Page 3 GO ON. 1 The visual representation describes the relationships between the sets and subsets of numbers.

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1 043.8th.math.staar2

2 Some questions (c) 2014 by TEKS Resource System. Some questions (c) 2014 by Progress Testing. Some questions (c) 2014 by Region 10 Educational Service Center. Page 2

3 1 The visual representation describes the relationships between the sets and subsets of numbers. Which number set represents Section A in the Venn diagram? A Integers B Irrational Numbers C Rational Numbers D Real Numbers 2 Which point on the number line below best represents the value 20? F G Point L Point M H Point N J Point O Page 3

4 3 Janet has 60 identical coins with a diameter of 1.2 inches and thickness of 0.2 inches. If she stacks all the coins one of top of the other, what is the total volume of the stack of coins in cubic inches? Express your answer as a decimal rounded to the nearest hundredth. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 4 The lengths of the three sides of a right triangle are used to construct squares P, Q and R. If the area of Q is 225 square inches, and the length of one side of R is 12 inches, then what is the area of P in square inches? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Page 4

5 5 Annaliese has a mutual fund that compounds annually at 3.5% per annum. Her principal was $750 and her current balance is $ How many years has she had this fund? A 5 B 6 C 7 D 8 6 Hannah invested $35,000 in a mutual fund that earns 6% interest per annum compounded annually. To the nearest dollar, how much was her investment worth after 3 years? F $39,200 G $39,326 H $41,300 J $41,686 7 Jude earns $54 interest each year on an investment. His principal was $1,800. What is Jude's interest rate? A 3% B 9% C 30% D 90% Page 5

6 8 Isiah needs $3,400 to purchase a motorcycle. He has a savings account that earns 1% monthly interest at Riverside Bank that has a balance of $1500. If he adds $200 to the account each month, how many months will it take him to have enough money to buy the motorcycle? Make and complete table like the one below to help you solve the problem. Beginning Interest End of Month Deposit Balance Earned Balance $1500 $200 $17 $1,717 $1717 $200 $19.17 $1, Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 9 Rachel finances $18,000 for a car payment at 2.9% interest. She can make a payment of $ each month for 5 years, or she can pay $ each month for 3 years. How much more will she pay in interest if she opts for the 5-year payment plan? A $45.19 B $ C $ D $1, Page 6

7 10 The heights, in inches, of the 5 starters on 2 basketball teams are shown below. Team A: 71, 81, 72, 78, 82 Team B: 69, 81, 78, 79, 76 Which of the following is true? F Team B has a lower mean and a higher mean absolute deviation than Team A. G The mean absolute deviation of Team A is lower than the mean absolute deviation of Team B. H Team A has a lower mean and a higher mean absolute deviation than Team B. J The mean absolute deviation of Team A is higher than the mean absolute deviation of Team B. Page 7

8 11 Which relationship is suggested by the scatterplot below? A The number of calories you eat does not affect your weight. B The more calories you eat, the less you weigh. C The fewer calories you eat, the more you weigh. D The fewer calories you eat, the less you weigh. Page 8

9 12 Rectangle ABCD is centered at the origin on the coordinate plane below. The coordinates of A, B, C, and D are ( 2, 1), (2, 1), (2, 1), and ( 2, 1), respectively. If rectangle ABCD is dilated by a scale factor of to produce the image A'B'C'D', what is the area, in square units, of the image A'B'C'D'? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Page 9

10 13 Triangle ABC is shown in the graph below. Triangle ABC is reflected over the y-axis to create triangle A'B'C'. Which of the following rules describes this transformation? A (x, y) ( y, x) B (x, y) (x, y) C (x, y) (y, x) D (x, y) ( x, y) Page 10

11 14 The drawing below shows triangle ABC. If triangle ABC is rotated 90 clockwise around point A, what are the new coordinates of point C? F (5, 1) G (5, 6) H (2, 1) J (7, 6) 15 A rectangle is dilated by a scale factor of 1. Which of the following is true? A The resulting figure will not be congruent to the original rectangle, because dilations with a scale factor of 1 cause the shape to change. B The resulting figure will not be congruent to the original rectangle, because all dilations cause the coordinates to change. C The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates. D The resulting figure will be congruent to the original rectangle, because all dilations are congruent to the original figure. Page 11

