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NAME DATE 2-5 PERIOD Word Problem Practice Solving Equations Involving Absolute Value 1. ENGINEERING Tolerance in engineering is an allowance made for imperfections in a manufactured object. The manufacturer of an oven specifies a temperature tolerance of ±15ºF. This means that the temperature inside the oven will be within 15ºF of the temperature that it is set on. Write an absolute value expression to represent the maximum and minimum temperatures inside the oven when the thermostat is set on 400ºF. t - 400 = 15 The Next Frontier for Flight Finding new resources for Earth Flying faster from one continent to another Exploring other planets in our solar system for signs of life 21% {-7, 3} 4. STATISTICS The most familiar statistical measure is the arithmetic mean, or average. A second important statistical measure is the standard deviation, which is a measure of how far the individual scores are from the mean. For example, the mean score on the Wechsler IQ test is 100 and the standard deviation is 15. This means that people within one deviation of the mean have IQ scores that are 15 points higher or lower than the mean. a. Write an absolute value equation to find the maximum and minimum test scores within one standard deviation if the mean was 80 and the standard deviation was 12. t - 80 = 12 43% 10% Scientific experiments in space b. What is the range of Wechsler IQ test scores ±3 standard deviations from the mean? 26% 55 to 145 Source: The World Almanac between 7,200,000 and 9,600,000 C06-03A-873949 Chapter 2 34 Glencoe Algebra 1 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 2. AVIATION The circle graph shows the results of a survey that asked 4300 students ages 7 to 18 what they thought would be the most important benefit of air travel in the future. There are about 40 million students in the United States. If the margin of error is ±3%, what is the range of the number of students ages 7 to 18 who would likely say that “finding new resources for Earth” is the most important benefit of future flight? 3. COLLEGE A certain scholarship and student loan fund uses a formula to determine whether or not a student qualifies for college funding. The formula is 3k + 6 = 15, where k is a need score determined by an interview. What are the possible need scores?