INTERIM ASSESSMENT. Grade 9 Mathematics. Administered December 2010 STUDENT NAME DATE ID. San Antonio Independent School District

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1 STUDENT NAME DATE ID TEACHER NAME CLASSROOM PERIOD INTERIM ASSESSMENT Grade 9 Mathematics Administered December 00 San Antonio Independent School District This assessment reflects TEKS taught in the first semester of 00-. TAKS Release Items 008, 00 Teas Education Agency

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3 Teas Assessment of Knowledge and Skills Grades 9, 0, and Eit Level Mathematics Chart Centimeters LENGTH Metric Customary kilometer = 000 meters mile = 760 yards meter = 00 centimeters mile = 580 feet centimeter = 0 millimeters yard = feet foot = inches CAPACITY AND VOLUME Metric Customary liter = 000 milliliters gallon = quarts gallon = 8 fluid ounces quart = pints pint = cups cup = 8 fluid ounces MASS AND WEIGHT Metric Customary kilogram = 000 grams ton = 000 pounds gram = 000 milligrams pound = 6 ounces TIME year = 65 days year = months year = 5 weeks week = 7 days day = hours hour = 60 minutes minute = 60 seconds Inches Continued on the net side 9 th Grade Math Interim Assessment GO ON

4 Grades 9, 0, and Eit Level Mathematics Chart Perimeter rectangle P = l + w or P = (l + w) Circumference circle C = πr or C = πd Area rectangle A = lw or A = bh triangle bh A = bh or A = trapezoid A = (b + b )h or A = regular polygon A = ap circle A = πr P represents the Perimeter of the Base of a three-dimensional figure. B represents the Area of the Base of a three-dimensional figure. (b + b )h Surface Area cube (total) S = 6s prism (lateral) S = Ph prism (total) S = Ph +B pyramid (lateral) S = Pl pyramid (total) S = Pl + B cylinder (lateral) S = πrh cylinder (total) S = πrh +πr or S =πr(h + r) cone (lateral) S = πrl cone (total) S = πrl + πr or S = πr(l + r) sphere S = πr Volume prism or cylinder V = Bh pyramid or cone V = Bh Special Right Triangles sphere V = πr 0, 60, 90,, 5, 5, 90,, Pythagorean Theorem a + b = c Distance Formula d = ( ) + (y y ) Slope of a Line m = y y Midpoint Formula M = ( + y, + y ) Quadratic Formula Slope-Intercept Form of an Equation = b ± b ac a y = m + b Point-Slope Form of an Equation y y = m( ) Standard Form of an Equation Simple Interest Formula A + By = C I = prt TX th Grade Math Interim Assessment GO ON

5 SAMPLE A SAMPLE B Find the slope of the line y = 8. A B C 8 D Not here Janice uses a rectangular bo to store her art supplies. The dimensions of the rectangular bo are.5 inches by inches by.5 inches. What is the volume of this bo in cubic inches? Record your answer and fill in the bubbles on the answer grid below. Be sure to use the correct place value. DIRECTIONS Read each question. Then fill in the correct answer on your answer document. If a correct answer is not here, mark the letter for Not here. 9 th Grade Math Interim Assessment.

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7 If y is a function of in the equation y 9, which statement is true? A The dependent variable, y, is 9 more than the independent variable,. B The independent variable, y, is 9 more than the dependent variable, C The dependent variable,, is 9 more than the independent variable, y. D The independent variable,, is 9 more than the dependent variable, y. What is the slope of the line described by the equation 8 + y = 8? A B C D The kinetic energy of a car can be described by the function KE mv, 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 F remain constant G continually increase H increase and then become constant J decrease to zero The cost of renting a car for day at Cars Plus is $0 plus 0 cents per mile driven. The cost of renting a car for day at Need-A-Car is $0 plus 5 cents per mile driven. In a graph of the cost of a car rental, what does the cost per mile driven represent? F The -intercept G The y-intercept H The slope J The point of intersection 09 Math IA December 0 Page

8 5 The amount of chlorine, y, needed for a swimming pool varies directly with the amount of water,, needed to fill the pool. If 6 units of chlorine are needed for every 50 gallons of water, which of the following represents the equation of direct variation? A y If ( 7, y) is a solution to the equation 7y = 0, what is the value of y? A B 8 C.5 D 6.7 B C D 6 y 5 y y Joan went to a department store to buy a sweater that was on sale for 5% off the original price, p. Which equation can be used to determine, s, the sale price of the sweater, not including ta? F s p0.75p G s p0.5p H s p0.75p J s p0.5p 8 If the dimensions of a rectangle are tripled, which of the following best describes an effect on the rectangle? F The new area will be times as large as the original area. G The new area will be 9 times as large as the original area. H The new perimeter will be.5 times as large as the original perimeter. J The new perimeter will be 9 times as large as the original perimeter. 09 Math IA December 0 Page

