STAAR Algebra I May 2021 Released

1 STAARS tate of Texas Assessments of Academic Readiness Algebra I Administered May 2021 Released Copyright 2021, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without express written permission from the Texas Education Agency. ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------- STAARS tate of Texas Assessments of Academic Readiness STAAR Algebra I REFERENCE MATERIALS FACTORING a2 22 + 2ab+ b = (a+ b)a2 2ab+b2=(a b)2 Perfect square trinomials Difference of squares a2 b2 = (a b)( a+ b) PROPERTIES OF EXPONENTS Product of powers aamn= a(m+ n) am =a(m n) an Quotient of powers Power of a power (amn)

2 =amn m na n= am Rational exponent Negative exponent a n1 = an LINEAR EQUATIONS Standard form Ax + By = C Slope-intercept form y = mx+ b Point-slope form y y = mx( x )11y ym=21 x x21 Slope of a line QUADRATIC EQUATIONS Standard form fx() = ax2 + bx+ cfx()=a(x h)2 +k Vertex form bb2 4acx = 2a Quadratic formula bx= 2a Axis of symmetry ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- -------------------------- Algebra I Algebra I Page 7 DIRECTIONS Read

3 Each question carefully. For a multiple-choice question , determine the best answer to the question from the four answer choices provided. For a griddable question , determine the best answer to the question . Then fill in the answer on your answer document. 1 Which expression is equivalent to A 92 B246 C423 D446 184 ? Algebra I Page 8 y 9 8 7 6 5 4 3 2 1 9 8 7 6 5 4 3 2 1 1 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 x 2 The graph of a linear function is shown on the grid. Which function is best represented by this graph? F gx()= 6x+ 4 2gx()= 4x 3 G3gx()= x+ 62 H2gx()= x+ 43 JAlgebra I Page 9 8 8 23 The values in the table represent a linear relationship between xand y.

4 X 1 y 92 72 32 17 What is the rate of change of ywith respect to x? A 10 B17 C 10 D 17 4 Given gx() = x 2 6x 16, which statement is true? F The zeros are and 2, because the factors of gare (x+ 8) and (x 2). GThe zeros are and 2, because the factors of gare (x+ 8) and (x+ 2). HThe zeros are and 8, because the factors of gare (x+ 2) and (x 8). JThe zeros are 2 and 8, because the factors of gare (x 2) and (x 8). Algebra I Page 10 y 7 6 5 4 3 2 1 7 7 6 5 4 3 2 1 1 1 2 3 4 5 6 2 3 4 5 6 7 x 5 Which ordered pair is in the solution set of 8x + 16y > 32?

5 A (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)? 9y = x + 713 F 9y = x 713 G9y = x + 713 H9y = x 713 JAlgebra I Page 11 y3 2 1 9 8 7 6 5 4 3 2 1 1 1 2 3 2 3 4 5 6 7 8 9 x y 3 2 1 3 2 1 1 1 23456789 2 3 4 5 6 7 8 9 x y3 2 1 9 8 7 6 5 4 3 2 1 1 1 2 3 2 3 4 5 6 7 8 9 x y 3 2 1 3 2 1 1 1 23456789 2 3 4 5 6 7 8 9 x 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.

6 Based on this information, which graph could represent p? A C BDAlgebra I Page 12 y 9 8 7 6 5 4 3 2 1 9 8 7 6 5 4 3 2 1 1 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 x 5(xy9 z4)8 Which expression is equivalent to ? F xy14 6z9 Gxy14 5z9 Hxy45 z20 Jxy45 5z20 9 The graph of linear function gpasses through the points (7 , 4) and (7, 6), as shown. What are the slope and y-intercept of the graph of g? 57A The slope is , and the y-intercept is 1. BThe slope is 57 , and the y-intercept is 1. CThe slope is 75 , and the y-intercept is 1. DThe slope is 75 , and the y-intercept is 1.

7 Algebra I Page 13 Game Console Number of Game Consoles Sold(millions) g(x) 25 20 15 10 5 (0, ) (1, ) (2, ) x0 1234567 Number of Years Since 2009 10 What is the solution to 4(y 3) + 19 = 8(2y+ 3) + 7? 1 2 F 12 GH 2 J2 11 The graph shows the number of game consoles sold in millions since 2009. Based on this information, which function best models the number of game consoles sold in millions xyears since 2009? A gx( ) = ( )xBgx( ) = ( )xCgx( ) = ( )x Dgx( ) = ( )xAlgebra I Page 14 12 A ball is placed in a machine that throws the ball up in the air. The table represents some points on the graph of a function that models the ball s distance from the ground with respect to the time since the ball has been thrown.

8 Ball Time Since Thrown from Machine (seconds) 0 Distance from Ground (meters) 0 What is the range for this situation? F All real numbers less than or equal to GAll real numbers less than or equal to HAll real numbers greater than or equal to 0 and less than or equal to JAll real numbers greater than or equal to 0 and less than or equal to Algebra I Page 15 yx 6 5 4 3 2 1 6 5 4 3 2 1 1 1 2 3 4 5 6 2 3 4 5 6 y x 6 5 4 3 2 1 6 5 4 3 2 1 1 1 2 3 4 5 6 2 3 4 5 6 yx 6 5 4 3 2 1 6 5 4 3 2 1 1 1 2 3 4 5 6 2 3 4 5 6 y x 6 5 4 3 2 1 6 5 4 3 2 1 1 1 2 3 4 5 6 2 3 4 5 6 13 Which graph best represents the solution set to this system of inequalities?

9 X+<y 1 xy 2A C BDAlgebra I Page 16 14 Given px( ) = 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 $ for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies. Each black-and-white copy cost $ Each color copy cost $ Which system of equations can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop? A b+=c + Bb+=c + Cb+=c + Db+=c + Algebra I Page 17 y 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 1 1 2 3 4 5 6 7 8 2 3 4 5 6 7 8 x 16 The graph of a quadratic function is shown on the grid.

10 Which function is best represented by this graph? 1fx()= x2 + 162 F Gfx()= x2 + 16 1fx()= x2 + 82 HJfx()= x2 + 8 Algebra I Page 18 17 The table of values shows a linear relationship between x and y. x y 7 9 2 1 3 7 8 15 What is the slope of the line represented by the table of values? 8 5 A 5 8 B85 C58 D18 Which expression is a factored form of 2x2 25x + 63? F (x + 9)(2x + 7) G(x 9)(2x 7) H(x + 7)(2x + 9) J(x 7)(2x 9) Algebra I Page 19 y 11 10 9 8 (10, 8) 7 6 5 4 3 2 1 1 11 0 9 8 7 6 5 4 3 2 1 1 1 2 3 4 5 6 7 8 9 10 11 2 ( 5, 4) 3 4 5 6 7 8 9 10 11 x 19 What is the equation in standard form of the line that passes through the point (6, 1) and is parallel to the line represented by 8x+ 3y= 15?