Tenth Grade Mathematics TAKS Student s Edition. Diagnose Remediate. Practice Reinforce. Evaluate PASS
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1 Practice Reinforce Diagnose Remediate Evaluate PASS Tenth Grade Mathematics TAKS Student s Edition 2007 TripleNterprises Publishing This program is protected by copyright law and international treaties. Unauthorized reproduction of any portion of it may result in severe and criminal penalties and will be prosecuted to the maximum extent possible. 10
2 TAKS Practice 1 Objective 6: (8.6)(A) Generate Similar Shapes Using Dilations, Including Enlargements and Reductions 5-8 (8, 8) Which dilation is a contraction? Which dilation is a expansion? 1 TripleNterprises Publishing 2010
3 TAKS Practice 1 Objective 6: (8.6)(A) Generate Similar Shapes Using Dilations, Including Enlargements and Reductions 9 FGH is similar to ABC. What scale factor was used to dilate ABC to FGH? A 0.25 B 0.8 C 1.25 D 8 10 Quadrilateral WXYZ was dilated to form quadrilateral MNPQ. Which number best represents the scale factor used to change quadrilateral WXYZ to quadrilateral MNPQ? F G H 4 J 2 11 Rectangle DEFG has vertices D (-5, 1), E (1, 1), F(1, -1), G(-5, -1). Rectangle DEFG was dilated by a scale factor of 5 and has (0, 0) as the center of dilation. What are the coordinates of G? A (-25, -5) B (-10, 5) C (-1, 5 1 ) D ( 5 1, 10)
4 TAKS Practice 1 Objective 6: (8.6)(A) Generate Similar Shapes Using Dilations, Including Enlargements and Reductions 12 ABC graphed below is to be dilated by a scale factor of 2 1. Which graph shows this transformation? F H G J 3 TripleNterprises Publishing 2010
5 TAKS Practice 1 Objective 6: (8.6)(A) Generate Similar Shapes Using Dilations, Including Enlargements and Reductions 13 Identify the drawing that shows Figure A under dilation to produce Figure B using center of dilation at the origin and a scale factor of 3. Figure B Figure B A C Figure A Figure A Figure B B Figure A D Figure A Figure B
6 TAKS Practice 1 Objective 6: (8.6)(A) Generate Similar Shapes Using Dilations, Including Enlargements and Reductions 14 Regular hexagon ABCDEF is similar to hexagon QRSTUV. What scale factor was used to dilate regular hexagon ABCDEF to hexagon QRSTUV? F 1.45 G 1.62 H 2 J The graph shows square GHJK with vertices G (2, 2), H (2, 4), J (4,4), K (4, 2) and WX with endpoints W (7, 7) and X (7, 14). At what coordinates would Y and Z be placed to create square WXYZ, a square similar to GHJK? A Y (0, 14); Z (0, 7) B Y (7, 14); Z (14, 14) C Y (7, 0); Z (14, 0) D Y (14, 14); Z (14, 7) 5 TripleNterprises Publishing 2010
7 TAKS Practice 1 Objective 6: (8.6)(A) Generate Similar Shapes Using Dilations, Including Enlargements and Reductions 16 The graph shows PQR with vertices P (-4, -4), Q (0, 8), and R (8, -8) and LM with endpoints L (0, 14 and M (4, -4. At what coordinates would K be placed to create KLM, a triangle similar to PQR? F (-4, - 4) G (-2, -2) H (0, 0) J (1, 1) Logic Exercise/Manipulative 1
8 TAKS Practice 6 Objective 7: (8.7)(C) Pythagorean Theorem Use the pictures and models to demonstrate the 7 TripleNterprises Publishing 2010
9 TAKS Practice 6 Objective 7: (8.7)(C) Pythagorean Theorem Use the pictures and models to demonstrate the 16 feet The width of the pool is 30 meters. What is the length of the diagonal?
