STAAR Grade 8 Mathematics April 2019 Released

1 STAAR .. State of Texas Assessments of Academic Readiness Grade 8. Mathematics Administered April 2019. Released . Copyright 2019, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without express written permission from the Texas Education Agency. ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------- STAAR Grade 8 Mathematics STAAR .. REFERENCE MATERIALS. State of Texas Assessments of Academic Readiness LINEAR EQUATIONS. Slope-intercept form y = mx + b Direct variation y = kx y2 y1. Slope of a line m =. x2 x1. CIRCUMFERENCE. Circle C = 2 r or C = d AREA. Triangle A = 1 bh 2. Rectangle or parallelogram A = bh Trapezoid A = 1 (b1 + b2)h 2. Circle A = r 2. SURFACE AREA. Lateral Total Prism S = Ph S = Ph + 2B. Cylinder S = 2 rh S = 2 rh + 2 r 2. VOLUME. Prism or cylinder V = Bh Pyramid or cone V = 1 Bh 3.

2 Sphere V = 4 r 3. 3. ADDITIONAL INFORMATION. Pythagorean theorem a2 + b 2 = c 2. Simple interest I = P rt Compound interest A = P (1 + r)t ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------------------- Mathematics . Mathematics Page 7. DIRECTIONS. Read each question carefully. For a multiple-choice question, determine the best answer to the question from the four answer choices provided. For a griddable question, determine the best answer to the question. Then fill in the answer on your answer document.

3 1 Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $ Which graph has a slope that best represents the average cost of the lunches in dollars per lunch? Lunch Cost Lunch Cost y y 18 18. Total Cost (dollars). Total Cost (dollars). 16 16. 14 14. 12 12. A 10 C 10. 8 8. 6 6. 4 4. 2 2. x x 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9. Number of School Lunches Number of School Lunches Lunch Cost Lunch Cost y y 18 18. Total Cost (dollars). Total Cost (dollars). 16 16. 14 14. 12 12. B 10 D 10. 8 8. 6 6. 4 4. 2 2. x x 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9. Number of School Lunches Number of School Lunches Mathematics Page 8. 2 A sphere and its dimension are shown in the diagram. 15 in. Which measurement is closest to the volume of the sphere in cubic inches? F 1, G H J 1, Mathematics Page 9. 3 The two lines graphed on the coordinate grid each represent an equation. y 9. 8. ( 2, 6) 7. 6. 5. 4 (3, 5). ( 6, 2) 3. 2. 1. x 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9. 1. 2.

4 3. 4. 5. 6. ( 6, 6) 7. 8. 9. Which ordered pair represents a solution to both equations? A ( 4, 0). B ( 3, 3). C (3, 3). D (0, 4). Mathematics Page 10. 4 Figure I and Figure II are similar figures. Figure I Figure II. R S. A B. F. W C. T. E D. V U. Which proportion must be true? RS TU. F =. AB CD. TU UV. G =. AB AF. ST WR. H =. EF CD. WV ST. J =. AB EF. Mathematics Page 11. 5 Which graph represents y as a function of x? y y 4 4. 3 3. 2 2. 1 1. A C. x x 4 3 2 1 1 2 3 4 4 3 2 1 1 2 3 4. 1 1. 2 2. 3 3. 4 4. y y 4 4. 3 3. 2 2. 1 1. B D. x x 4 3 2 1 1 2 3 4 4 3 2 1 1 2 3 4. 1 1. 2 2. 3 3. 4 4. Mathematics Page 12. 6 A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation? F (x, y ) o ( x, y). G (x, y ) o (x 7, y 7). 5 5. H (x, y ) o ( x, y). 4 4. J (x, y ) o ( , ). Mathematics Page 13. 7 Aquarium I contains gallons of water. Louise will begin filling Aquarium I at a rate of gallons per minute.

5 Aquarium II contains gallons of water. Isaac will begin draining Aquarium II at a rate of gallon per minute. After how many minutes will both aquariums contain the same amount of water? A 148 min B 125 min C 25 min D 50 min 8 The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet? F 9 ft G 17 ft H ft J ft Mathematics Page 14. 9 Triangle PSV is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers. y 6. 5. P S. 4. 3. 2. 1. V. x 0 1 2 3 4 5 6. What is the slope of PV ? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Mathematics Page 15. 10 Triangle ABC was transformed to create triangle A B C . y 7. A. 6. 5. 4. 3. 2. 1 B C. x 7 6 5 4 3 2 1 1 2 3 4 5 6 7. 1. A . 2. 3. 4. 5. 6. B C . 7. Which rule best describes this transformation? F (x, y) o (x, y 7). G (x, y ) o (x, y). H (x, y ) o (x 7, y).

