Mathematics10th Grade TAKS Correlation of 2003, 2004, 2006, 2009

TAKS Student ExpectationsObj. 1 The student will describe functional relationships in a variety of ways.

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.A.1.A The student is expected to describe independent and dependent quantities in functional relationships.

Spring 2003 Spring 2004 Spring 2006 Spring 2009

19 A function is described by the equation f(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

23 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

10 If y is a function of x in the equation y = x 2 − 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.

9 Jeri can row a boat at a speed of 8 miles per hour with the current. The number of miles, m, she rows with the current in h hours can be represented by the function m =8h. Which of the following represents the dependent quantity in this function?

A The weight of Jeri’s boat

B The speed of the current

C The amount of time Jeri rows

D The number of miles Jeri rows

A.1.B The student [gathers and records data, or] uses data sets to determine functional relationships between quantities.

45 Which equation best describes the relationship between x and y in this table?

35 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?A b = 3910 + 225p C b = 2785 + 225p

B* b = 4135 - 225p D b = 3685 - 225p

14 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?

F d = 20p

G d = 0.05p

H d =

J d = p – 95

55 The table below shows the relationship between x and f(x).

Which function represents this relationship? A f(x) = 2x

B f(x) = −2x

C f(x) = −x −2

D f(x) = x + 6

A.1.C The student is expected to describe functional relationships for given problem situations and writes equations or inequalities to answer questions arising from the situations.

7 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?

A* e = 10h + 0.06d

B e = 10h + 0.6d

C e = 6h + 10d

D e = 0.06h + 10d

49 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?

A* w 1.8c + 4.2

B w 1.8c - 4.2

C w 4.2c + 1.8

5 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?

A c = 1200(78n)

B c = 1200(n + 78)

C c = 1200 −78n

D c = 1200 + 78n

2 Wesley works at a shoe store. He is paid $8 an hour plus a 7% commission on his total sales. Which of the following best represents t, Wesley’s total weekly earnings if he works 30 hours and has total sales of s dollars?

F t = 0.08(30) + 0.07s

G t = 8(30) + 7s

H t = 8(30) + 0.07s

J t = 8(30) + 0.7s

D w 4.2c - 1.8A.1.D The student is expected to represent relationships among quantities using [concrete] models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities.

43 Which mapping best represents the function y = 2n2 + 1 when the replacement set for x is { -1, 0, 3}?

20 Which inequality best describes the graph shown below?

48 Which data set is best described by the function y = 2x 2 + 5x?

A.1.E The student is expected to interpret and make decisions, predictions, and critical judgments from functional relationships.

5 Jake studied the parabola shown below.

Which is an ac 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.

51 The graph below best 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

49 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?

A r

B s

C t

D u

23 To buy a membership at a recreation center, people must pay a one-time registration fee plus a regular monthly fee. The table below shows the total amount a person pays, including the registration fee, for different numbers of months of membership.

According to the information in the table, which of the following statements is true?

A The monthly fee is $50.

B The monthly fee is $37.50.

C The registration fee is $75.

D The registration fee is $50.

Obj. 2 The student will demonstrate an understanding of the properties and attributes of functions.

A.2 Foundations for functions. The student uses the properties and attributes of functions.A.2.A The student is expected to 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?

I. The parent function of a quadratic equation has the vertex at (0, 0).

II. The parent function of a quadratic equation opens downward.III. 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

31 Which of the following represents the parent function of y x 2 −2x −15?

A y = x B y = x2−15 C y = x2

D y = −2x

A.2.B For a variety of situations, the student identifies the mathematical domains and ranges and determines reasonable domain and range values for given situations.14 The graph shows the path of a golf ball.

27 Which of the following best represents the range of the function shown below?

A The range is all real numbers. B The range is all real numbers greater than or equal to 4. C The range is all real numbers greater than or equal to zero. D The range is all real numbers greater than or equal to −4.

A.2.C The student interprets situations in terms of given graphs [or creates situations that fit given graphs]. Not yet testedA.2.D (D)The student is expected to [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.

12. 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?

F 1 G 12 H* 16

J 20

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.A.3.A The student is expected to use symbols to represent unknowns and variables.

53 Which equation best represents the area, A, of the rectangle below?

32 Mrs. Franklin received a 7% raise at her job. If she was earning x dollars per year before, how much is she earning now?

F x + 7 G x + 0.07 H x + 0.7x

J* x + 0.07x

16 The length of a rectangular garden is 20 feet longer than the width, w. Which equation best describes the garden’s perimeter, P?

F P = (w + 20) + w

G P = (w + 20)w

H P = (w + 20)2w

J P = 2(w + 20) + 2w

A.3.B The student is expected to look for patterns and represents generalizations algebraically.

4 Which expression can be used to find the values of s(n) in the table below?

F 3n H n + 4

G 5n J* 3n + 2

38 The squares below show a pattern.

Which expression can be used to determine the number of squares at stage n?

F 5n - 3

G 4n2

H 2n2 J n 2 + n

54 The square tiles below are arranged to show a pattern.

Which expression can be used to determine the number of square tiles in Stage n? F 4n + 3

G 5n + 2

H n 2 + 6

J n 3 + 6

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.

A.4.A The student is expected to find specific function values, simplifies polynomial expressions, transforms and solves equations, and factors as necessary in problem situations.31 In the equation y= 2x2 – 5x – 18, which is a value of x when y = 0 ?

A -18

B 1

C 2

D 4

37 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 C* 1.6 units

B 4.0 units D 1.3 units

46 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

A.4.B The student is expected to use the commutative, associative, and distributive properties to simplify algebraic expressions.

