 11x 2 3 4 5 6 7 8 9 10 11Given f (x) x and h(x ) af (x), what is the value of a?Record your answer and fill in the bubbles on your answer document.Algebra IPage 20

21 A conservation agency tracks the sea turtle population by counting the number of nestingsites where the turtles lay their eggs. The table shows the numbers of nesting sites for severalyears since 2001. The data can be modeled by an exponential function.Sea TurtlesNumber of YearsSince 2001, xNumber of NestingSites, 691Which function best models the data?An(x) 25,956.80(1.08)xBn(x) 46,797.94(0.93)xCn(x) 1.08(25,956.80)xD n(x) 0.93(46,797.94)xAlgebra IPage 21

22 A part of linear function g is graphed on the grid.y7654321 7 6 5 4 3 2 1 11234567x 2 3 4 5 6 7Which inequalities best describe the domain and range of the part shown?FDomain: 4 x 5Range: 7 g(x ) 6G Domain: 7 x 6Range: 4 g(x ) 5H Domain: 4 x 5Range: 7 g(x ) 6JDomain: 7 x 6Range: 4 g(x ) 5Algebra IPage 22

23 Which value of x is a solution to this equation?3x 2 30x 72 0Ax 12Bx 4Cx 2 6D x Algebra IPage 23

24 The tables of ordered pairs represent some points on the graphs of lines f and g.Line fxLine gyx27.00 34410.50 20715.751 121122.754 24Which system of equations represents lines f and g?Fy 1.75x 3.5y 4x 8Gy 1.75x 3.5y 4x 2Hy 3.5x 1.75y 4x 8Jy 3.5x 1.75y 4x 2Algebra IPage 24y

25 The graph of a linear function is shown on the grid.y87654321 8 7 6 5 4 3 2 1 112345678x 2 3 4 5 6 7 8What is the rate of change of y with respect to x for this function?A79B C34D 793426 Which expression is equivalent todefined?F12x 3y 4G 27x 2y 3H 4x 2y 3J6x 3y 4Algebra IPage 2536x 4y 5(3xy)2for all values of x and y where the expression is

x 4 27 What is the value of the y-intercept of the graph of g(x) 73 ? 5 Record your answer and fill in the bubbles on your answer document.Algebra IPage 26

28 The graph of f (x) x 2 is reflected over the x-axis and is stretched horizontally to create thegraph of function g. Which graph could represent 2–2–2–4–4–6–6–8–8y–8Algebra IPage 4–2–2–2–4–4–6–6–8–8x

1 3 29 Which expression is equivalent to p 1 p 3 ? 2 2 A 2p2 3B4p2 3C3 2p 5p 34D3 2p 10p 3430 Which inequality is best represented by the graph?y987654321 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9F4x 7y 49G 4x 7y 49H 7x 4y 28J7x 4y 28Algebra IPage 28123456789x

31 Which situation best shows causation?AThe length of a rectangle affects the width of the rectangle.BThe amount of time a cell phone is used affects the charge of its battery.CThe number of ice-cream bars sold affects the number of milkshakes sold.D The number of soccerballs a team owns affects the number of games the team wins duringthe soccer season.Algebra IPage 29

32 Which expression is equivalent to 16w 2 24w 9?F(4w 3)2G (4w 3)2H (8w 3)2J(8w 3)233 Which graph best represents a function with a domain of all real numbers less than or equalto 6?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 –1–1–2–3–4–5–6–7–8–9Algebra IPage 301 2 3 4 5 6 7 8 9xy987654321B9876543211 2 3 4 5 6 7 8 9xD987654321–9 –8 –7 –6 –5 –4 –3 –2 –1–1–2–3–4–5–6–7–8–91 2 3 4 5 6 7 8 9x

34 Quadratic function h can be used to model the height in feet of a rocket from the groundt seconds after it was launched. The graph of the function is shown.RocketHeight from Ground (feet)h(t)250225200175150(1.5, 144)125(6, 144)1007550250(0, 0)(7.5, 0)0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5tTime (seconds)What is the maximum value of the graph of the function?Record your answer and fill in the bubbles on your answer document.35 Which expression is equivalent to (15a0b2c 34)(3 a16b 29c 0) for all values of a, b, and c wherethe expression is defined?ABCD18b5845b5818a16c 34b2745a16c 34Algebra IPage 31b27

36 A contractor’s total earnings from a job include a fixed amount plus an amount based on thenumber of hours worked. The values in the table represent the linear relationship between thenumber of hours worked and the contractor’s total earnings in dollars.ContractorNumber ofHours WorkedTotal Earnings0 20.005 63.7515 151.2525 238.7535 326.2540 370.00What is the rate of change of the contractor’s total earnings in dollars with respect to thenumber of hours worked?F 8.75 per hour workedG 9.25 per hour workedH 10.00 per hour workedJ 20.00 per hour worked37 What is the solution set for 2x 2 15 11x ? 1.5} A { 5,B {2.5, 3}C{1.5, 5} 2.5}D { 3,Algebra IPage 32

38 The table represents some points on the graph of an exponential function.xf(x)2363544815121.56182.25Which function represents this relationship?F 3 f (x) 16 2 2 G f (x) 16 3 3 H f (x) 36 2 J 2 f (x) 36 3 Algebra IPage 33xxxx

39 Which statement best represents the equation of the line shown on the grid and itsrelationship to the x-axis?y4321 4 3 21 1234x 1 2 3 4AThe equation of the line is x 2.5, and the line is parallel to the x -axis.BThe equation of the line is x 2.5, and the line is perpendicular to the x -axis.CThe equation of the line is y 2.5, and the line is parallel to the x -axis.D The equation of the line is y 2.5, and the line is perpendicular to the x -axis.40 Which expression is equivalent to 9n2 25?F(3n 5)2G (3n 5)(3n 5)H 9(n 4)2J9(n 4)(n 4)Algebra IPage 34

41 Linear function t has an x-intercept of 1 and a y-intercept of 5. Which graph bestrepresents t?yy77665544332A21 7 6 5 4 3 2 1 11 2 3 4 5 6 7xC 2 2 3 3 4 4 5 5 6 6 7 7y6554433221Algebra IPage 35x76 7 6 5 4 3 2 1 11 2 3 4 5 6 7y7B1 7 6 5 4 3 2 1 11 2 3 4 5 6 7xD1 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

42 The value of y is directly proportional to the value of x. When x 3.5, the value of y is 14.What is the value of y when x 28 ?Record your answer and fill in the bubbles on your answer document.Algebra IPage 36