Test Prep: Gridded-Response Questions Strategy: Apply Mathematical Reasoning Name Date Look for relationships in the given text, diagrams, or tables in a question. To solve a gridded-response question, try using the following strategies. • Underline important words. • Restate the question. • Apply appropriate rules, definitions, properties, or strategies. • Analyze your answers. Record your answers on the gridded-response answer sheet. Explain how you used strategies. Show all your work. TIP: Use all the time you are given. 1. What is the next term in the sequence? 2. What is the eighth term in the sequence? ⫺3, 6, ⫺18, 72, ⫺360. . . 48, 24, 12, 6. . . ⴚ3(ⴚ2) ⴝ 6; 6(ⴚ3) ⴝ ⴚ18; ⴚ18(ⴚ4) ⴝ 72 72(ⴚ5) ⴝ ⴚ360; ⴚ360(ⴚ6) ⴝ 2160 48 • 0.5 ⴝ 24; 24 • 0.5 ⴝ 12; r ⴝ 0.5 an ⴝ a1 • rnⴚ1; a8 ⴝ 48(0.5)(8ⴚ1) ⴝ 0.375 2160 Answer: 3. How many dots will make up the fifth figure? 4. Use the function table below. What is f (4.8)? x f(x) 3, 3 ⴙ 4 ⴝ 7, 7 ⴙ 6 ⴝ 13; 13 ⴙ 8 ⴝ 21 Figure 5: 21 ⴙ 10 ⴝ 31 Copyright © by William H. Sadlier, Inc. All rights reserved. Answer: 5. Today, Michelle puts 1 cent in a jug. Tomorrow, she adds 2 cents. On the next day, she adds 3 cents. If she continues this pattern for 10 more days, how many cents will she have? Cents in jar for 13 days 1, 1 ⴙ 2 ⴝ 3; 1 ⴙ 2 ⴙ 3 ⴝ 6; 1 ⴙ 2 ⴙ 3 ⴙ 4 ⴝ 10; 13 days: sum of integers from 1 to 13 or 91 91 cents Answer: 7. Using the table, how many cups of flour are needed for 28 servings? servings 4 cups 2 3 6 8 10 1 1 13 2 13 2 Servings ⴜ 6 ⴝ cups; 28 ⴜ 6 ⴝ 4 3 2 4 cups 3 Answer: 0 0.5 0.1 0.8 0.2 1.1 0.3 1.4 0.8 ⴚ 0.5 ⴝ 0.3; 1.1 ⴚ 0.8 ⴝ 0.3; d ⴝ 0.3 f(x) ⴝ 0.5 ⴙ 0.3(x); f(4.8) ⴝ 0.5 ⴙ 0.3(4.8) ⴝ 1.94 31 Answer: 0.375 Answer: 1.94 6. What is the next term in the sequence? 1 3 4 2 Writing the mixed numbers as 5 , 5 , 1 5 , 5 5 . . . fractions greater than 1, examine the numerators: 1, 3, 9, 27, . . . 27 • 3 81 The next term is: ⴝ 5 5 81 5 Answer: 8. What is the perimeter of the sixth figure in the sequence, if p ⫽ 42 for the first figure? … Side pattern: 4, 6, 8, 10; sixth figure has 14 sides s ⴝ 42 ⴜ 4 ⴝ 10.5; P ⴝ 14(10.5) ⴝ 147 Answer: Test Prep Lesson, page 104. 147 Chapter 4 103