6 J (x, y) o ( . x, y ). 11 Two customers took out loans from a bank. Henry took out a 4-year loan for $5,000 and paid annual simple interest. Ingrid took out a 6-year loan for $5,000 and paid annual simple interest. What is the difference between the amounts of interest Henry and Ingrid paid for their loans? A $417. B $150. C $60. D $330. Mathematics Page 16. 12 A coach is ordering shirts for a team. The coach pays a one-time fee of $24. The coach also pays $8 for each shirt ordered. Which function can be used to find c, the total amount the coach pays in dollars when k shirts are ordered? F c = 8k + 32. G c = 8k + 24. H c = 32k + 8. J c = 24k + 8. Mathematics Page 17. 13 Which scatterplot does NOT suggest a linear relationship between x and y? y y 9 9. 8 8. 7 7. 6 6. A 5 C 5. 4 4. 3 3. 2 2. 1 1. x x 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9. y y 9 9. 8 8. 7 7. 6 6. B 5 D 5. 4 4. 3 3. 2 2. 1 1. x x 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9. Mathematics Page 18. 14 What value of x makes this equation true?

7 12x 15 = 6 3x 7. F. 3. 3. G. 7. 5. H. 7. 7. J. 5. 15 A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is meters, and the height of the silo is 12 meters. m 12 m Which equation can be used to find V, the volume of this silo in cubic meters? A V = S( )2 (12). B V = S( )2 (12). C V = S(12)2 ( ). D V = S(6)2 ( ). Mathematics Page 19. 16 The scatterplot shows the energy in watts and the light output in lumens per watt of several lightbulbs. Lightbulbs y 80. 75. Light Output (lumens per watt). 70. 65. 60. 55. 50. 45. 40. x 0 20 40 60 80 100 120. Energy (watts). Which statement best describes the association between the energy and light output of these lightbulbs? F As the energy increases, the light output increases. G As the energy increases, the light output decreases. H As the energy increases, the light output remains the same. J There is no apparent association between the energy and light output. Mathematics Page 20. 17 The table shows the completion times of four runners in a race.

8 Race Times Runner Time (seconds). 1. Joe 12. 2. Ellen 2. Steve 12. 5. Patty Which list shows the runners in order by their completion times from fastest to slowest? A Patty, Joe, Steve, Ellen B Ellen, Joe, Steve, Patty C Ellen, Steve, Joe, Patty D Patty, Steve, Joe, Ellen Mathematics Page 21. 18 Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the vertices are integers. y H 11. 10. 9. 8. 7. 6. 5. M. J K 4. 3. 2. 1. P x 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. Which statement is true about the slope of HK and the slope of PK ? F The slope of HK is less than the slope of PK , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for HK than it is for PK . G The slope of HK is equal to the slope of PK , because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for HK as it is for PK . H The slope of HK is greater than the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for HK than it is for PK.

9 J The relationship between the slope of HK and the slope of PK cannot be determined, because the triangles are congruent. Mathematics Page 22. 19 The diagram shows three squares that are joined at vertices to form a right triangle. Square K. Square N. Square L. Which statement is true? A The sum of the areas of Square N and Square L is equal to the area of Square K. B The sum of the areas of Square N and Square L is greater than the area of Square K. C The sum of the areas of Square N and Square K is equal to the area of Square L. D The sum of the areas of Square N and Square K is less than the area of Square L. Mathematics Page 23. 20 A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best represents the ratio of orange juice to pineapple juice in this bottle? Juice Juice Orange Juice (fl oz) y y Orange Juice (fl oz). 20 20. Amount of Amount of 16 16. 12 12. F H. 8 8. 4 4. x x 0 2 4 6 8 10 0 2 4 6 8 10. Amount of Amount of Pineapple Juice (fl oz) Pineapple Juice (fl oz).

10 Juice Juice y y Orange Juice (fl oz). Orange Juice (fl oz). 20 20. Amount of 16 Amount of 16. 12 12. G J. 8 8. 4 4. x x 0 2 4 6 8 10 0 2 4 6 8 10. Amount of Amount of Pineapple Juice (fl oz) Pineapple Juice (fl oz). Mathematics Page 24. 21 Students recorded the total number of pages and chapters in each of several books on the scatterplot. Books y 280. 260. 240. Total Number of Pages 220. 200. 180. 160. 140. 120. 100. 80. 60. 40. 20. x 0 1 2 3 4 5 6 7 8 9 10. Total Number of Chapters Based on the scatterplot, which is the best prediction of the total number of pages in a book with 4 chapters? A 150 pages B 140 pages C 90 pages D 120 pages Mathematics Page 25. 3. 22 Quadrilateral KMPT is dilated by a scale factor of to create quadrilateral K M P T . The 4. perimeter of quadrilateral KMPT is x units. What is the perimeter in units of quadrilateral K M P T ? F x units 3. G x units 4. 2. 3 . H x units 4 . 4. J x units 3. 23 Mr. Jenkins deposited $1,250 into an account. He made no additional deposits or withdrawals.