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T. Problems 48. OPEN ENDED Write an absolute value equation and graph the solution set. CHALLENGE For Exercises 49–51, determine whether each statement is sometimes, always, or never true. Explain your reasoning. 49. If a and b are real numbers, then a + b = a + b. 50. If a, b, and c are real numbers, then ca + b = ca + cb. 51. For all real numbers a and b, a ≠ 0, the equation ax + b = 0 will have exactly one solution. 52. Writing in Math Use the information on page 27 to explain how an absolute value equation can describe the magnitude of an earthquake.

ACT/SAT The following are the dimensions of four rectangles. Which rectangle has the same area as the triangle at the right? 10 ft 4 ft 41. REVIEW How many cubes that are 3 inches on each edge can be placed completely inside a box that is 9 inches long, 6 inches wide, and 27 inches tall? 4 ft by 50 ft G 36 J 72 PREREQUISITE SKILL Evaluate each expression. 42. √9 43. √16 44. √100 46. - √4 47. - √25 48. 10 Chapter 1 Equations and Inequalities √_49 45. √169 49. 36 √_ 49 1-2 Properties of Real Numbers Main Ideas • Classify real numbers.

CHECK Substitute each value in the original equation. x + 6 = 3x - 2 4 + 6 3(4) - 2 10 12 - 2 10 = 10 ✔ x + 6 = 3x - 2 -1 + 6 3(-1) - 2 5 -3 - 2 5 = -5 Since 5 ≠ -5, the only solution is 4. Thus, the solution set is {4}. Solve each equation. Check your solutions. 4A. 2x + 1 - x = 3x - 4 4B. com Example 1 (p. 27) Example 2 (p. 28) Examples 2–4 (pp. 5. 1. a + 12 2. -6b 3. 2 FOOD For Exercises 4–6, use the following information. Most meat thermometers are accurate to within plus or minus 2°F.

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