12 16 Triangle ABC has vertices A(1, 3), B(2, 0), and C( 1, 1). After a transformation is applied to the triangle, its new vertices are A'(1, 3), B'(2, 0), and C'( 1, 1). Which of the following transformations was applied to the triangle? F G 270-degree clockwise rotation Reflection over the x-axis H Reflection over the y-axis J 90-degree clockwise rotation 17 Andria graphs the two equations below on the same coordinate plane. y = 2x 4 y = x + 5 At what point do the graphs of the equations intersect? A ( 3, 2) B (3, 2) C ( 3, 2) D (3, 2) Page 12

13 18 What is the measure of CAE in the diagram below? F 98 G 134 H 82 J What is the value of x in the equation below? 3x + 14 = 4x 7 A x = 7 B x = 3 C x = 8 D x = 14 Page 13

14 20 Kendall and Asa are both saving up money to buy new mountain bikes. Kendall has $50 and will save $10 every week. Asa has $15 and will save $15 every week. After how many weeks will Kendall and Asa have the same amount of money? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 21 The inequality below represents a situation x < 2.5x Which word problem could the inequality represent? A It costs $2.50 per ride on the city bus. However, if a $27 monthly pass is bought, the cost per ride is only $0.70. How many rides per month would make buying a pass worthwhile? B Given that there are 2.5 centimeters in an inch, what is the maximum number of 0.7-inch pieces that can be cut from a string that is 27 centimeters long? C Jeremy spent $27 on ingredients to make a large batch of gourmet cookies. If he sells each cookie for $2.50, what numbers of cookies can he sell so that his average profit per cookie is more than 70? D A 27-gallon container full of water starts leaking at a rate of 2.5 gallons per minute at the same time Laquanda starts adding water to it at a rate of 0.7 gallons per minute. After how many minutes will the amount of water that has leaked be more than the amount that remains? Page 14

15 22 There are 2 companies in the town of Little Creek that transport packages, Ready Post and Express Mail. Ready Post charges $4 for the first pound and $0.25 for each additional pound, while Express Mail charges $6 for the first pound and $0.15 for each additional pound. Which inequality shows the weights, x, in pounds, of packages that would be more expensive to mail through Ready Post? F (x 1) > (x 1) G 4(x 1) (x + 1) > 6(x 1) (x + 1) H x > x J (x + 1) > (x + 1) 23 Two points are graphed on the coordinate plane below. How far away are the two points? A 3 B 10 C 7 D 58 Page 15

16 24 The triangle below is a right triangle. What is the length of HJ? F G 6 in. 8 in. H 9 in. J 11 in. 25 Tyrone is having an 80-foot tree removed from his front yard. One of the tree surgeons ties a rope to the top of the tree and stands 60 feet from the base of the tree while his partner saws through the tree. The rope will help them control the direction in which the tree falls. In the diagram below, side X represents the length of rope needed. What is the length of side X? A 60 feet B 80 feet C 100 feet D 120 feet Page 16

17 26 A cube has a surface area of 384 square inches. How many inches long is each side of the cube? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 27 The soda can shown below is a cylinder with a diameter of 2 inches and a height of 5 inches. The can has a paper label that completely covers the the main face of the can. What is the area of the label, to the nearest tenth of a square inch? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Page 17

18 28 Bethany has a sphere made of modeling clay. The dimensions of the sphere are shown below. Bethany used the clay from the sphere to make a right circular cone. The cone had a base with radius of 11 centimeters and a height of 11 centimeters. How many cones of this size can Bethany make with all the modeling clay from the sphere? F 1 G 2 H 3 J 4 29 An empty cone with the height of 24 cm is placed inside a cylinder of the same height. If the cone and cylinder both have a radius of 12 cm, how much can the cylinder hold with the empty cone inside it? A 3, cubic centimeters B 14, cubic centimeters C 10, cubic centimeters D 7, cubic centimeters Page 18

19 30 The radius of the base of a cylinder shown below is x cm. If the height is 2x cm, which expression represents the volume of the cylinder in cubic centimeters in terms of x? F G πx 2 (2x) πx(2x) H πx(2x) 2 J 2πx(2x) 31 Look at the table below. Which equation represents the relationship of x to y? A y = x + 6 B y = x 2 C y = 5x D y = 2x + 13 Page 19

20 32 The graph of a line is shown on the grid below. Which equation best represents the graph of the line? F y = 2x + 3 G y = x + 3 H y = x + 3 J y = 2x Kelsey has several different payment options at her new sales job. Which of the following payment options represents a proportional relationship between her total earnings and the number of hours that she works? A A one-time payment of $2,300 B Hourly wages of $15 C A salary of $595 a month plus $7.45 commission for each sale D Hourly wages of $12.50 plus a one-time bonus of $180 Page 20

