Some questions (c) 2014 by TEKS Resource System. Page 2 GO ON

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1 043.8th.math.staar1

2 Some questions (c) 2014 by TEKS Resource System. Page 2

3 1 The visual representation describes the relationships between the sets and subsets of numbers. 4 Jason is going to invest $250 in a savings account. He plans to keep the money in the savings account for 3 years to earn interest at the rate of 2%, compounded annually. How much less money will Jason have in this account at the end of 3 years if he earned only simple interest? A $0.30 B $15.00 $15.30 Which number set represents Section A in the Venn diagram? A Integers B Irrational Numbers Rational Numbers D Real Numbers 2 The area of a square is 22 square feet. Which of the following is closest to the length of each side of the square? A 4.5 B D $ Damon s father started a college fund on Damon s 8th birthday. He deposited $7,500 into a D (certificate of deposit) that yields an interest rate of 0.23% compounded annually. How much money will the D be worth when Damon turns 18 years old? A $7, B $17, $59, D $7, D A car traveled 180 miles and used 6 gallons of gas. If the same car traveled 1,260 miles under similar conditions, how many gallons of gas would be used? A 30 B D 210 Page 3

4 6 Jenna has started working at a part-time job to save money for college. She will graduate from high school in 28 months. She plans to invest $350 each month in an interest-bearing savings account with a financial institution that does not charge fees as long as a minimum of $200 is kept in the account. She does not plan to withdraw any money until she graduates from high school. Which of these statements best describes the amount of money Jenna will have in the savings account when she graduates? 8 Jenna is taking out a $1,200 student loan to pay for some college expenses. She is considering two different loan options that are described in the table below. ollege Loan Options OptionAnnual ompound Interest Rate Repayment Time A 4.5% APR 5 years B 3.8% APR 4 years How much more will it cost Jenna to repay option A than option B? A The account balance will be less than $350 times 28 because of bank fees. B The account balance will be equal to $350 times 28. The account balance will be more than $350 times 28 because of interest earned. D There is no way to predict the amount of money she will have because of financial uncertainty. 7 Frankie s car broke down. The repair costs are $400. Because he does not have any money saved, he will have to get a payday loan for the car repair. He researched 7-day payday loans and found that he will owe $9.50 for every $100 he borrows, plus the money he borrows. How much will Frankie have to pay back, if he takes the 7-day payday loan? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. A $38.00 B $ $ D Not here Page 4

5 9 DeeAnne wants to survey the 8th grade students at her school to learn their opinions about field trips. Which of the following sampling methods is most likely to create a random sample that is representative of the population of 8th grade students at her school? 11 A scatterplot of a data set is shown below. A hoosing every 10th student in 8th grade that enters the gym during 4th period. B Asking 8th grade students to volunteer for the survey. Selecting the first 3 girls and boys of an alphabetized list in every 8th grade class. D Placing the school identification numbers of all 8th grade students in a bag and drawing 15 numbers without looking. 10 What is the mean absolute deviation of the values below? 12.7, 22, 23.5, 24, 11, 22 Which statement best describes the correlation of the data set? A The data set has a strong correlation. B The data set has a negative correlation. The data set has a positive correlation. D The data set has no correlation. A 0 B 4.9 D 19.2 Page 5

6 12 Rectangle QRST was dilated to form rectangle ABD as shown below. 14 Which table correctly organizes transformations into those that always preserve congruence and those that may not always preserve congruence? A What is the relationship between the perimeter of rectangle ABD and the perimeter of rectangle QRST? A The perimeter of rectangle ABD is 2 cm less than the perimeter of rectangle QRST. B B The perimeter of rectangle ABD is times the perimeter of rectangle QRST. D There perimeter of rectangle ABD is the perimeter of rectangle QRST. D The perimeter of rectangle ABD is the perimeter of rectangle QRST. 13 A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left? A (t, u) (t + 3, u + 8) B (t, u) (t 3, u + 8) (t, u) (-t 3, u + 8) D (t, u) (t + 8, u 3) Page 6

7 15 Triangle STU is graphed on the coordinate plane as shown below. 16 Jack and Tim are racing remote-controlled cars. Jack s car travels 3.5 feet per second, while Tim s car travels 5.25 feet per second. Because Jack s car is slower, Tim gave Jack a 10-foot head start. Which inequality could be used to determine after how many seconds, s, Tim s car will be ahead of Jack s car? A 3.5s > 5.25s +10 B 3.5s + 10 > 5.25s 5.25s > 3.5s + 10 D 3.55s 10 < 5.25s If triangle STU is rotated 90 counterclockwise about the origin, which of the following statements would be true about the new triangle S T U? 17 In the diagram, lines l and m are parallel. Line n is a transversal that creates eight angles with the parallel lines. A Triangles STU and S T U will have the same orientation and be congruent. B Triangles STU and S T U will not have the same orientation. Triangles STU and S T U will not be congruent. D Triangles STU and S T U will have the same orientation. Based on the information in the diagram, which of the following statements is true? A B D Page 7

