10 th Grade TAKS - Released Tests - by Objective

1. 10th 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 = x2 – 9, which statement is true? F The independent variable x is equal to 9 less than the square of the dependent variable y. G The independent variable y is equal to 9 less than the square of the dependent variable x. H The dependent variable y is equal to 9 less than the square of the independent variable x. J The dependent variable x is equal to 9 less than the square of the independent variable y. Correct Answer - H April 2006 #10

5. The volume of a rectangular prism is given by the function V = lwh. Which statement is true? A The volume of the prism depends on the product of only the length and the width. B The volume of the prism depends on the product of only the length and the height. C The volume of the prism depends on the product of the length, the width, and the height. D The volume of the prism depends on the product of only the width and the height. Correct Answer - C April 2004 #23

6. A function is described by the equationf(x) = x2 + 5. The replacement set for the independent variable is {1, 5, 7, 12}. Which of the following is contained in the corresponding set for the dependent variable? A 0 B 6 C 7 D 15 Correct Answer - B Spring 2003 #19

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. Which of the following does not represent a function? A {(-3, 9), (-1, 1), (1, 1), (3, 9)} B {(-4, 2), (-1, 2), (0, 2), (5, 2)} C {(-6, -5), (-4, 0), (-1, 3), (1, -3)} D {(-2, 4), (-2, -3), (0, -5), (1, -7)} Correct Answer - D 2008 Released Item

9. The table below shows the relationship between p, the number of cell phones a company produces, and d, the number of cell phones that are defective. Which equation can be used to describe this relationship? Correct Answer - G April 2006 #14

10. Troy borrowed money from his father so that he could buy a used car. The table shows the remaining balance, b, of Troy’s loan after each payment. Which function can be used to describe this relationship? Ab = 3910 + 225p Bb = 4135 – 225p Cb = 2785 + 225p Db = 3685 – 225p Correct Answer - B April 2004 #35

11. Which equation best describes the relationship between x and y in this table? Correct Answer - D Spring 2003 #45

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. Ms. Adams bought a refrigerator that cost $1200, including tax. The cost of electricity to run this refrigerator is estimated at $78 per year. Which equation best represents c, the total cost of the refrigerator including electricity over n years of operation? Ac = 1200(78n) Bc = 1200(n + 78) Cc = 1200 – 78n Dc = 1200 + 78n Correct Answer - D April 2006 #5

14. A candy company sells chocolate-covered cherries in a box. The empty box weighs 4.2 ounces. Each piece of candy weighs at least 1.8 ounces. Which inequality best describes the total weight in ounces, w, of a box of chocolate-covered cherries in terms of c, the number of candies in the box? Aw≥ 1.8c + 4.2 Bw≥ 1.8c – 4.2 Cw ≥ 4.2c + 1.8 Dw ≥ 4.2c – 1.8 Correct Answer - A April 2004 #49

15. Vicki works as a salesclerk in a clothing store. She earns $10 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise? Ae = 10h + 0.06d Be = 10h + 0.6d Ce = 6h + 10d De = 0.06h + 10d Correct Answer - A Spring 2003 #7

16. (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;

17. Which inequality best represents the graph shown below? A -3x + 2y < -8 B 3x – 2y < -8 C -4x + 3y > -12 D 4x – 3y > -12 Correct Answer - D 2008 Released Item

18. Which data set is best described by the function y = -2x2 + 5x? Correct AnswerH April 2006 #48

19. Which inequality best describes the graph shown below? Fy≥ -2x Gy≥ -x – 2 Hy≥ -2x – 2 Jy≥ x – 2 Correct Answer - G April 2004 #20

20. Which mapping best represents the function y = 2x2 + 1 when the replacement set for x is {-1, 0, 3}? Correct Answer - D Spring 2003 #43

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 judgments from functional relationships.

22. Mr. Wilson asked his class to sketch a graph that would represent the following activity: “Start 3 meters away from me and slowly walk away for 8 seconds. Then stand still for 3 seconds and walk quickly toward me for 4 seconds.” Which graph best represents this activity? Correct Answer - B 2008 Released Item

23. The graph below represents Cheyenne’s bicycle trip from her house to a friend’s house. On which segment of the graph does it appear that Cheyenne was riding her bicycle at the slowest pace? Ar Bs Ct Du Correct Answer - A April 2006 #49

24. The graph below represents which of the following relationships between temperature and time? A Oven temperature while a cake is baking B Temperature of water that is heated on a stove, removed, and then allowed to cool C Temperature of a container of hot tea after placing several cubes of ice in it D Room temperature of a gym after the air conditioner is turned on Correct Answer - B April 2004 #51

