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.

2 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. 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 .

3 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. 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.

4 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. 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.

5 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.

6 Louise will begin filling Aquarium I at a rate of gallons per minute. 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.

7 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). 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.

8 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? 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.

9 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.

10 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. 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 ?