10 TAKS Practice 6 Objective 7: (8.7)(C) Pythagorean Theorem Use the pictures and models to demonstrate the 9 What is the length of the hypotenuse in the figure below? A 17 B 33 C 34 D Use the Pythagorean theorem to find the figure that is a right triangle. F H G J 11 In each polygon below, line segment d is a diagonal. Which drawing does not show enough information to determine the length of line segment d? A C B D 9 TripleNterprises Publishing 2010
11 TAKS Practice 6 Objective 7: (8.7)(C) Pythagorean Theorem Use the pictures and models to demonstrate the 12 In the triangle below, what is a? F 6 2 G 8 H 9 J In the triangle below, what is b? A 5 B 8 C 10 D The sides of squares have a special relationship when the sides form a right triangle. What is the area of the smallest square in the graph? F 8 G 9 H 16 J The lengths of the sides of sets of 3 squares are shown below. Which set of squares will form a right triangle using the dimensions listed? A 4, 7.5, 8.5 B 6.5, 29, 30 C 7, 18, 19 D 14, 22, 26
12 TAKS Practice 6 Objective 7: (8.7)(C) Pythagorean Theorem Use the pictures and models to demonstrate the 16 In a retail shopping area, 3 of the square buildings form a picnic area shaped like a right triangle. The area of the Building 1 is 1,089 square feet and the area of Building 3 is 3,025 square feet. What is the area of Building 2 in square feet? F 1,089 G 1,600 H 1,936 J 4, TripleNterprises Publishing 2010
13 Logic Exercise/Manipulative 6
14 TAKS Practice 22 Objective 10: (8.14)(C) Select or develop an appropriate problem solving strategy from a variety of different types. decrease his TripleNterprises Publishing 2010
15 TAKS Practice 22 Objective 10: (8.14)(C) Select or develop an appropriate problem solving strategy from a variety of different types. Fort worth
16 TAKS Practice 22 Objective 10: (8.14)(C) Select or develop an appropriate problem solving strategy from a variety of different types % 10, 11, 12, and TripleNterprises Publishing 2010
17 TAKS Practice 22 Objective 10: (8.14)(C) Select or develop an appropriate problem solving strategy from a variety of different types. 14, 15, and
18 Logic Exercise/Manipulative TripleNterprises Publishing 2010
19 TAKS Practice 31 Objective 3: A(c)(2)(D): The student graphs and writes equations of lines given characteristics, such as two points, a point and a slope, or a slope and y-intercept. 1 Which of the following best describes the line that has a slope of 2 and y-intercept of 1? A y 2x 1 B y 2x 1 C y 2x 1 D y 2x 1 2 Which function represents the line with a slope of -3 and y-intercept -4? F y 3x 4 G y 3x 4 H y 3x 4 J y 3x 4 3 Which equation below represents the 2 line with m and goes through 3 (0, 6)? A 2 y x B y x 3 2 C y x 6 3 D 2 y x Which equation represents the line containing the points (2, 2) and (4, 7)? 5 F y x 3 2 G 5 y x 3 2 H 5 y x J y x Which function represents the line that contains the points (8, -4) and (0, 2)? 3 A y x B y x 2 4 C 4 y x D y x Which equation represents the line containing the points (-2, -12) and (6, 4)? F y 2x 8 G y 2x 8 H y 2x 8 J y 2x 8 7 Which of the following best describes the line that has a slope of -1 and contains the point (5, -3)? A y x 2 B y x 2 C y x 2 D y x 2 8 Which equation represents the line that has the point (-2, -12) and m 9? F y 9x 12 G y 9x 2 H y 9x 6 J y 9x 6
20 TAKS Practice 31 Objective 3: A(c)(2)(D): The student graphs and writes equations of lines given characteristics, such as two points, a point and a slope, or a slope and y-intercept. 9 Which graph best describes the line that has a slope of 5 6 and a y-intercept of -1? A C B D 19 TripleNterprises Publishing 2010
21 TAKS Practice 31 Objective 3: A(c)(2)(D): The student graphs and writes equations of lines given characteristics, such as two points, a point and a slope, or a slope and y-intercept. 10 Which graph represents the line containing the points (0, -7) and (8, -5)? F H G J
22 TAKS Practice 31 Objective 3: A(c)(2)(D): The student graphs and writes equations of lines given characteristics, such as two points, a point and a slope, or a slope and y-intercept. 11 Which graph represents the line containing the point (6,-3) and has a slope of 2? 3 A C B D 21 TripleNterprises Publishing 2010
23 TAKS Practice 31 Objective 3: A(c)(2)(D): The student graphs and writes equations of lines given characteristics, such as two points, a point and a slope, or a slope and y-intercept. 12 What is the equation of the line shown on the coordinate plane below? F 1 y x 3 3 G y 3x 3 H 1 y x 1 3 J y 3x 1 13 Which linear function best represents the line shown on the graph below? 1 A y x 7 4 B y 4x 7 C y 4x 2 1 D y x Which equation represents the line on the graph below? F 2 y x G y x H y x J y x 1 5
24 Logic Exercise/Manipulative 31 The picture below is a replica of a drawing of a stained glass window. There are 8 lines in this picture. Using the point (0, 0) as the origin, find the equations of all the lines in the drawing in STANDARD form. 23 TripleNterprises Publishing 2010
25 TAKS Practice 46 Objective 2: A(b)(2)(C): The student interprets situations in terms of given graphs [or creates situations that fit given graphs]. 1 Which of the following graphs shows the steady depreciation of a vehicle over 20 years? A C B D 2 A certain town tracked how many speeding tickets were given during 2 years and the driver s speed in a 65 mph zone. According to the following graph, which of the following is true? F G H J No speeding tickets were given for anyone going 66mph. The most tickets were given to drivers going 75mph The least amount of tickets given were to drivers going 70mph. The police will not give a driver a ticket that is going less than 5 mph over the speed limit.