9 9 The two figures shown below are similar Which scale factor was used to transform the smaller figure to the larger figure? A 7 B C 5 D 0 During a softball game Kendra threw 85 pitches, of which the umpire called strikes. What percent of Kendra s pitches did the umpire not call strikes? F 5% G 0% H 5% J 60% 09 Math IA December 0 Page

10 Point L under the translation ( + 5, y ) becomes point L. y P L T N R Which point on the grid will have the same coordinates as point L? A Point N B Point P C Point T D Point R If > 0 and y < 0, which statement must be true for the epression? y F The result of the epression is undefined. G The result of the epression is 0. H The result of the epression is negative. J The result of the epression is positive. 09 Math IA December 0 Page

11 Which point of the graph satisfies the conditions and y? y V S U T A Point S B Point T C Point U D Point V If y varies directly with and y is when is, which of the following represents this situation? F y 8 G y 0 H y 8 J y 5 A waitress at a local restaurant earns $.5 per hour plus tips. In two weeks she earned a total of $70, including $5.50 in tips. How many hours did the waitress work during this -week period? A 58 h B 8 h C 9 h D h 09 Math IA December 0 Page 5

12 6 The drawing below shows a -dimensional structure built from identical cubes. Front Right Which of the following does not represent a top, front, or right-side view of this -dimensional structure? F G H J 09 Math IA December 0 Page 6

13 7 The drawing below shows how squares can be joined at their vertices to form a right triangle. 8 On a weekly basis Tara sets aside of her weekly salary for rent, 5 for credit card payments, for groceries and utilities, and the cm rest, approimately $5, for entertainment. Which of the following is closest to Tara s weekly salary? 5 cm F $75 G $00 H $79 J $58 What is the area in square centimeters of the largest square? A 7 cm B 0 cm C 0 cm D 69 cm 09 Math IA December 0 Page 7

14 9 Look at the cylinder shown below. 7 feet 9.5 feet What is the total surface area of this cylinder in terms of? A B C D 7 ft 7ft ft 956ft 0 What is the length of YZ if RST is similar to XYZ Y R 6 S T X Z 5 F. units G 7.5 units H 0 units J 8 units 09 Math IA December 0 Page 8

15 The drawing below shows Jeremy s mailbo and the brace he used to secure it to the post. 7 in. 8 in. If the length of the brace is approimately 8 inches, which is closest to, the distance between the bottom of the mailbo and the point on the post where Jeremy secured the brace? A 7 in. B 5 in. C 9 in. D in. A group of girls is attempting to break the school record for the longest gum-wrapper chain. The girl s chain already measures 8 feet. The school-record chain is 5967 feet. What additional information is needed to determine how many gum wrappers the girls still need in order to break the record? F The amount of time it took to complete the current school-record chain G The number of gum wrappers each girl has collected H The number of gum wrappers needed to complete a foot of the chain J The amount of time needed to complete the chain 09 Math IA December 0 Page 9

16 The table below shows the highest and lowest points in elevation for 5 of the 7 continents. Highest and Lowest Continental Altitudes Continent Highest Point (elevation in feet) Lowest Point (elevation in feet) Asia 9,05,0 Africa 9,0 5 Europe 8,50 9 North America 0,0 8 South America,8 Based on the information in the table, which of the following statements is true? A Asia s lowest point is more than times lower than Africa s lowest point. B North America s highest point is more than,000 feet higher than South America s highest point. C Asia s highest point is more than.5 times as high as Europe s highest point. D Europe has the lowest point of all 5 continents. Which of the following is true of all squares and all rectangles? F II only I. All squares and all rectangles are equilateral. II. All squares and all rectangles are equiangular. III. All rectangles are squares. G III only H II and III only J I, II, and III 5 Danny wants an average grade of at least 9 for his four algebra eams. The scores for his first three eams are 9, 89, and 96. Which inequality can be used to find, the minimum grade Danny needs to earn on his fourth eam to have an average grade of at least 9? A B C D Math IA December 0 Page 0