1 Simplify the algebraic expression 5(x + 3)(x + 2) = 3(x2 + 2x + 1).

A 2x2 + 7

B 2x2 + 27

C 2x2 + 7x + 7

D* 2x2 + 19x + 27

15 Simplify the expression 6 – 3(5x + 2) – 10x.

F -25x

G 5x + 6

H 8 – 25x

J 12 – 25x

6 Which expression is equivalent to 5[4 + 3(x − 6)]?

F 15x – 10

G 15x – 70

H 15x – 14

J 15x − 110

Obj. 3 The student will demonstrate an understanding of linear functions.A.5 Linear functions. The student understands that linear functions can be represented in different ways and translates among their various representations.

A.5.A The student is expected to determine whether or not given situations can be represented by linear functions. 12 The tables below show the amount of data in kilobytes that was downloaded by a computer over time. Which of the following tables best represents a linear function?

A.5.C The student is expected to translate among and uses algebraic, tabular, graphical, or verbal descriptions of linear functions.

49 Which linear function best describes the graph shown below?

52 Which graph best represents the function y = 1.75x + 5?

55 Which table best describes points on the line graphed below?

38 Which of the following best represents the graph of the equation 4x − y = −5?

A.6 The student understands the meaning of the slope and intercepts of the graphs of linear functions and zeros of linear functions and interprets and describes the effects of changes in parameters of linear functions in real-world and mathematical situations.

A.6.A The student is expected to develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations.

46 What is m, the slope of the line that contains the points (2, 0), (0, 3), and (4, −3)?

40 Which line appears to have a slope of zero?

F Line n

G Line k

H Line w

J Line p

34 What is the slope of the graph of the equation 3x + 2y = 6 ?

A.6.B The student is expected to interpret the meaning of slope and intercepts in situations using data, symbolic representations, or graphs.

12 The graph shows the distance a certain motorbike can travel at a constant speed with respect to time.

Which of the following best describes the meaning of the slope of the line representing this situation?

F The motorbike travels at a speed of about 8 miles per hour.

G The motorbike travels at a speed of about 2.5 miles per hour.

H The motorbike travels at a speed of about 5 miles per hour. J The motorbike travels at a speed of about 10 miles per hour.

A.6.C The student is expected to investigate, describe, and predict the effects of changes in m and b on the graph of y = mx + b.

24 Which best describes the effect on the graph of f (x) = 4x + 8 if the y-intercept is changed to 3?

F The slope decreases.

G The new line passes through the origin.

H* The x-intercept increases.

J The y-intercept increases.

8 What will happen to the slope of line p if the line is shifted so that the y-intercept increases and the x- intercept remains the same?

F The slope will change from positive to negative.

G The slope will change from negative to positive.

H* The slope will increase.

J The slope will decrease.

A.6D The student is expected to graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept.

9 Which of the following describes the line containing the points (0, 4) and (3,-2)?

A y = -2x + 4

B y = x + 6

C y = 2x + 4

D y = - x + 6

44 Which equation describes the line that passes through the point (4, 7) and is parallel to the line represented by the equation 3x + y = 4?

F y = -3x + 19

G y = 3x- 5

H y = x + 5

J y = - x + 8

2 Which linear equation represents the line passing through points R and S?

F y = 1.5x 4.5

G y = 1.5x + 4.5

H y = 0.5x 4.5

J y = 0.5x + 4.5

8 What is the equation of the line that passes through the point (9, 2) and has a y-intercept of (0, 5)?

F y = x + 5

G y = 2x + 5

H y = x + 5

J y = 5x + 9A.6E The student is expected to determine the intercepts of linear functions and zeros of linear functions from graphs, tables, and algebraic representations.

26 What is the y-intercept of the function f (x) = 3(x - 2)?

F 3

G 1

H - 2

J* -6

6 Which coordinate points represent the x- and y-intercepts of the graph shown below?

F (0, -4) and (6, 0) G (-4, 0) and (0, 6)

H (6, 0) and (4, 0) J (0, 6) and (0, 4)

A.6F The student is expected to interpret and predict the effects of changing slope and y-intercept in applied situations. Not Yet TestedA.6G The student relates direct variation to linear functions and solves problems involving proportional change

56 If y is directly proportional to x and y = 8 when x =10, what is the value of y when

x = 5?

F 4

G 16

H 40

J 80

Obj. 4 The student will formulate and use linear equations and inequalities.A.7 Linear functions. The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

A.7A The student expected to analyze situations involving linear functions and formulates linear equations or inequalities to solve problems.4 At Northwest Electronics audiotapes cost $5.00

per package, and videotapes cost $10.00 per package. Which inequality best describes the number of packages of audiotapes, a, and the number of packages of videotapes, v, that can be purchased for $45.00 or less?

F 5a + 10v 45 G 10a + 5v 45 H* 5a + 10v 45 J 10a + 5v 45

14 Rita put some hummingbird feeders in her backyard. The table shows the number of hummingbirds that Rita saw compared to the number of feeders.

Which equation best describes the relationship between h, the number of hummingbirds, and f, the number of feeders?

50 A chemist started an experiment with 5 grams of a chemical. The chemical was used at a rate of 0.01 gram per minute. Which equation best describes the relationship between c, the amount of chemical remaining in grams, and t, the time in minutes?

F c = 5.01t

G c = 4.99t

H c = 5 −0.01t

J c = 0.01t −5

47 Wanda wants to buy some picture frames for her home. Small picture frames cost $8 each, and large picture frames cost $12 each. If Wanda wants to spend less than $100 on picture frames, which of the following inequalities can be used to determine the number of small frames, s, and the number of large frames, l, she can buy? A 12s + 8l < 100

B 8s + 12l < 100

C 12s + 8l > 100

D 8s + 12l > 100

18 A shaded parallelogram is graphed on the coordinate grid below.

Which of the following functions describes a line that would include an edge of the shaded parallelogram?

F y = 2x + 5

G* y = 2x- 2

H y = 2x + 9

J y = 2x - 1A.7B The student is expected to investigate methods for solving linear equations and inequalities using [concrete] models, graphs, and the properties of equality, selects a method, and solves the equations and

inequalities.

