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NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 5 33 Glencoe Algebra 1

5-5 Word Problem Practice

Inequalities Involving Absolute Value

1. SPEEDOMETERS The government requires

speedometers on cars sold in the United States to be accurate within ±2.5% of the actual speed of the car.

If your speedometer reads 60 miles per hour while

you are driving on a highway, what is the range of possible actual speeds at which your car could be traveling?

2. BAKING Pete is making muffins for a bake sale.

Before he starts baking, he goes online to research different muffin recipes. The recipes that he finds all specify baking temperatures between 350°F and

400°F, inclusive. Write an absolute value inequality to

represent the possible temperatures t called for in the muffin recipes Pete is researching.

3. ARCHERY In an Olympic archery event, the center

of the target is set exactly 130 centimeters off the ground. To get the highest score of ten points, an archer must shoot an arrow no further than 3.05 centimeters from the exact center of the target. a. Write an absolute value inequality to represent the possible distances d from the ground an archer can hit the target and still score ten points. b. Graph the solution set of the inequality you wrote in part a.

4. CATS During a recent visit to the

office, Mrs. Van Allen was informed that a healthy weight for her cat is approximately 10 pounds, plus or minus one pound. Write an absolute value inequality that represents unhealthy weights w for her cat.

5. 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 deviate from the mean. For example, in a recent year the mean score on the mathematics section of the SAT test was 515 and the standard deviation was 114. This means that people within one deviation of the mean have SAT math scores that are no more than 114 points higher or 114 points lower than the mean. a. Write an absolute value inequality to find the range of SAT mathematics test scores within one standard deviation of the mean. b. What is the range of SAT mathematics test scores

±2 standard deviation from the mean?

|w 10| > 1 {x | 58.5 x 61.5} |t 375| 25 |x 515| 114

287 to 743

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