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9 th Grade TAKS - Released Tests - by Objective. Objective 1: The student will describe functional relationships in a variety of ways. I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
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1. 9th Grade TAKS - Released Tests - by Objective

2. Objective 1:The student will describe functional relationships in a variety of ways.

3. (A.1) Foundations for functions. The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to:(A) describe independent and dependent quantities in functional relationships;

4. If y is a function of x in the equation y = ½x + 9, which statement is true? A The dependent variable, y, is 9 more than ½ the independent variable, x. B The independent variable, y, is 9 more than ½ the dependent variable, x. C The dependent variable, x, is 9 more than ½ the independent variable, y. D The independent variable, x, is 9 more than ½ the dependent variable, y. Correct Answer - A 2008 Released Item

5. To find c, the total cost of an order of DVDs from a certain website, the equation c = 19.99n + 4.99 can be used, where n represents the number of DVDs ordered. If c is a function of n, which of the following best describes this relationship? A The value of n is constant in relation to c. B The value of n is dependent on c. C The value of c is constant in relation to n. D The value of c is dependent on n. Correct Answer - D April 2006 #41

6. For a car traveling at a speed of 50 miles per hour, the relationship between the distance traveled, d, and the time traveled, t, is described by the function d = 50t. Which statement is true? F The time traveled depends on the distance traveled. G The distance traveled depends on the time traveled. H The speed of the car depends on the distance traveled. J The speed of the car depends on the time traveled. Correct Answer - G Spring 2003 #42

7. (A.1) Foundations for functions. The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to: (B) [gather and record data and] use data sets to determine functional relationships between quantities;

8. In many parades, flowers are used to decorate the floats. The table below shows the number of flowers used in each row of a parade float. Which equation best describes these data? An = 2r + 52 Bn = r + 54 Cn = 4r + 50 Dn = 4r + 54 Correct Answer - C April 2006 #25

9. Which equation could be used to generate this table of values? Ay = -2x By = 2x + 1 Cy = x + 1 Dy = x2 + 1 Correct Answer - D April 2004 #41

10. Which equation best describes the relationship between the corresponding values of x and y shown in the table? Fy = x – 10 Gy = 2x – 8 Hy = 3x – 6 Jy = x2 – 8 Correct Answer - H April 2004 #50

11. Students in a science class recorded lengths of a stretched spring, as shown in the table below. Which equation best represents the relationship between distance stretched, x, and the weight on the spring, y? Correct Answer - D Spring 2003 #49

12. (A.1) Foundations for functions. The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to: (C) describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations;

13. Kimberly wants to complete at least 2/3 of her algebra problems by 8 P.M. If she has x algebra problems to complete, which inequality can Kimberly use to determine y, the number of algebra problems she wants to complete by 8:00 P.M.? Ay ≥ x – 2/3 By < x + 2/3 Cy < 2/3x D y ≥ 2/3x Correct Answer - D 2008 Released Item

14. Mr. Ross is purchasing a table and chairs for \$1350, including tax and interest. He will pay for the furniture with monthly payments of \$75. If Mr. Ross has made m payments, which equation best describes r, the amount of the remaining balance? Fr = (1350 – 75)m Gr = 75m + 1350 Hr = 1350 – 75m Jr = 75m - 1350 Correct Answer - H April 2006 #30

15. The temperature in degrees Celsius, C, is 5/9 of the difference between the temperature in degrees Fahrenheit, F, and the constant 32. Which equation best represents this relationship? Correct AnswerC April 2004 #27

16. The Alejo family budgeted \$2000 for their vacation. Their budget consisted of \$800 for travel costs and \$75 per day for other expenses. Which inequality represents the number of days, x, the family could have stayed on vacation? A 800 + 75x≤ 2000 B 800x + 75 ≥ 2000 C 800x – 75 ≥ 2000 D 800 – 75x≤ 2000 Correct Answer - A Spring 2003 #45

17. (A.1) Foundations for functions. The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to:(D) represent relationships among quantities using [concrete] models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities;

18. Which inequality best describes the graph shown below? Correct Answer - D April 2006 #5

19. Jerome received a gift card for \$20 worth of video rentals from a video store. If the cost of renting a video is \$2.50, which table best describes b, the balance remaining on the gift card after he rents n videos? Correct AnswerF April 2004 #24

20. The function f(x) = {(1,2), (2,4), (3,6), (4,8)} can be represented in several other ways. Which is NOT a correct representation of the function f(x)? Correct Answer G Spring 2003 #24

21. (A.1) Foundations for functions. The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to:(E) interpret and make decisions, predictions, and critical judgmentsfrom functional relationships.