17 What is the value of y if (3, y) is a solution to the equation 5x - 3y =18?

F 3

G 1

H* 1

J -11

39 The length of each leg of an isosceles triangle is centimeters more than twice the length of the base. If the perimeter of this isosceles triangle is 95 centimeters, what is the length of the base?

A 17 cm

B 21 cm

C 30 cm

D 39 cm

43 For what value of x is (x, 3) a solution for 4x - 3y = 21?

A 11

B -3

C -11

D 3

A.7C The student is expected to interpret and determine the reasonableness of solutions to linear equations and inequalities.46 In 1998 the enrollment at a community college

was approximately 2500 students. In 2002 the enrollment had increased to 3250 students. If the enrollment continues to increase at this rate, what is a reasonable projection of enrollment for 2010?

F* 4750 G 5750 H 6250

J 9000

20 In 2004 a married couple could have calculated their estimated income tax, t, for that year using the equation t 0.25c 6525, in which c represents their combined taxable income. If a married couple had a combined taxable income between $60,000 and $64,000, which of the following is a reasonable amount for their income tax?

F $6,525

G $8,975

H $13,869

J $15,500

22 The formula below can be used to convert temperatures in degrees Fahrenheit, F, to temperatures in degrees Celsius, C.

C = ( F − 32) On a certain day

temperatures at the North Pole were between −20°F and −15°F. Which of these is a reasonable temperature in degrees Celsius for that day at the North Pole?

F −30°C

G −22°C

H −27°C

J −11°C

A.8 Linear functions. The student formulates systems of linear equations from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. A.8A The student is expected to analyze situations and formulates systems of linear equations in two unknowns to solve problems.

20 The length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 85 centimeters?

54 Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and pieces of bubble gum for a total of $5.70. Sara bought2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum, g?

F 5f + 3g = 3.60 2f + 10g = 5.70

G 5f + 2g = 5.70 3f + 10g = 3.60

H f + g = 22 7f + 13g =9.30

J* 5f + 3g = 5.70 2f + 10g = 3.6

32 Norma and Lauretta went to a store to buy DVDs on sale for $5 each, tax included. Norma purchased two and a half times as many DVDs as Lauretta purchased. Together they purchased 14 DVDs. Which system of linear equations can be used to determine n, the number of DVDs Norma purchased, and l, the number of DVDs Lauretta purchased?

51 Two complementary angles have measures of s and t. If t is 9 less than twice s, which system of linear equations can be used to determine the measure of each angle?

A t + s = −9 t = 2s + 90

B t − s = −9 t = 2s – 90

C t + s = 90 t = 2s – 9

D t + s = 90 t = −2s − 9

A.8B The student is expected to solve systems of linear equations using [concrete] models, graphs, tables, and algebraic methods.

36 Which graph best represents a solution to this system of equations?

2x 3y = 0 x + 2y = 7

47 Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent this situation, letting x represent the number of nickels and y represent the number of quarters. Then he solved

the system by graphing. What is the solution?

A* (6, 9) B (9, 6)

C (5, 10) D (10, 5)

A (2, 0)

B (0, 2)

C (0.5, 0)

D Not here

17 At a pet store the total cost of 8 pounds of Brand X dog food and 1 pound of Brand Y dog food is $8.40, including tax. The total cost of 16 pounds of Brand X dog food and 8 pounds of Brand Y dog food is $24.00, including tax. What is the price per pound of Brand Y dog food?

A $0.90

B $1.20

C $2.60

D $4.08

A.8C For given contexts, the student interprets and determines the reasonableness of solutions to systems of equations. Not Yet TestedObj. 5 The student will demonstrate an understanding of quadratic and other nonlinear functions.

A.9 Quadratic and other nonlinear functions. The student understands that the graphs of quadratic functions are affected by the parameters of the function and can interpret and describe the effects of changes in the parameters of quadratic functions.

A.9B The student is expected to investigate, describe, and predict the effects of changes in a on the graph of y = ax 2.22 The graph of the function y = x2 is given below.

52 What is the effect on the graph of the equation y = 4x2 when the equation is changed to y = 4x2?

A The graph of y = 4x2 is translated 8 units down.

B* The graph of y = 4x2 is a reflection of y =4x2 across the x-axis.

C The graph of y = 4x2 is translated 8 units up.

D The graph of y = 4x2 is a reflection of y = 4x 2 across the y-axis.

37 Which lists the functions of the form y = ax2

in order from the widest to the narrowest

graph?

5 The graph of y = 0.2x2 is shown below.

Which of the following equations r represents a graph that is wider than the graph of y = 0.2x2?

A y = 0.3x2

B y = 0.2x 2 + 1

C y = 0.1x2

D y = 0.2x2− 1

A.9.C The student is expected to investigate, describe, and predict the effects of changes in c on the graph of y = x 2 + c.

A.9.D The student is expected to analyze graphs of quadratic functions and draws conclusions.1 The sales record for a recent hit CD at

Tony’s Music Store is shown on the graph below.

Which statement best describes the sales of this CD?

A Sales rapidly increased, reached a peak, and then gradually decreased. B Sales gradually increased, reached a peak, and then leveled off. C* Sales rapidly increased, reached a peak, and then rapidly decreased. D Sales remained constant throughout the time

55 The graph below shows h, the height in meters of a model rocket, versus t, the time in seconds after the rocket is launched. From the graph, what conclusion can be made about the flight of the rocket?

A The rocket reached its maximum height after 2.5 seconds. B* At 0 seconds the rocket was 2 meters off the ground. C The height of the rocket was 0 meters when it

22 An object was dropped from a height of 250 meters and fell to the ground. The graph below shows the change in h, the object’s height in meters, with respect to t, the time in seconds.