8 18 John and Anna entered a giant pumpkin contest. John s three pumpkins weighed 2n pounds each. Anna s six pumpkins weighed 3n 4 pounds each. The total weight of John s 3 pumpkins was the same as the total weight of Anna s six pumpkins. This situation can be expressed with the equation below. 19 Solve the following equation algebraically. Show all work of your solution process. 3(2n + 1.2) = 6(3n 4) What is the solution to this equation? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Page 8

9 20 Identify which of the following problem situations corresponds to the equation if x represents the number of bags of potatoes that 1 acre of land produces. x 24 = x A If three-fifths of an acre produces twenty-four fewer bags of potatoes than an acre, then how many bags of potatoes does one-fifth of an acre yield? B If three-fifths of an acre produces twenty-four more bags of potatoes than one-fifth of an acre, then how many bags of potatoes does an acre yield? If three-fifths of an acre produces twenty-four fewer bags of potatoes than one-fifth of an acre, then how many bags of potatoes does an acre yield? 21 Tricia and Melanie are both saving money for their summer vacations. They both began saving at the same time. Tricia started with $10.25 and adds $5.15 to her savings every month. Melanie did not have a starting amount but adds $10.25 to her savings every month. Which of the following equations could be used to determine how many months, m, it will take before Tricia and Melanie both have saved the same amount of money? A 5.15m = 10.25m B 10.25m = 10.25m 10.25m = 5.15m D 10.25m 5.15 = 10.25m 22 Triangle AB is graphed on the coordinate plane below. D If three-fifths of an acre produces twenty-four more bags of potatoes than an acre, then how many bags of potatoes does one-fifth of an acre yield? Which of the following lengths approximates the distance between points A and B? A 14.5 units B 7 units 5.4 units D 3.7 units Page 9

10 23 James is helping his uncle build wooden fences and gates. Each gate is supported by a diagonal board connecting the base of the gate to its edge. Which of the gates has an edge that is NOT perpendicular to the base? 24 On some days, Jardon travels from home directly to his work. On other days, Jardon visits with his friend on his way to work. A B Approximately how much farther would Jardon travel by walking from home to his friend s house and then to work than he would travel by walking from home to work? A 92 yds B 120 yds 268 yds D 360 yds 25 An oatmeal container has a diameter of 5 inches and a volume of in³. What is the lateral surface area of the oatmeal container? Use 3.14 for. A in. 2 B in in. 2 D D in. 2 Page 10

11 26 The parking lot at the local ice cream store has 4 cylindrical posts in front of the store as shown below. The top and sides of these posts need to be painted bright yellow. The diameter of the base of each post measures 1 foot, and each post is 3 feet high. 27 Samuel cut a cone from a piece of wood shaped as a cylinder. He measured the circumference of the base of the cylinder and found that it measures 9.42 inches. The height of the cylindrical piece of wood is 6 inches. What is the volume of Samuel s cone if it has the same base area and height as the cylinder? Use = A in. 3 B in in. 3 D in. 3 How many square feet must be painted on the four posts? Use 3.14 for. 28 Mya has an exercise ball in the shape of the sphere shown below. She wants to increase the weight of the ball by filling it with water. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Which of the following is closest to the amount of water, in cubic inches, that Mya's exercise ball will hold if it is completely full of water? (Use = 3.14) A in. 3 B in in. 3 D 7,235 in. 3 Page 11

12 29 A model of the Pythagorean Theorem is shown below. 30 The diagram below shows a cone and a cylinder that have congruent bases and heights. Which of the following statements, where h represents height, is true? Based on the information in the model, which equation represents the Pythagorean theorem? A = B = = 13 D = A The volume of the cone and the cylinder are equivalent. B The volume of the cone is 3 times the volume of the cylinder. The volume of the cylinder is 3 times the volume of the cone. D Not here 31 The volume of a cylinder is 240 cubic inches. Which equation can be used to find B, the area of the base of the cylinder? A B = 240h, where h is the height of the cylinder. B B =, where h is the height of the cylinder. B =, where h is the height of the cylinder. D B = h, where h is the height of the cylinder. Page 12

