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Extra resources for Algebra 2, Student Edition
Example text
49. CHILD CARE By Ohio law, when children are napping, the number of children per childcare staff member may be as many as twice the maximum listed at the right. Write and solve an inequality to determine how many staff members are required to be present in a room where 17 children are napping and the youngest child is 18 months old. EXTRA PRACTICE See pages 892, 926. T. Problems Maximum Number of Children Per Child Care Staff Member At least one child care staff member caring for: Every 5 infants less than 12 months old (or 2 for every 12) Every 6 infants who are at least 12 months old, but less than 18 months old Every 7 toddlers who are at least 18 months old, but less than 30 months old Every 8 toddlers who are at least 30 months old, but less than 3 years old Source: Ohio Department of Job and Family Services TEST GRADES For Exercises 50 and 51, use the following information.
4y + 7 > 31 n-4 7. n ≤ _ 5 3z + 6 8. _ < z 11 9. SCHOOL The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need on the final exam to have a final grade of at least 80? Solve each inequality. Then graph the solution set on a number line. 10. n + 4 ≥ -7 11. b - 3 ≤ 15 12. 5x < 35 d > -4 13. _ g 14. _ ≥ -9 15. -8p ≥ 24 16. 13 - 4k ≤ 27 17.
C 51. Use the formula c = √2s2 to calculate the length of the hypotenuse c, or longest side, of this right triangle using 1 unit s, the length of one leg. 52. Explain why Pythagoras could not find a “number” for the value of c. 1 unit Name the sets of numbers to which each number belongs. 53. 0 3π 54. _ 2 55. -2 √7 56. Name the sets of numbers to which all of the following numbers belong. Then arrange the numbers in order from least to greatest. T. Problems OPEN ENDED Give an example of a number that satisfies each condition.