(Seconds)According to the graph, which time interval best represents when the object was at 140 meters abovethe ground? F Between 3 seconds and 3.25 seconds G Between 3.75 seconds and 4 seconds H Between 3.5 seconds and 3.75 seconds

50 The graph of y = x 2 + 2x − 8 is shown below. Which coordinate pair best represents the vertex of this graph?

F (−4, 0) G (2, 0) H (0, −8)

period. was launched. D The rocket was in flight for 5 seconds.

J Between 3.25 seconds and 3.5 seconds J (−1, −9)

A.10 Quadratic and other nonlinear functions. The student understands there is more than one way to solve a quadratic equation and solves them using appropriate methods.A.10A The student is expected to solve quadratic equations using [concrete] models, tables, graphs, and algebraic methods.

27 The polynomial x2 + x 6 is modeled below using algebraic tiles.

What are the solutions to the equation x2 + x = 6?

A.10B The student is expected to make connections among solutions(roots) of quadratic equations, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.

40 What are the roots of the function graphed below?

14 The graph of f (x) = x 2 + x − 6 is shown below.

Which of the following is a zero of this function?

F −6

F (-1, -9) and (0,-8) G (0. - 4) and (2, 0) H (4, 0) and (2, 0) J (0, 2) and (0, 4)

G 3 H −2 J 2

A.11 Quadratic and other nonlinear functions. The student understands there are situations modeled by functions that are neither linear nor quadratic and models the situations.A.11A The student is expected to use [patterns to generate] the laws of exponents and applies them in problem-solving situations.

41 The area, A, of a parallelogram is 64x 9y 6 square feet. The height, h, of the parallelogram is 16x 3y 2 feet. The area of a parallelogram can be found by using the formula A = bh. Which of the following best represents the length of this parallelogram’s base, b?

A 4x 6y 4 ft

B 80x 12y 8 ft

C 4x 3y 3 ft

D 48x 6y 4 ft

Obj. 6 The student will demonstrate an understanding of geometric relationships and spatial reasoning.8.6 Geometry and spatial reasoning. The student uses transformational geometry to develop spatial sense.

8.6 A The student is expected to generate similar shapes using dilations including enlargements and reductions

16 A copy machine can enlarge or reduce letters proportionately. Which would not

be an enlargement or reduction of the letter below?

35 Look at the cylinder shown below.

Which of the following cylinders is similar to the one above?

7 The dimensions of a rectangular poster board are shown below.

Which rectangle can be dilated to fit the exact dimensions of this poster board?

20 KLP has vertices K (−4, 2), L (2, 6), and P (4, −6). It is dilated to form K′L′P′with the

origin as the center of dilation.

F

G

H

J 48.6 B The student is expected to graph dilations, reflections, and translations on a coordinate plane.

8 At what coordinates should vertex Z be placed to create a quadrilateral WXYZ that is similar to quadrilateral PQRS?

F* (24, 16) G (24, 24) H (20, 20) J (16, 24)

44 ΔRST has the vertices R (−4, 5), S (−2, 3), and T (−5, 2).

If ΔRST is reflected across the x-axis and then translated 2 units down to become Δ R′S′T′, what will be the coordinates of S′?

F (2, 1)

G (−2, −5)

H (−5, −2)

J (−2, −1)

8.7 Geometry and spatial reasoning. The student uses geometry to model and describe the physical world.8.7 D The student is expected to locate and name points on a coordinate plane using ordered pairs of rational numbers.

6 Which of the following ordered pairs best represents the location of point T?

26 Which point on the grid below best

represents the coordinate point ( , )?

F Point Q

G Point M

H Point V

J Point K

52 The circle shown below has a diameter of 10 units.

Which of the following ordered pairs best represents the location of the center of the circle?

46 Which point on the grid satisfies the conditions x ≥ −3 and y ≤ −1?

F Point N

G Point P

H Point M

J Point L

Obj. 7 The student will demonstrate an understanding of two- and three-dimensional representations of geometric relationships and shapes.8.7 Geometry and spatial reasoning. The student uses geometry to model and describe the physical world.

8.7 A The student is expected to draw three-dimensional figures from different perspectives. 3 The drawing shows a view of a building.

Which drawing best represents the top view of this building?

56 The drawing shows the top view of a structure built with cubes as well as the number of cubes in each column of the structure.

Which 3-dimensional view represents the same structure?

9 Which of the following shapes could not represent a top, front, or side view of a trapezoidal prism?

A A square

B A trapezoid

C A rectangle

D A triangle

45 Lee designed a table that appears to be a cone with a wooden board passing through it, as shown below.

Which of the following best represents a top view of this table?

1 The grid below shows the top view of a 3- dimensional structure built using identical cubes. The numbers represent how many cubes are in each column.

Which of the following best represents this structure?

8.7 B The student is expected to use geometric concepts and properties to solve problems in fields such as art and architecture.

21 A regular hexagon is drawn in a circle as a design on a window. Opposite vertices are connected by line segments.

What is the measure of angle Y in degrees? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

8 The blueprint dimensions for a newly constructed house are proportional to the house’s actual dimensions. On the blueprints the house’s foundation measures 75 centimeters long by 40 centimeters wide. If the house’s foundation measures 15 meters long, what is the foundation’s actual width?

A* 8 m B 28.1 m

C 50 m D 200 m17 Near the downtown area of a city, there is a vacant triangular plot of land with sides that measure 22 feet, 27 feet, and 17 feet. If the city council decides to plant an oak tree in the corner with the smallest angle, where should the tree be planted?

A* In the corner opposite the side that is 17 feet

B In the corner opposite the side that is 22 feet

C In the corner opposite the side that is 27 feet

D In the center of the triangular plot50 Mr. Harrison wants to calculate the cost of buying a carpet to cover his rectangular living room floor. He knows the cost per square foot of carpet, and he knows the length, width, and height of the living room. Which geometric formula should Mr. Harrison use to determine the cost of the carpet he needs?

