Mathematics Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Algebra I Practice Test. Unit 1 has two sections. In the first section, you may not use a calculator. In the second section, you may use a calculator. You will not be allowed to return to the first section of the test after you start the calculator section. You must complete both the non-calculator and calculator sections of Unit 1 within the time allowed. Read each question. Then, follow the directions to answer each question. Mark your answers by completely filling in the circles in your answer document. Do not make any pencil marks outside of the circles. If you need to change an answer, be sure to erase your first answer completely. If a question asks you to show or explain your work, you must do so to receive full credit. Only responses written within the provided space will be scored. If you do not know the answer to a question, you may go on to the next question. When you finish the first section, you may review your answers and any questions you did not answer in this section ONLY. Once you have reviewed your answers, continue to the calculator section. When you are ready to go on to the calculator section, raise your hand to receive your calculator. 2

Mathematics Unit 1 GO ON TO NEXT PAGE 4

Mathematics Unit 1 Unit 1 - Section 1 (Non-Calculator) This unit has two sections: a non-calculator section and a calculator section. You will now take the non-calculator section of this unit in which you may not use a calculator. You will not be allowed to return to the first section of the test after you start the calculator section. You must complete both sections within the time allowed for this unit. Once you finish the non-calculator section, read the directions in your test booklet on how to continue. 5

Mathematics 1. Several points are plotted on the graph. Unit 1 y G 8 6 4 F 2 E D A B x -8 -6 -4 -2 0 2 4 6 8 -2 -4 -6 C -8 Which of the plotted points on the graph represent the zeros of the function f(x) = (x 2 + 2x − 8)(x − 6)? Select all that apply. A. (2, 0) B. (6, 0) C. (0, −8) D. (− 4, 0) E. (−6, 0) F. (0, 2) G. (0, 8) 6

Mathematics Use the information provided to answer Part A and Part B for question 2. Unit 1 Let a represent a non-zero rational number and let b represent an irrational number. 2. Part A Which expression could represent a rational number? A. −b B. a+ b C. ab D. b2 Part B Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, which statement is true about the other zero? A. The other zero must be rational. B. The other zero must be irrational. C. The other zero can be either rational or irrational. D. The other zero must be non-real. 7

Mathematics 3. Which graph best represents the solution to this system of inequalities? Unit 1 x + y ≤ 6 x + 2y ≤ 8 A. y B. y 8 8 6 6 4 4 2 2 x x -8 -6 -4 -2 0 2 4 6 8 -8 -6 -4 -2 0 2 4 6 8 -2 -2 -4 -4 -6 -6 -8 -8 C. y D. y 8 8 6 6 4 4 2 2 x x -8 -6 -4 -2 0 2 4 6 8 -8 -6 -4 -2 0 2 4 6 8 -2 -2 -4 -4 -6 -6 -8 -8 4. ( ) ( Which expression is equivalent to 3x 5 + 8x 3 − 7x 2 − 6x 3 ? ) A. − 4x 3 + 14 B. − 4x 5 + 14x 3 C. 3x 5 + 14x 3 − 7x 2 D. 3x 5 + 2x 3 − 7x 2 8

Mathematics 5. Which points are on the graph of the equation −3x + 6y + 5 = −7? Unit 1 Select all that apply. A. (−3, 6) B. (−2,0) C. (0, −2) D. (6, −3) E. (8, 2) 6. Which factorization can be used to reveal the zeros of the function f(n) = −12n 2 − 11n + 15 ? A. f(n) = − n(12n + 11) + 15 B. f(n) = (− 4n + 3)(3n + 5) C. f(n) = −(4n + 3)(3n + 5) D. f(n) = (4n + 3)(−3n + 5) 9

Mathematics Use the information provided to answer Part A and Part B for question 7. Unit 1 2 The function f(x) = 4x − x is graphed in the xy-coordinate plane as shown. 7. Part A Based on the graph of the function, which statements are true? Select all that apply. A. f is increasing on the interval x < 0 . B. f is decreasing on the interval x < 0 . C. f is increasing on the interval 0 < x < 2 . D. f is decreasing on the interval 0 < x < 2 . E. f is increasing on the interval 2 < x < 4 . F. f is decreasing on the interval 2 < x < 4 . G. f is increasing on the interval x > 4 . H. f is decreasing on the interval x > 4 . 10

Mathematics Part B Unit 1 Based on the graph of the function, which statements are true? Select all that apply. A. f(x) < 0 on the interval x < 0 . B. f(x) > 0 on the interval x < 0 . C. f(x) < 0 on the interval 0 < x < 2 . D. f(x) > 0 on the interval 0 < x < 2 . E. f(x) < 0 on the interval 2 < x < 4 . F. f(x) > 0 on the interval 2 < x < 4 . G. f(x) < 0 on the interval x > 4 . H. f(x) > 0 on the interval x > 4 . 11 STOP

Mathematics Unit 1 STOP You have come to the end of the non-calculator section in Unit 1 of the test. • You may review your answers in the non-calculator section ONLY. You will not be allowed to return to the non-calculator section once you have received your calculator. • When you are ready to go on to the calculator section, raise your hand to receive your calculator. 12 STOP