13 32 Which equation below represents a line with a slope of that passes through the point ( 4.5, 10)? A B D 33 A table of data is shown below. x y Based on the information, which equation, in the form y = mx + b, models the linear relationship? A y = x Martha opens a new cell phone store. She spends $24,500 purchasing inventory to sell, buying furniture, and advertising the business. The table below shows some equations Martha uses to calculate various costs and profits in her business, where c is the number of cells phones sold, w is the labor cost, and h is hours worked. ell Phone Store Profits/osts Equation Used to alculate Raw profits p = 12.5c 24,500 Retail price for a cell phone r = 1.75w Sales commissions s = 55.95c Wages w = 10.25h Which of these is a non-proportional function? A p = 12.5c 24,500 B r = 1.75w s = 55.95c D w = 10.25h B y = 4x - 1 y = x + 4 D y = 4x + 1 Page 13

14 35 Which of the following represents a function? 37 arley s progress from a 5-kilometer race is displayed in the graph below. A B {( 2, 1), ( 1, 0), (0, 1), (1, 2), (2, 3), (2, 4)} Based on the graph, if arley runs in a 4- kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers? A 50 minutes B 45 minutes 35 minutes D 20 minutes D 36 Which equation represents a proportional relationship between x and y? A B D Page 14

15 38 arley progress from a 5-kilometer race is displayed in the following graph. 39 Which of the following tables can be generated from the equation y = 2x + 1? A B Based on the graph, if arley runs in a 4- kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers? A 50 minutes D B 45 minutes 35 minutes D 20 minutes 40 The table below displays the approximate number of centimeters, y, in x inches. Inches entimeters x y Which equation can be used to determine the number of centimeters, y, in x inches? A x = 2.54y B y = y = 2.54x D y = x Page 15

16 41 What are the rate of change and the y- intercept of the line shown in the graph below? 42 The table shows the total cost of a service from Apex Plumbing for a given number of h service. Number of hours Total cost of service in dollars (h) (c) Determine the slope from the table of data A The slope is 55 representing the trip fe A The rate of change is and the y- intercept is 1. B The rate of change is 1 and the y- B The slope is 15 representing the charge hour. The slope is representing the charg hour. D The slope is 70 representing the total c intercept is. The rate of change is and the y- intercept is -2. D The rate of change is 2 and the y- intercept is 1. Page 16

17 43 The student council is selling roses to collect funds for a charity. The graph below compares the number of roses purchased and total cost. Based on the information in the graph, what is the unit cost per rose? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Page 17

18 44 The graph below shows a dashed line on a coordinate plane. A right triangle is drawn so that its longest side lies on the dashed line. Which of the following right triangles has a slope that would lie on the dashed line shown in the graph above? A B D Page 18

19 45 The coordinates of the vertices of triangle AB are A(3, 6), B(6, 3), and (9, 9). The coordinates of the vertices of triangle A B, which is a dilation of triangle AB, are A (1, 2), B (2, 1), and (3, 3). Which statement about this dilation is true? 46 Triangle AB and its dilation, triangle A'B'', are shown below. A To transform triangle AB to triangle A B, the following translation was performed: left 2 and down 4. B The scale factor from triangle AB to triangle A B is 3 because the x- and y-coordinates of A are (3 1) and (3 2). The scale factor from triangle AB to triangle A B is because the x- and y-coordinates of A are and Which statement about triangle AB and triangle A B is true?. D Not here A The angles of triangle A B will be 1.5 times greater than the angles of triangle AB. B The angles of triangle A B will be of the angles of triangle AB. The side lengths of triangle A B are 1.5 times the side lengths of triangle AB. D The side lengths of triangle A B are of the side lengths of triangle AB. Page 19

20 47 Triangle AB is dilated to form triangle A B as shown below. 49 Robert and Dora need to write 4,300,000,000 using scientific notation. Robert claims that 4,300,000,000 = 4.3 x 10 8 and Dora claims that 4,300,000,000 = 4.3 x Which of the following best describes whose number is correct and the reason it is correct? A Robert s number is correct because when converting 4,300,000,000, the decimal would be located between the 4 and the 3, and the original decimal point in the standard form moves to the left 8 places. Based on the graph, which of the following statements is true? A AB = A B B D 48 Place the numbers in ascending order. 2, 0.85,, 1,, 0.8 B Dora s number is correct because when converting 4,300,000,000, the decimal would be located between the 4 and the 3, and the original decimal point in the standard form moves to the left 9 places. Robert s number is correct because when converting 4,300,000,000, the decimal would be located between the 4 and the 3, and the power of 10 is determined by the number of zeros. D Dora s number is correct because when converting 4,300,000,000, the decimal would be located between the 4 and the 3, and the power of 10 is always the number of zeros plus 1. A 1,, 0.8, 0.85,, 2 B 2, 1,,, 0.85, 0.8 2,, 0.85, 0.8,, 1 D 0.85,, 2, 0.8,, 1 Page 20 BE SURE YOU HAVE REORDED ALL OF YOUR ANSWERS ON YOUR ANSWER DOUMENT STOP