F c2 = a2 + b2

G V = Bh H* A = lw J P = 2l + 2w

27 An artist painted a mural from the photograph

shown below.

3 A toy company plans to make a model of a train engine using a scale where 1 inch represents 4 feet. If the length of the actual engine is 51 feet, which of these is closest to the length of the model in inches?

A 12 in.

B 3 in. C 204 in.

D 11 in.

40 The diagram below shows the floor plan of an apartment with a rectangular floor. The ratio of the width of the bathroom floor to the width of the entire apartment floor is 3:7.

What is x, the width of the bathroom in inches?

F 112 in.

G 40 in.

H 144 in.

J 48 in.8.7 C The student is expected to use pictures or models to demonstrate the Pythagorean Theorem.

13 The sides of squares can be used to form triangles. The areas of the squares that form right triangles have a special relationship.

Using the dimensions of the squares shown below, determine which set of squares will form a right triangle.

15 The drawing below shows how 3 squares can be joined at their vertices to form a right triangle.

Which is closest to the area in square inches of the largest square?

A 1914 in.2

B 233 in.2

C 210 in.2

D 1073 in.2

32 Which group of squares can be joined at their vertices to form a right triangle?

49 The three squares shown below are joined at their vertices to form a right triangle.

56 Use the Pythagorean theorem to find the figure that is a right triangle.

What is the area of the shaded square? A 80 cm 2

B 352 cm 2

C 2 cm 2

D 658 cm 2

Obj. 8 The student will demonstrate an understanding of the concepts and uses of measurement and similarity.8.8 Measurement. The student uses procedures to determine measures of solids.

8.8 A The student is expected to lateral and total find surface area of prisms and cylinders using [concrete] models and nets (two dimensional models)

48 The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter.

Find the total surface area of this cylinder to the nearest square centimeter. F 6 cm2 G 14 cm2

H 19 cm2 J* 33 cm2

38 The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter.

24 The net of a right triangular prism is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the right triangular prism to the nearest centimeter.

35 The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the net to

the nearest inch.

Which of these is closest to the total surface area of the cylinder? A 4 in. 2

B 2.5 in. 2

C 6 in. 2

D 1.8 in. 2

8.8 B The student is expected to connect models of prisms, cylinders, pyramids, and cones to formulas for volume of these objects

41 The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure theDimensions of the cube to the nearest quarter inch.

A* 2 in.3 B 9 in.3

C 12 in.3

D 18 in.3

27 A triangular prism is shown below.

What is the volume of this triangular prism?

30 Steven has a cylindrical fish tank with a diameter of 8 inches and a height of 14 inches. He placed some rocks that took up 50 cubic inches at the bottom of the tank. Then he filled the tank with spring water to 2 inches from the top. Which is the best strategy for determining the volume of water the fish has for swimming?

8.8 C The student is expected to estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume.

30 Ginny made a cylindrical clay vase for her art project. If the vase has a volume of 339 cubic inches and a diameter of 6 inches, which is closest to the height of the vase?

F 36 in.

G 18 in.

H* 12 in.

J 3 in.

13 The owners of Neatly Packaged Company make a cylindrical container that has the dimensions shown below.

36 Mr. Bergman built a rectangular sandbox for his children, as shown below.

If each 50-pound bag contains approximately 0.70 cubic foot of sand, which is closest to the number of bags of sand that Mr. Bergman used to completely fill this sandbox?

A 81

B 19

C 972

D 116

28 A spherical ball has a diameter of 10 centimeters. Which is closest to the volume of the ball?

F 524 cm3

G 393 cm3

H 4189 cm3

J 105 cm3

30 Lorraine wants to paint the 4 rectangular walls of a room, including the door. The room is 18 feet long and 12 feet wide, and the walls are 10 feet high. What is the total area that will be painted?

F 300 ft2

G 600 ft 2

H 816 ft 2

J 864 ft 2

8.9 Measurement. The student uses indirect measurement to solve problems.8.9 A The student is expected to use the Pythagorean Theorem to solve real-life problems.

28 The drawing shows part of the plan for a new

underground lawn-sprinkler system.

Which is closest to the length of the section of plastic pipe from point A to point C?

A 4.7 ft B* 5.7 ft

C 6.7 ft D 7.7 ft

15 Mrs. Cheung hired a landscaping service to plant a row of bu shes around her triangular backyard.

52 A slide was installed at the local swimming pool, as shown below.

Which is closest to the length of the slide? A 29 ft

B 16 ft

C 21 ft

D 81 ft

19 Mr. García built a rectangular deck in his backyard. The deck was 16 feet long and 12 feet wide. What was the length, in feet, of the diagonal of the rectangular deck? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

8.9 B The student is expected to use proportional relationships in similar two-dimensional figures or similar three-dimensional figures to find missing measurements.

53 A certain parallelogram has the dimensions shown.

43 To estimate the height of her school’s gym, Nicole sights the top of the gym wall in a mirror that she has

7 Trapezoid KMPR is similar to trapezoid LNQS.

52 The two triangular prisms shown below are similar.

Which of these is closest to h, the height of the larger prism?

Which set of dimensions would produce a similar figure?

F 17.6 cm, 88 cm

G 70.4 cm, 176 cm

H* 105.6 cm, 132 cm

J 140.8 cm, 220 cm

placed on the ground. The mirror is 3.6 meters from the base of the gym wall.

Nicole is standing 0.5 meter from the mirror, and her height is about 1.8 meters. What is the height of the gym wall?

F 1 m

G 5.9 m

H 7.2 m

J* 12.96 m

Which is closest to the perimeter of trapezoid LNQS?

A 23 units

B 31 units

C 25 units

D 63 units

17Jeremy’s house is 45 feet wide. In a photograph the width of the house was 2.5 inches, and its height was 2 inches. What is the actual height of Jeremy’s house?

