asolution? inequality. t< -2 Graph on a number line. Choose the graph that represents the inequality.

Transcription

1 I 1. inequality. asolution? 0 Yes Graph on a number line. t< -2 Choose the graph that represents the inequality. OD Graph on a number line, where x is a real number. Choose the graph of - I < x 5 5.

2 C 4. Solve. Then graph. The solution set is x+8>2 {x I x >n,. Which of the following is the graph of the solution set? 5. Solve. Then graph. The solution is {a I a i 0). Which of the following is the graph of the solution? Solve using the addition principle. The solution set is {x I x i ). Page 2

3 Solve using the multiplication principle. Choose the correct solution set " Solve using the multiplication principle. Choose the correct answer below. Page 3

4 9. Solve using the multiplication principle. Give the answer in set-builder notation. Choose the correct answer below. OD. {XbS $1 Solve using the addition and multiplication principles. The solution is {X 1 x Solve using the addition and multiplication principles. The solution set is { x 1 x > 0). 12. Solve using the addition and multiplication Thesolution is { x I x 5 0). principles. (Simplify your answer. ) 13. Solve. The solution set is ( x I x < q 1. 3(2x-3) < Solve. The solution set is { x I x 2 ).

5 15. Solve. Use set-builder notation to describe the complete solution. (Simplify your answer. Type an inequality symbol; then type an improper fiaction.) Translate to an inequality. A number is at least 9. he answer is (Use x as the variable.) r]. 17. Translate to an inequality. Use the variable x. The number of people in the chess club is less than or equal to 17. The answer is Translate to an inequality The average speed, s, was between 1 10 and 120 mph. Translation: 1 10 U s ( Translate to an inequality. Use the variable x t The price of a baseball glove is at most $ The answer is n rl$n. 20. Translate to an inequality. Use the variable x. The price of an amusement park ticket is greater than or equal to $20. The inequality is rl rl~n. (SimplifL your answer. Put the variable on the left side of the inequality.) Page 5

6 21. Translate to an inequality. Use the variable x. My salary next year will be at least $ Choose the correct inequality. OA. x < $45000 Oc. x r $45000 OD. $ x 22. You are taking a science course in which there will be four tests, each worth 100 points. You have scores of 99,94, and 89 on the first three tests. You must make a total of 360 in order to get an A. What scores on the last test will give you an A? The solution is {s I s 2 I. (Simplifjr your answer. Type an integer or a decimal.) 23. A metal stays solid at Fahrenheit temperatures below O. Determine (in terms of an inequality) 9 those Celsius temperatures for which the metal stays solid. Use the formula F = -C The solution set is {CIC < n o). (Round to the nearest tenth.) 24. The formula R = t can be used to predict the world record in the 1500 meter run, t years after Determine an inequality that identifies the years in which the world record will be less than 3.7 minutes. Solve for t. (Round to the nearest whole number.) This translates to { Y I Y > ). 25. A car rents for $35 per day plus 206 per mile. You are on a daily budget of $89. What mileage will allow you to stay within your budget? The solution is {m ( rn i 1. Page 6

7 K JV 26. Miranda's financial aid stipulates that her tuition not exceed $ If her college charges a $45 registration fee plus $350 per course, what is the greatest number of courses for which Miranda can register? II 'I Miranda can register for at most courses. (Your answer should be a whole number.) 27. The width of a rectangle is fixed at 27 cm. What lengths will make the perimeter greater than 100 cm? The length must be greater than ncm. 28. A reduced fat cookie contains 3g of fat per serving. In order for food to be termed 'reduced fat', it must have at least 10% less fat than the regular item. What can you conclude about how much fat is in a serving of the regular cookie? How much fat does a serving of regular cookies contain? OA. less than 3.3 g of fat OB. morethan3.3 goffat OC. at least 3.3 g of fat OD. at least 30 g of fat 29. A certain kind of animal weighs about 7 1 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine those days for which the animal's weight is more than 1 17 pounds. The animal's weight is more than 1 17 pounds when the animal is more! than days old. 30. Joe's Electric made 19 customer calls last week and 24 calls this week. How many calls must be made next week in order to maintain an average of at least 19 calls for the three week period? At least calls must be made to maintain an average of 19 calls.