17 6 The scatterplot below shows the gas mileage and weight of different vehicles. y Fuel Efficiency 50 Gas Mileage (miles per gallon) Weight (pounds) Which of the following is the best interpretation of this scatterplot? F As the weight of the vehicle increases, the gas mileage stays the same. G Vehicles that weigh the least seem to have higher gas mileage. H Vehicles that weigh the most seem to have higher gas mileage. J As the weight of the vehicle decreases, the gas mileage stays the same. 7 An architect is designing a scale model for a new office building. The rectangular base of the building will be 80 feet wide by 0 feet long. If the architect built the model using a scale in which inch represents feet, what are the dimensions of the base of the model? A 7 in. by 0 in. B 5 in. by 0 in. C in. by 0 in. D 55 in. by 60 in. 09 Math IA December 0 Page

18 8 Nadia used identical square tiles to design the four figures shown below. Figure Figure Figure Figure Which epression can be used to determine the number of square tiles used in each figure if n represents the number assigned to the figure? F n G n + H n + J n + 9 Which equation generates a graph containing the set of ordered pairs shown below? ( 5,),( 5,8),(5,),(0,) A B C D y 5 y 6 5 y 9 5 y 5 09 Math IA December 0 Page

19 0 GPW ' ' ' in the graph below is a dilation of GPW, using the origin as the center of dilation. Look at the cylinder shown below. 9 feet y 6 5 G' P' 0.5 feet G W' P W Which is closest to the lateral surface area of this cylinder? Which scale factor was used to create G' PW ' '? F G H J A 580 ft B 707 ft C 0 ft D 59 ft 09 Math IA December 0 Page

20 Parallelogram BLPS has vertices B (, ), L (, ), P (, 0), and S (, ). y If parallelogram BLPS is dilated by a scale factor of, with the origin as the center of dilation, what will be the coordinates of L? F (0, 5) G (9, 0) H (, 6) J (, 9) 09 Math IA December 0 Page

21 The drawing below shows a -dimensional figure. Front Side Which does not represent a top, front, or side view of this -dimensional figure? A C B D 09 Math IA December 0 Page 5

22 Look at the drawing of a volleyball shown below.. inches Which is closest to the volume of this volleyball? F 5 in. G 89 in. H in. J 6 in. 5 Mr. Kozar was planning on using the square pyramid tent shown below to go camping. He needs to replace the tent s zipper. ft l 0 ft If the zipper represents the slant height, l, of the tent, which of the following is closest to the length of the zipper that Mr. Kozar needs to replace? A 6. ft B 0.8 ft C 9. ft D.0 ft 09 Math IA December 0 Page 6

23 6 Mr. Pérez had a fair cube with a different mathematician s name labeled on each face. Each student in his math classes rolled the cube once to determine which mathematician would be the subject of that student s report. The results are shown in the table below. Mathematician Cube Results Name Frequency Pythagoras 7 Hypatia 6 Archimedes Agnesi 9 Gauss 6 Germain Which name or names on the cube had the same eperimental probability as theoretical probability of landing faceup? F Pythagoras G Agnesi H Hypatia and Gauss J Archimedes and Germain 7 The high school grade point averages (GPAs) of 0 recent graduates are shown below. All of these graduates applied for the same job, but only were hired. GPAs of Applicants Hired GPAs of Applicants Not Hired Based on the information in the table, which statement is true? A All applicants with a GPA of.0 or lower were not hired. B All applicants with a GPA or.00 or higher were hired. C The median GPA of all applicants was greater than the mean GPA of all applicants. D Each applicant who was hired had a GPA above the median GPA of all applicants. 09 Math IA December 0 Page 7

24 8 The cube below is constructed so that the sphere shown would fit inside it, touching the center of each face of the cube at eactly one point. J 0 The dimensions on the blueprints of Mrs. Dunn s house are proportional to the house s actual dimensions. The blueprints show the house s rectangular foundation to be 5.5 inches wide by 9 inches long. If the foundation actually measures 6 feet long, what is the width in feet of the actual foundation? H L K Record your answer and fill in the bubbles on the answer grid below. Be sure to use the correct place value. Which of the following lengths best represents the diameter of the sphere? F HK G LK H LJ J HJ 9 Ted has spinners. The first spinner is divided into equal sectors. The second spinner is divided into equal sectors, where is less than twice the number of sectors on the first spinner. The sectors of the first spinner are numbered from to. The sectors of the second spinner are numbered from to. If Ted spins both spinners once, what is the probability that both spinners will land on? A B C D Math IA December 0 Page 8

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