A 18 ft

B 26 ft

C 32 ft

D 36 ft

F 1.3 cm

G 2.7 cm

H 7 cm

J 1 cm

8.10 Measurement. The student describes how changes in dimensions affect linear, area, and volume measures.8.10 A The student is expected to describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally.

54 The scale of two similar quadrilaterals is 1:2. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perimeter of the larger quadrilateral?

A 40 cm B 80 cm C* 160 cm D 320 cm

21 If the dimensions of a rectangle with a perimeter of 24 inches are tripled, what will be the perimeter in inches of the new rectangle?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

23 The owner of an amusement park created a circular maze that has a diameter of 50 feet.

If the owner doubles the radius of the maze, which statement describes what will happen to the circumference and area of the maze?

A The circumference and the area will double.

B The circumference and the area will quadruple.

C The circumference will double, and the area will quadruple.

D The circumference will quadruple, and the area will double.

10 The two rectangles shown below are similar. The ratio of the length of the larger rectangle to the length of the smaller rectangle is 3:1.

Which of the following statements is true?

F The area of the smaller rectangle is the

area of the larger rectangle.

G The area of the larger rectangle is 3 times the area of the smaller rectangle.

H The perimeter of the smaller rectangle

is the perimeter of the larger rectangle.

J The perimeter of the larger rectangle is 6 times the perimeter of the smaller rectangle.

8.10 B The student is expected to describe the resulting effect on volume when dimensions of a solid are changed proportionally.37 The edges of a large cube are 4 times

longer than the edges of a small cube. How many times greater is the volume of the large cube?

F 4 times G 12 times

H 16 times J* 64 times

25 Which statement best describes how the volume of a cube changes when the edge length is doubled to form a new cube?

A The volume of the new cube is the

volume of the original cube.

B The volume of the new cube is the

volume of the original cube. C The volume of the new cube is 8 times the volume of the original cube. D The volume of the new cube is 4 times the volume of the original cube.

Obj. 9 The student will demonstrate an understanding of percents, proportional relationships, probability, and statistics in application problems.8.3 Patterns, relationships, and algebraic thinking. The student identifies proportional relationships in problem situations and solves problems.

8.3 B The student is expected to estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates.

6 The world’s fastest flying insect is the dragonfly. It can fly 36 miles per hour. If a dragonfly flew in a straight path at this rate, what distance would it fly in 15 minutes?

F 2 mi G* 9 mi H 25 mi J 540 mi

55 Mr. Salinas, a real estate agent, received a 5% commission on the selling price of a house. If his commission was $6,975, what was the selling price of the house?

F $7,342 G $34,875 H* $139,500

J $662,625

38 Of the 32 students in Mrs. Zane’s class, 25% have brown hair. Of the remaining students, 12.5% have red hair. How many students in Mrs. Zane’s class have red hair?

A* 3

B 4

C 21

D Not here

21 Bruce went to a barbershop for a haircut. The price for a haircut at this barbershop is $15, tax included. If Bruce tipped the barber 15% of the cost of the haircut and the tax, how much change in dollars and cents should he have received if he paid with a $20 bill?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

39 Jasmine bought an alarm clock that was on sale for 25% off the regular price of $24.99. She paid an 8% sales tax on the sale price. Which of the following is closest to the Amount Jasmine paid for the alarm clock, Including sales tax?

A $18.74

B $22.99

C $17.24

D $20.24

8.11 Probability and statistics. The student applies concepts of theoretical and experimental probability to make predictions.

8.11 A The student is expected to find the probabilities of compound events (dependent and independent) 56 Jared has a white cube and a red cube.

The surfaces of each cube are numbered with a unique number from 1 to 6. If Jared tosses the cubes, what is the probability he will get a 4 on the white cube and an odd number on the red cube?

57 Jerry has a CD case that contains 4 country music CDs, 1 rock-and-roll CD, 2 rap CDs, and 3 Tejano CDs. What is the probability of Jerry randomly selecting a Tejano CD and then, without replacing it, randomly selecting a rap CD from his case?

15 Sabrina has a bag of 5 marbles that are identical in size. The bag contains 4 blue marbles and 1 red marble. If Sabrina randomly draws a marble from the bag, replaces it, and then draws another marble, what is the probability that she will first draw a blue marble and then a red marble?

A

B

C

D

8.11 B The student is expected to use theoretical probabilities and experimental results to make predictions and decisions.

43 The table below shows the results of a number

cube being rolled.

44 The table below shows the results of rolling a fair number cube 50 times during a classroom activity.

What is the difference between the theoretical probability of rolling a number less than 4 and the experimental results recorded in the table above? F 8% G 79% H 58%

18 At an automobile dealership, 2 out of every 12 cars sold are red. Which is the best prediction of the number of red cars sold when the automobile dealer sells 150 cars?

F 75

G 25

H 15

J 12

J 29%8.12 Probability and statistics. The student uses statistical procedures to describe data.

8.12A The student is expected to select the appropriate measure of central tendency or range to describe a set of data and justify the choice for a particular situation.17Given the set of data {20, 15, 10, 20, 15, 10, 20, 20, 50}, which statement best interprets the data?

F Only the mean is 20.

G The range of the set of data is 20.

H* The mean, median, and mode are all 20.

J The mode and median are not the same.

42 Nicholas earned the following grades on his science exams: 83, 88, 87, and 83. If Nicholas scores a 90 on his last exam, which measure of central tendency will give him the highest score?

F Mode

G* Median

H Range

J Mean8.12C The student is expected to select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, [stem and leaf plots,] circle

graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, with and without the use of technology.

39 The student election committee at Chesterfield High School recorded the number of votes that each of 4 presidential candidates received in the student council election. A total of 240 students voted. Charlene received 12.5% of the votes, Jimmy received 33.3%, Stephen received 16.7%, and Lupe received 37.5%. Which bar graph best represents the number of votes each presidential candidate received in the student council election?

