2023 STAAR Algebra I Practice Test PDF

Algebra I Practice Assessment Copyright © 2023, 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. STAAR ALGEBRA I REFERENCE MATERIALS FACTORING...

Algebra I Practice Assessment Copyright © 2023, 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. STAAR ALGEBRA I REFERENCE MATERIALS FACTORING a2 + 2ab + b2 = (a + b)2 Perfect square trinomials a2 − 2ab + b2 = (a − b)2 Difference of squares a2 − b 2 = (a − b)(a + b) PROPERTIES OF EXPONENTS Product of powers am an = a(m + n) am Quotient of powers n = a(m − n) a Power of a power (am )n = a mn m n Rational exponent a n = am 1 Negative exponent a−n = an LINEAR EQUATIONS Standard form Ax + By = C Slope-intercept form y = mx + b Point-slope form y − y1 = m(x − x1) y2 − y1 Slope of a line m = x2 − x1 QUADRATIC EQUATIONS Standard form f ( x) = ax 2 + bx + c Vertex form f ( x) = a( x − h)2 + k 2 − b b − 4ac Quadratic formula x = 2a −b Axis of symmetry x = 2a  ALGEBRA I Algebra I Page 7 DIRECTIONS Read each question carefully. Choose the best answer to each question. For open-response questions, determine the best answer to the question. 1 Which expression is equivalent to (2m4)(5m8)? 12 A 7m 12 B 10m 32 C 7m 32 D 10m 82306 2 The function f(x) = x was transformed to form g(x) = f(x) − 23. Which statement is true about the graphs of f and g? A The graphs of f and g are not parallel, and the graph of f is translated 23 units up to create the graph of g. B The graphs of f and g are not parallel, and the graph of f is translated 23 units down to create the graph of g. C The graphs of f and g are parallel, and the graph of f is translated 23 units up to create the graph of g. D The graphs of f and g are parallel, and the graph of f is translated 23 units down to create the graph of g. 82344 Algebra I Page 8  3 A graph of a quadratic function is shown. What are the x-intercepts of the function? Shade the TWO correct circles that represent the points. 82457 Algebra I Page 9  4 An artist bought a set of 10 paintbrushes that contained x small paintbrushes and y large paintbrushes. The number of small paintbrushes in the set was 4 times the number of large paintbrushes in the set. Which system of equations can be used to find the numbers of small paintbrushes and large paintbrushes in the set? A x + y = 10 x = 4y B x − y = 10 x = 4y C x + y = 10 y = 4x D x − y = 10 y = 4x 82434 Algebra I Page 10  x 2 5 Which graph represents f(x) = 3 ? 3 A C B D 82519 Algebra I Page 11  6 For quadratic function f, the solutions to the equation f(x) = 0 are 7 2 x = and x = −. 5 3 Which function could represent f? 2 A f(x) = 14x + 11x − 15 2 B f(x) = 15x − 11x − 14 2 C f(x) = 14x − 11x − 15 2 D f(x) = 15x + 11x − 14 82507 7 A store manager adjusts the price of an item each week that the item goes unsold. The price of the unsold item, in dollars, after x weeks can be modeled by the exponential function f(x) = 320(0.90)x. Select ONE correct answer in each box to complete each sentence. The initial price of the item before the store manager made any A $288 adjustments was B $320. C $352 A 10% A increases The price of the item at a rate of B 90% each week. B decreases C 110% 82521 Algebra I Page 12  8 Which expression is equivalent to 75? A 5 3 B 15 5 C 3 5 D 5 15 82312 Algebra I Page 13  9 A fish tank is being drained at a constant rate. The graph shows the linear relationship between the volume of water in the fish tank in liters and the time in minutes the tank has been draining. Fish Tank Which value best represents the rate of change of the volume of water in the fish tank with respect to time? A –6 L/min B 6 L/min 1 C − 6 L/min 1 D 6 L/min 82323 Algebra I Page 14  10 What is the solution set for 12 − 4w > 2(w − 18)? A w>8 B w