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9 th Grade TAKS - Released Tests - by Objective

9 th Grade TAKS - Released Tests - by Objective. Objective 1: The student will describe functional relationships in a variety of ways.

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9 th Grade TAKS - Released Tests - by Objective

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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(b)(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.(A) The student describes independent and dependent quantities in functional relationships.

  4. 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

  5. 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

  6. A(b)(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.(B) The student [gathers and records data, or] uses data sets, to determine functional (systematic) relationships between quantities.

  7. 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

  8. 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

  9. 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

  10. 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

  11. A(b)(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.(C) The student describes functional relationships for given problem situations and writes equations or inequalities to answer questions arising from the situations.

  12. 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

  13. 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

  14. 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

  15. A(b)(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.(D) The student represents relationships among quantities using [concrete] models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities.

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

  17. 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

  18. 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

  19. A(b)(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.(E) The student interprets and makes inferences from functional relationships.

  20. 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

  21. 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

  22. 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

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

  24. A(b)(2) Foundations for functions. The student uses the properties and attributes of functions.(A) The student identifies [and sketches] the general forms of linear (y = x) and quadratic (y = x2) parent functions.

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

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

  27. A(b)(2) Foundations for functions. The student uses the properties and attributes of functions.(B) For a variety of situations, the student identifies the mathematical domains and ranges and determines reasonable domain and range values for given situations.

  28. A(b)(2) Foundations for functions. The student uses the properties and attributes of functions.(C) The student interprets situations in terms of given graphs [or creates situations that fit given graphs].

  29. 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

  30. 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

  31. 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

  32. A(b)(2) Foundations for functions. The student uses the properties and attributes of functions.(D) In solving problems, the student [collects and] organizes data, [makes and] interprets scatterplots, and models, predicts, and makes decisions and critical judgments.

  33. 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

  34. 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

  35. A(b)(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.(A) The student uses symbols to represent unknowns and variables.

  36. 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

  37. 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

  38. 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

  39. A(b)(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.(B) Given situations, the student looks for patterns and represents generalizations algebraically.

  40. 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

  41. A(b)(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.(A) The student finds specific function values, simplifies polynomial expressions, transforms and solves equations, and factors as necessary in problem situations.

  42. 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

  43. 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

  44. 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

  45. A(b)(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.(B) The student uses the commutative, associative, and distributive properties to simplify algebraic expressions.

  46. Simplify the algebraic expression3(x + 3) – 2(x + 3). Fx + 3 Gx – 3 H -6x2 – 54 J 6x2 + 3 Correct Answer - F April 2004 #20

  47. Objective 3:The student will demonstrate an understanding of linear functions.

  48. A(c)(1) Linear functions. The student understands that linear functions can be represented in different ways and translates among their various representations.(A) The student determines whether or not given situations can be represented by linear functions.

  49. A(c)(1) Linear functions. The student understands that linear functions can be represented in different ways and translates among their various representations.(C) The student translates among and uses algebraic, tabular, graphical, or verbal descriptions of linear functions.

  50. The table below shows various values for x and y. Which equation best describes the relationship between x and y? Ay = -3x + 5 By = -5x – 7 Cy = -x + 17 Dy = 3x + 41 Correct Answer - A April 2006 #15

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