2 Of the 800 students at a local high school, 200 students have no siblings, 318 students have one sibling, 160 students have two siblings, and the rest of the students have three or more siblings. Use the key below to find the circle graph that best represents this information.

56 The table shows a math department’s budget for the upcoming school year.

Which bar graph best represents the data given in the table?

37 Elise practiced gymnastics for 50 minutes. The time she spent on each activity is recorded in the table below.

Which of the following graphs best represents the percent of time Elise spent on each activity during her gymnastics practice?

8.13 Probability and statistics. The student evaluates predictions and conclusions based on statistical data.8.13 B The student is expected to recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.

40 The table below shows the population and the area in square miles of some U.S. states.

Which statement best describes the relationship between the population and the area of a state?

A The larger a state’s area, the larger its population is.

B* No relationship can be determined from the data in the table.

C New Jersey has the smallest population of the states in the table because it has the smallest area.

D Texas is the largest U.S. state.

58 Richard budgets $1200 of his job earnings on a monthly basis. The graph below shows his monthly budget.

Which conclusion can be drawn from the information given?

A More than 30% of Richard’s budget is for credit card payments, insurance, and food combined.

B Richard budgets $384 for utilities, insurance, and his car payment combined.

C Less than 50% of Richard’s budget is for rent, food, and utilities combined.

D Richard budgets $228 for savings, entertainment, and clothes combined.

4 Mr. Vincent owns a store that sells auto parts. He budgeted $24,000 for the store’s expenses last month. The graph below shows the percentage of the budget he reserved for each type of expense.

Which statement is best supported by the data in the graph?

F Mr. Vincent budgeted $15,500 for labor, utilities, and rent.

G More than 50% of Mr. Vincent’s budget was reserved for rent and utilities.

H Mr. Vincent budgeted $16,800 for labor, insurance, and inventory.

J Less than 50% of Mr. Vincent’s budget was reserved for labor and inventory.

Obj. 10 The student will demonstrate an understanding of the mathematical processes and tools used in problem solving.

8.14 Underlying processes and mathematical tools. The student applies Grade 8 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school.

8.14 A The student is expected to identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics.

48 Jerry and Dan are recycling newspaper for a school project. Together they made 21 stacks of newspaper. Each stack is 4 feet tall. Dan can load a stack in 15 minutes, and Jerry can load a stack in 10 minutes. What information is NOT needed to find whether they can load all the newspaper in 2 hours if they work together?

F The time it takes to load the newspaper

G The rate at which each boy loads the newspaper

H* The height of each stack of newspaper

J The number of stacks of newspaper

52 Greta and her friends are having lunch at Joe’s Diner. The total cost of their lunch, including tax, is $54.63. Greta and her friends have $65.00 altogether and want to leave a tip equal to 15% of the total bill. Is $65.00 enough to cover the cost of their lunch and the 15% tip for the server?

F No, they need $0.56 more.

G No, they need $3.29 more.

H* Yes, and they have $2.18 left over.

J Yes, they have the exact amount.

3 Mr. Harmon is planning to sell his house and wants to paint all the rooms. A can of paint costs $12.95 plus 7.75% sales tax and covers about 476 square feet. What other information is needed to determine the number of cans of paint Mr. Harmon needs to purchase?

F The number of rooms in the house

G* The area in square feet to be painted

H The total cost of each can of paint

J The name of the store where Mr. Harmon will buy the paint

24 A math club is planning to sell candles to pay or the cost of attending the regional math competition. The club needs to raise a total of $250. The candles come in boxes of 24. What additional information is needed to determine the number of candles the club needs to sell?

F The colors of the candles

G The profit the club will make on each candle sold

H The number of boxes ordered

J The number of students in the math club

33 Ms. Lee is planning to travel a total of 1250 miles during a trip. Her car gets 30 miles per gallon on the highway and 22 miles per gallon in the city. If Ms. Lee plans to travel 1000 miles of her trip on the highway, which of these is closest to the total number of gallons of gasoline she will need for the entire trip?

A 38 gallons

B 33 gallons

C 45 gallons

D 48 gallons

8.14 B The student is expected to use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness.

NOTE: After careful review by TEA, this item was omitted in the final scoring due to having two possible answers.

8 What is the perimeter to the nearest centimeter of the regular

octagon drawn below?

F 41 cm

G* 36 cm

H 27 cm

J 18 cm

38 Mitch wants to use 40 feet of fencing to enclose a flower garden. Which of these shapes would use all the fencing and enclose the largest area?

F A rectangle with a length of 8 feet and a width of 12 feet

G An isosceles right triangle with a side length of about 12 feet

H A circle with a radius of about 5.6 feet

J* A square with a side length of 10 feet

7 The school drama club plans to attend a Shakespeare festival in 6 weeks. The total cost per person is $185.75. The club has $296 in its account and will divide the money equally among the 8 members who attend the festival. Troy is planning to attend the festival and has already saved $55. How much more money does Troy need in order to cover his cost to

attend the festival?

A* $93.75

B $110.25

C $148.75

D Not here

39 In the system of equations 4x + 2y = 10 and 3x + 7y = 18, which expression can be correctly substituted for y in the equation 3x + 7y = 18?

A 10 – 2x

B 10 + 2x

C* 5 – 2x

D 5 + 2x

8 The price for this year’s season tickets to a city hockey team’s games was reduced by 15% from last year’s ticket price, x. As a result, there was a 22% increase in the number of season-tickets sold this year. If a total of 4000 season tickets were sold last year and each season ticket is equally priced, which expression could be used to determine the total sales from this year’s season tickets?

A 4000(1 + 0.22)(1 + 0.15)x

B 4000(1 + 0.22)(1 0.15)x

C 4000(1 0.22)(1 0.15)x

D 4000(1 0.22)(1 + 0.15)x

11 For a spring break special, an amusement park

charged $10 per person for admission with unlimited rides. The regular admission price is $5 per person plus $0.50 per ride. Which of the following statements is true?