26 TAKS Practice 46 Objective 2: A(b)(2)(C): The student interprets situations in terms of given graphs [or creates situations that fit given graphs]. 3 A new candy store opened and for the first 3 months their sales were about the same each month. For the next 6 months, the sales steadily increased and leveled off for the last 3 months of the year. Which of the following graphs best represents the sales of the candy store? A Monthly Sales C Monthly Sales B Monthly Sales D Monthly Sales 4 The graph below shows the income per month of a charity for the first 10 months of the year. The charity s biggest fundraising events are in April and September Which statement is a reasonable conclusion from this graph? F G H J The September fundraising event brought in the most money. The months with the most amount of donations are March and May. The April fundraising event does not bring in very much money compared to the rest of the year. The months with the least amount of donations are January, February, and June. 25 TripleNterprises Publishing 2010
27 TAKS Practice 46 Objective 2: A(b)(2)(C): The student interprets situations in terms of given graphs [or creates situations that fit given graphs]. 5 On a particular day, rain fell steadily throughout the day at the rate of 0.01 inches per hour. Which graph best represents the amount of rain that fell in one day? A C B D 6 A personal trainer keeps track of the heart rate of his clients when they do cardiovascular exercise. The graph shows clients ages and the heart rate they obtain during their exercise. Which statement is a reasonable conclusion for this graph? F G H J The age of the client with the greatest heart rate is 65. The heart rate increases as the age increases. The heart rate decreases as the age increases. The heart rates are not related to age.
28 TAKS Practice 46 Objective 2: A(b)(2)(C): The student interprets situations in terms of given graphs [or creates situations that fit given graphs]. 7 Alex stayed home from school because he had a fever. The fever was at its highest point when he first woke up. The fever decreased steadily until about noon then stayed the same for about 3 hours then increased again for about 3 hours then decreased again. Which graph best represents Alex s fever? A C B D 8 A high school softball coach kept track of the total runs they scored each year for the past 10 years and compared that to the number of games they won each year. The graph shows this comparison. According to the graph, which of the following statements is true. F G H J The years with the least amount of wins, the least number of runs were scored. The number of runs decreases as the number of wins increased. The number of runs and the number of wins is not related. The years with the most amount of wins, the least amount of runs were scored. 27 TripleNterprises Publishing 2010
29 TAKS Practice 46 Objective 2: A(b)(2)(C): The student interprets situations in terms of given graphs [or creates situations that fit given graphs]. 9 On a vacation at the beach, the Rose family wanted to charter a boat. The graph shows the cost per person depending on how many people will be on the boat. Which of the following statements is true based on the graph? A B C D The cost increases as the number of people increases. The cost decreases as the number of people increases The cost is the same regardless of how many people are on the boat. The cost decreases as the number of people decreases. 10 In a medical building a new elevator was in installed. The graph shows the difference in speed between the new elevator and the old elevator on a trip from the first floor to the tenth floor. According to the graph which of the following is true? F G H J The old elevator reaches the tenth floor 2 seconds faster than the new elevator. The old elevator is not any different than the new elevator. The new elevator is slower than the old elevator. The new elevator reaches the tenth floor 2 seconds faster than the old elevator.
30 TAKS Practice 46 Objective 2: A(b)(2)(C): The student interprets situations in terms of given graphs [or creates situations that fit given graphs]. 11 The graph shows the costs of t-shirts from 2 different companies. According to the graph which of the following statements is true? A B C D Big Ts would cost less to purchase 175 t-shirts. Big Ts would cost more regardless of how many t-shirts are purchased. T-Galore would cost more to purchase 50 t-shirts. T-Galore would cost less regardless of how many t-shirts are purchased. 12 Carlos is comparing shipping costs of 2 different companies. The graph shows the relationship between weight of the package and the cost to ship the package for the same distance. According to the graph, which of the statements is true? F G H J Go Ship costs more to ship for any weight package. Ship-X is the cheaper of the two companies. Go-Ship costs less to ship a package less than 20 lbs. Ship-X costs more to ship a package more than 20 lbs. 29 TripleNterprises Publishing 2010
31 TAKS Practice 46 Objective 2: A(b)(2)(C): The student interprets situations in terms of given graphs [or creates situations that fit given graphs]. 13 Katherine and Bobby got a new video game which neither of them has ever played before. The graph shows the scores and the number of hours that they have played the game. Which of the following statements is true about the graph? A B C Katherine s scores are always higher than Bobby s. Bobby s scores are always higher than Katherine s. For the first 10 hours, Bobby s scores are lower than Katherine s. D Between 11 and 12 hours, Katherine s high scores became higher than Bobby s. 14 Two historical sites keep track of the number of visitors they have each year. The graph shows the number of visitors they have had each year for the last 10 years. According to the graph, which of the statements is true? F G H J Site A has more visitors each year than site B. Site B has more visitors each year than site A. Site A had more visitors in 1995 than site B. Site B had fewer visitors in 2004 than site A.
32 Logic Exercise/Manipulative 46 The graph below shows the level of a lake over the course of a year. 1 Describe the change in the level of the lake in terms of rate of change. 2 What are possible reasons why the level changes? 3 Is this graph a function? If so, what are the independent and dependent quantities? 31 TripleNterprises Publishing 2010
1. The area of the surface of the Atlantic Ocean is approximately 31,830,000 square miles. How is this area written in scientific notation?
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