22. The kinetic energy of a car can be described by the function KE = ½mv2, in which the constant m is the mass of the car and v is the car’s velocity. If the velocity keeps increasing, the kinetic energy will – A remain constant B continually increase C increase and the become constant D decrease to zero Correct Answer – B 2008 Released Item

23. The graph below represents Lynne’s car trip from her house to the mall and then back to her house. If each section of the graph represents part of Lynne’s trip, which part of the trip took the least amount of time? Ar Bp Cq Ds Correct AnswerC April 2006 #37

24. Which graph best represents the relationship between the height of a burning candle and the amount of time that passes as the candle burns? Correct AnswerJ April 2004 #46

25. Which is always a correct conclusion about the quantities in the function y = x +4? A The variable x is always 4 more than y. B When the value of x is negative, the value of y is also negative. C The variable y is always greater than x. D As the value of x increases, the value of y decreases Correct Answer - C Spring 2003 #25

26. Objective 2:The student will demonstrate an understanding of the properties and attributes of functions.

27. (A.2) Foundations for functions. The student uses the properties and attributes of functions. The student is expected to:(A) identify [and sketch] the general forms of linear (y = x) and quadratic (y = x2) parent functions;

28. Which graph below best represents the parent function of a quadratic function? Correct Answer - D 2008 Released Item

29. Which graph below best represents the linear parent function? Correct Answer - J April 2006 #22

30. Which is the best representation of the function y = x? Correct Answer - B Spring 2003 #7

31. (A.2) Foundations for functions. The student uses the properties and attributes of functions. The student is expected to: (B) identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete;

32. The perimeter of an equilateral triangle is 36 meters or less. Which set describes the domain for l, the length of one side of the triangle? A {0 < l ≤ 3} B {0 < l ≤ 6} C {0 < l ≤ 12} D {0 < l ≤ 36} Correct Answer - C 2008 Released Item

33. (A.2) Foundations for functions. The student uses the properties and attributes of functions. The student is expected to:(C) interpret situations in terms of given graphs [or create situations that fit given graphs];

34. Look at the graph. Which is the best interpretation of this graph? A Jorge earns \$20 for each hour worked. B For every 10 pieces of candy Stacey buys, she pays \$1. C For every 10 students at a dance, 2 teachers are needed as chaperones. D A runner runs at a constant rate of 2 miles every 30 minutes. Correct Answer - B April 2006 #51

35. Which statement is true for the graph below? A Ms. Goodlett will earn \$500 if she sells \$5000 worth of merchandise. B Mr. Murphy will not earn any money if he does not sell any merchandise. C Mr. Laster will earn \$1000 if he sells \$1000 worth of merchandise. D Ms. Cho will earn \$700 if she sells \$5000 worth of merchandise. Correct Answer - D April 2004 #47

36. Identify the graph that best represents the relationship between the number of gallons of gasoline Mr. Johnson purchased at \$1.49 a gallon and the total cost of his gasoline. Correct Answer - F Spring 2003 #48

37. (A.2) Foundations for functions. The student uses the properties and attributes of functions. The student is expected to: (D) [collect and] organize data, [make and] interpret scatterplots (including recognizing positive, negative, or no correlation for data approximating linear situations), and model, predict, and make decisions and critical judgments in problem situations.

38. The graph shows the relationship between the distance in miles a delivery truck traveled and the number of hours each delivery took. Which best describes the relationship shown in the graph? A Negative trend B Positive trend C Constant trend D No trend Correct Answer - B April 2006 #33

39. Monica collected data on the ages and heights of a random sample of sixth-, seventh-, and eighth-grade students at her school. If she plots the data on a scatterplot, what relationship will she most likely see between age and height? A A negative correlation B No correlation C A positive correlation D A constant correlation Correct Answer - C Spring 2003 #11

40. (A.3) Foundations for functions. The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. The student is expected to:(A) use symbols to represent unknowns and variables;

41. Ronald wants to buy a shirt that is on sale for 15% off the regular price. The regular price of the shirt is p dollars. Which expression represents the sale price of the shirt? Fp – 0.15p Gp + 0.15p Hp – 15p J 0.15p Correct Answer - F April 2006 #6

42. A class consists of 8 freshmen and 22 sophomores. Freshmen had an average of x points on a test, while the sophomores had an average of y points. Which expression gives the average test score per student for the entire class? Correct Answer - A April 2004 #45

43. A large room has the dimensions shown below. A partition is to be installed so that 2 classes can use it. The area of the smaller classroom is 38x. How can the area of the larger classroom be expressed in terms of x? Correct Answer - D Spring 2003 #19

44. (A.3) Foundations for functions. The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. The student is expected to:(B) look for patterns and represent generalizations algebraically.

45. Sue wants to write an expression that will always produce an even integer. Which of the following will always produce an even integer for any given integer, n? A 2n + 1 B 2n – 1 Cn + 2 D 2n Correct Answer - D April 2004 #43

46. (A.4) Foundations for functions. The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations. The student is expected to:(A) find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations.

47. Given the function f(x) = 3x2 – 7, what is the value of f(-3)? A -25 B -34 C 74 D 20 Correct Answer - D 2008 Released Item

48. Tammy drew a floor plan for her kitchen, as shown below. Which expression represents the area of Tammy’s kitchen floor in square units? F 6x2 + 30x + 5 G 6x2 + 13x + 5 H 10x + 12 J 5x + 6 Correct Answer - G April 2006 #16

49. The area of a rectangle is 3x2 + 14x + 8, and the width is x + 4. Which expression best describes the rectangle’s length? F 3x + 2 G 2x + 4 H 2x + 2 J 3x - 2 Correct Answer - F April 2004 #16

50. The area of a rectangle is given by the equation 2l2 – 5l = 18, in which l is the rectangle’s length. What is the length of the rectangle? F 1.5 G 2 H 4.5 J 6 Correct Answer - H Spring 2003 #46