A If a person plans to get on 10 rides, the spring break special costs less.

B If a person plans to get on 10 rides, the regular admission price costs less.

C If a person plans to get on fewer than 10 rides, the regular admission price costs less.

D The spring break special costs less no matter how many rides a person plans to get on.

43 A triangle is inscribed in a square, as shown

21 If the area of a circle is 95 square inches, which of the following is closest to the circumference of this circle?

A 17 in.

B 35 in.

C 19 in.

D 190 in.

53 A company rented a copy machine for $225 per month for 3 months. The company also paid $0.012 for each copy made. If the total cost of using the copy machine during this 3-month period was $1,107, how many copies did the company make?

A 148,500

B 92,250 C 73,500 D 36,000

below.

What is the area of the

shaded triangle inscribed in the square?

8.14 C The student is expected to select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem.

18 Manuel has 5 more CDs than Pedro has. Bob has twice as many CDs as Manuel has. Altogether the boys have 63 CDs. Which equation can be used to find how many CDs each person has?

A 5x + 2x + x = 63

B x + (x + 5) + 2x = 63

C* x + (x + 5) + 2(x + 5) = 63

D x + 2(5x) + 5x = 63

5 A rectangle has an area of 144 square inches and a perimeter of 50 inches. What are the dimensions of the rectangle?

A 10 in. by 15 in.

B* 9 in. by 16 in.

C 8 in. by 18 in.

D 4 in. by 36 in.

29 A toad is 25 feet north of a bullfrog. Every time the toad jumps 1 foot, the bullfrog jumps 3 feet. If both the toad and the bullfrog jump due north, how many jumps will it take for the bullfrog to pass the toad?

A 12

B 9

C 13

D 7

11 Jason had $87 in his savings account. He then worked for 2 weeks, earning $5.75 per hour, and deposited all the money he earned into his savings account. The account then had a balance of $271. Which method can be used to find the number of hours Jason worked?

A Subtract 87 from 271 and then divide the difference by 5.75 B Subtract 87 from 271 and then multiply the difference by 5.75 C Add 87 to 271 and then divide the sum by 5.75 D Add 87 to 271 and then multiply the sum by 5.75

45 Mandy bought a bag of peanuts to

share with her friends.

• Trisha received of the peanuts in the bag. • Vince received of the peanuts Trisha received. • Ray received of the peanuts Vince received.

If Ray received 4 peanuts, how many peanuts were in the bag Mandy bought? A 13

B 32

C 96

D Not here

8.15 Underlying processes and mathematical tools. The student communicates about Grade 8 mathematics through informal and mathematical language, representations, and models.8.15 A The student is expected to communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.

4 Rinaldo’s school sold all of the tickets to a band concert. The tickets cost $8 each. The auditorium where the concert was held had 39 rows, with 56 seats in each row. Which of the following is a correct method for Rinaldo to calculate the total amount of ticket sales?

F Rinaldo can multiply 56 by $8 and then add 39.

G Rinaldo can add 39 and 56 and then multiply by $8.

H* Rinaldo can multiply 39 and 56 and then multiply by $8. J Rinaldo can add 56 and $8 and then multiply by 39.

29 Bob surveyed 10 people about the average

number of hours per week they spent in the library last year and the number of books they read last year. The results of the survey are shown in the table.

Which graphic display on the next page would be most helpful to determine whether there is a correlation between the number of hours spent in the library and the number of books read?

19 A circle and its diameter are shown below.

33 Mrs. Aman asked her students to look at the drawing shown below to determine the length of d.

Which of the following student responses bestrepresents the length of d?

A 8 units

B 11 units

C 14 units

D 3 units

29 In the trapezoidal prism shown below, NP = 8 centimeters, and QR = 12 centimeters. The height of the prism is 15 centimeters.

Which additional information can be used to determine the volume of the prism?

A The area of rectangle PXWN

B The area of rectangle QYZR

C The length of NR

D The length of TS

32 Which of the following is best represented by the data in the graph below?

F Comparing the length of a side of a square to the square’s area

G Comparing the length of the radius of a

circle to the circle’s circumference

H* Comparing the length of a side of a cube to the cube’s volume

J Comparing the length of the diameter of a circle to the circle’s area

8.16 Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions.8.16 A The student is expected to make conjectures from patterns or sets of examples and nonexamples.

23 A pattern exists among the digits in the ones place when 2 is raised to different powers, as shown in the table below. For example, in 24 = 16 the number in the ones place is 6.

Which digit is in the ones place in 238?

A 2 B* 4 C 6 D 8

20 Lee, Kelly, Linda, and Madison all took the same math test. Linda earned a lower score than Kelly, but she did not earn the lowest

score. The highest test-scorer’s name does not begin with an L. Madison earned a higher score than Kelly. Which person earned the lowest score on the math test?

A Kelly B Lee

C Linda

D Madison

30 A pattern exists for digits in the ones place of the value that results from raising 7 to the power of n, where n is an integer greater than or equal to 1.

41 The following figures are examples of skeys.

.

The following figures are not examples of skeys.

According to this information, which of the following figures best represents a skey?

Which digit is in the ones place of the value of 750 ?

F 7 G 9 H 3 J 1

51 The table shows the first-class postage rates for different years.

8.16 B The student is expected to validate his/her conclusions using mathematical properties and relationships.22. Which statement about the triangles below is true?

F All the triangles are scalene.

G All the triangles are equiangular.

H All the triangles are equilateral.

J* All the triangles are isosceles.

24 Stephen claims that the exterior angle for any regular polygon is either an acute angle or an obtuse angle. If each of the following polygons is regular, which one could disprove Stephen’s theory?

F Triangle

G Quadrilateral

H Pentagon

J Hexagon

13 ΔLPT is an obtuse scalene triangle. If ∠P is the obtuse angle in ΔLPT, which of the following is not a valid conclusion?