25. Jake studied the parabola shown below. Which is an accurate conclusion that Jake could make about this parabola? A The vertex is at (-2, 0). B The minimum value is at (0, -4). C The maximum value is at (2, 0). D The axis of symmetry is the x-axis. Correct Answer - B Spring 2003 #5

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 of these are characteristics of the parent function of a quadratic equation? • The parent function of a quadratic equation has the vertex at (0, 0). • The parent function of a quadratic equation opens downward. • The parent function of a quadratic equation has the y-axis as its line of symmetry. F I and II only G I and III only H II and III only J I, II, and III Correct Answer - G April 2006 #28

29. (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;

30. The graph of the function y = x + 3 is shown below on the coordinate grid. What is the range of the function when the domain is less than or equal to 2? A The range is ≥ 2. B The range is ≤ 5. C The range is ≤ 3. D The range is < 5. Correct Answer - B 2008 Released Item

31. The graph shows the path of a golf ball.What is the rangeof this function? F 0 < y < 100 G 0 ≤ y ≤ 100 H 0 ≤ x ≤ 5 J 0 < x < 5 Correct Answer - G Spring 2003 #

32. (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 creates situations that fit given graphs];

33. Which situation best describes the graph shown below? A There are 15 members in the math club, and each one contributes $5. B The current value of a certain baseball card is $15, and the value increases each year by 5%. C A store charges $15 to rent a DVD player plus $5 for each DVD movie rented. D Jocelyn is 15 miles from home and jogs back home at a rate of 5 miles per hour. Correct Answer - C 2008 Released Item

34. (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] interprets 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;

35. The coaches of a group of debate teams answered a survey about hours of debate team practice and number of team wins. The graph shows the results of this survey. Based on these results, if a team practices 4 hours per week next season, which is the best estimate of the number of debates the team can expect to win? CorrectAnswerH F 1 G 12 H 16 J 20 April 2004 #12

36. (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;

37. Stephanie opened a checking account with a $223 deposit. Each month she earns $85 tutoring math, of which she spends $42 per month. She deposits the rest of her earnings into her checking account. Which expression best represents how much money Stephanie should have in her checking account after m months? A 223 + (85 – 42)m B 223 + 42m C 223 + 85m D 223 + 85m – 42 Correct Answer - A 2008 Released Item

38. The area of the shaded portion of the rectangle shown below is 440 square feet. How can the area of the unshaded portion of the rectangle be expressed in terms of x in square feet? F 440x – 30 G (30 + x)440 H (30 – 440)x J 30x - 440 Correct Answer - J April 2006 #36

39. Mrs. Franklin received a 7% raise at her job. If she was earning x dollars per year before, how much is she earning now? Fx + 7 Gx + 0.07 Hx + 0.7x Jx + 0.07x Correct Answer - J April 2004 #32

40. Which equation best represents the area, A, of the rectangle below? AA = 2x + 2(x + c) BA = x2 + (x + c)2 CA = x(x + c) DA = 2x(x + c) Correct Answer - C Spring 2003 #53

41. (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 represents generalizations algebraically.

42. The squares below show a pattern. Which expression can be used to determine the number of squares at stage n? F 5n – 3 G 4n – 2 H 2n2 Jn2 + n Correct Answer - J April 2006 #38

43. Which expression can be used to find the values of s(n) in the table below? F 3n G 5n Hn + 4 J 3n + 2 Correct Answer - J April 2004 #4

44. (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.

45. A rectangle has a length of 2x + 1 and a width of 5x – 4. Which expression best describes the area of the rectangle? F 7x – 3 G 14x – 6 H 10x2 – 3x – 4 J 10x2 + 13x – 4 Correct Answer - H April 2006 #46

46. In the equation y = 2x2 – 5x – 18, which is a value of x when y = 0? A -18 B 1½ C 2 D 4½ Correct Answer - D Spring 2003 #31

47. After a ball is dropped, the rebound height of each bounce decreases. The equation y = 5(0.8)x shows the relationship between x, the number of bounces, and y, the height of the bounce, for a certain ball. What is the approximate height of the fifth bounce of this ball to the nearest tenth of a unit? A 20.0 units B 4.0 units C 1.6 units D 1.3 units Correct Answer - C Spring 2003 #37

48. (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:(B) use the commutative, associative, and distributive properties to simplify algebraic expressions;

49. Simplify the algebraic expression –3(x + 1)(x – 4) + 2(4x2 – 6x – 9). A 5x2 – 3x – 6 B 5x2 – 21x – 30 C 11x2 – 3x – 6 D 11x2 – 21x – 30 Correct Answer - A 2008 Released Item

50. Simplify the expression 6 – 3(5x + 2) – 10x. F -25x G 5x + 6 H 8 – 25x J 12 – 25x Correct Answer - F April 2006 #16