43 Linear Equations and Inequalities in One Variable 1 CHAPTER OUTLINE 1.1 Linear Equations in One Variable 44 Problem Recognition Exercises: Equations Versus Expressions 56 1.2 Applications of Linear Equations in One Variable 57 1.3 Applications to Geometry and Literal Equations 68 1.4 Linear Inequalities in One Variable 76 1.5 Compound Inequalities 85 1.6 Absolute Value Equations 97 1.7 Absolute Value Inequalities 103 Problem Recognition Exercises: Identifying Equations and Inequalities 113 Group Activity: Understanding the Symbolism of Mathematics 114 Chapter 1 In this chapter, we study linear equations and inequalities and their applications. Are You Prepared? To prepare yourself, try the crossword puzzle. The clues in the puzzle review formulas from geometry and other important mathematical facts that you will encounter in this chapter as you work through the application problems. Across 2. What is the next consecutive integer after 1306? 4. Given that distance rate time, what is the distance between Atlanta and Los Angeles if it takes 33 hr, traveling 60 mph? 5 6. What is the next consecutive odd integer after 7803? 7. What is 10% of 64,780? 9. If an angle measures 41, what is the complement? 10. If an angle measures 70, what is the supplement? Down 1. What is 40% of 32,640? 2. What is the sum of the measures of the angles in a triangle? 3. Evaluate 07729 262 0 . 4. What number is 50 more than twice 8707? 5. If the area of a rectangle is 6370 ft2, and the width is 65 ft, what is the length? 8. What is the amount of simple interest earned on $4000 at 5% interest for 4 yr? 1 2 4 6 7 8 9 10 3
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