21 34 Which of the following does NOT represent a function? F G H J {(-2, 4), (-1, 2), (0, 0), (1, -2)} Page 21

22 35 Below is a map showing the relationship between a domain, x, on the left, and a range, y, on the right. Does the map shown represent a function? Why or why not? A Yes, because each y-value has exactly one x-value B Yes, because the points will form a straight line C No, because the points will not form a straight line D No, because an x-value is repeated 36 The table below shows the number of miles of road that each contractor paved every week. Which contractor reported mileage that increased proportionally over the four weeks? F Contractor #1 G Contractor #2 H Contractor #3 J Contractor #4 Page 22

23 37 John found the markers he wanted at two stores. At the grocery store, a pack of 5 markers cost $2.45. At the office supply store, they cost $5.00. What is the minimum number of markers needed in the pack at the office supply store for that package to be a better deal? A 9 B 10 C 11 D 12 Directions: The scatter plot below shows the body length and weight of a random sample of 50 patients at a pediatrician's office. A line of best fit for these data points is also shown on the plot. Use the data and linear model to answer any questions that follow. Page 23

24 38 Mrs. Vargas takes her son Denys to the pediatrician's office for a check-up. Denys is 5 years old and is 3 feet 6 inches tall. Based on the sample data, which of the following is the best estimate of Denys's weight? F G 22 pounds 30 pounds H 38 pounds J 44 pounds Page 24

25 39 Sheena noticed that the price of new albums at her favorite record store was increasing every month. She recorded the price of new albums each month for 6 months and plotted her data on a coordinate grid. Sheena was able to write a linear function to describe the price increase. Which coordinate grid correctly illustrates Sheena's data? A B C D Page 25

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27 40 Which is the graph of the equation y = x + 4? F G H Page 27

28 J Page 28

29 41 In the equation y = x, x represents feet and y represents yards. Which is the graph of this equation? Page 29

30 A B C D Page 30

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32 42 Jacoby sells orange juice at his juice stand. The graph below shows how much Jacoby makes selling his orange juice. Which of the following shows the rate at which Jacoby earns money selling his orange juice? F G $1 for every gallon sold $1 for every 4 gallons sold H $4 for every gallon sold J $15 for every 4 gallons sold Page 32

33 43 The table below shows that Y changes in relation to X at a constant rate. Sara graphed the information in the table and connected the points of the graph with a line. Which feature of Sara's line represents the unit rate of change of Y in relation to X? A Distance from (1, 1) B x-intercept C Slope D y-intercept 44 Point B lies on line AC, as shown on the coordinate grid below. Given A( 4, 4), B( 1, 2), and C(5, y), what is the value of y? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Page 33

34 45 On the coordinate grid below, the dashed figure is the image of a dilation applied to the smaller solid figure. Which of the following represents this dilation? A (x, y) (6x, y) B (x, y) ( x, y) C (x, y) ( x, y) D (x, y) (2x, y) Page 34

35 46 ΔOLD has vertices at ( 2, 1), (2, 6), and (8, 3). ΔNEW represents a dilation of ΔOLD. If the vertices of ΔNEW are located at (, ), (, 4), and (, 2), which of the following represents the dilation that transforms ΔOLD to ΔNEW? F (x, y) ( x, y) G (x, y) (x +, y ) H (x, y) ( x, y) J (x, y) ( x, y) 47 Which set of coordinates represents the image of a dilation applied to the triangle below? A A'(6, 7); B'(8, 7); C'(6, 10) B A'(4, 6); B'(8, 6); C'(4, 2) C A'(2, 2); B'(2, 10); C'(10, 2) D A'(10, 1); B'(10, 5); C'(6, 1) Page 35

36 48 Triangle XYZ is similar to triangle ABC. Which of the following statements is NOT true? F G The ratio of XY to AB is equal to the ratio of YZ to BC. The ratio of XY to XZ is equal to the ratio of AB to AC. H The ratio of XY to YZ is equal to the ratio of AB to BC. J The ratio of XY to BC is equal to the ratio of YZ to AB. 49 Which list is in order from least to greatest? A 16.72,, 1, 5.93, 14 B 1,, 16.72, 5.93, 14 C 14, 5.93, 1,, D 16.72, 1,, 5.93, 14 Page 36

37 50 The Petronas Towers in Kuala Lumpur, Malaysia, are 1,483 feet tall. The Key Tower in Cleveland, Ohio, is 947 feet tall. How is the difference in height between the Petronas Towers and Key Tower expressed in standard scientific notation? F G feet feet H feet J feet Page 37 BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON YOUR ANSWER DOCUMENT STOP