Which strategies can be used to solve this problem? kathleen invited 28 people to her party. she plans to seat 8 people at the dining room table. she will put the rest at round tables with 4 people at each table. what is the fewest number of round tables that kathleen needs so that each guest will have a seat? choose all answers that are correct. a. draw a diagram. eight people at 1 table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table. count the number of round tables. b. use logical reasoning. start with 28 people, subtract 8 people who will sit at the dining room table, that leaves 20 people. keep subtracting 4 people until you get to 0. count how many times you subtracted 4 people. c. translate into an equation. 28 – 8 + 4 + 4 = t d. work backward. there are 28 people coming to the party. there is one dining table, so subtract 1. now figure out how many round tables there are and subtract that number.

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Which elements in the set below are integers? 12, –3⁄4,√ 25 , –7, √ 5 , 14⁄7, 9 a. 12, √ 25 , –7, 9 b. 12, √ 25 , –7, 14⁄7, 9 c. –3⁄4, 25 , √ 5 ,14⁄7 d. 12, –7, 9

Alonso walked with his friend andy one day, and wanted to compare their speeds. alonso walked 3 miles in one hour, and andy walked 2 miles in 2 hours. complete the table to graph the relationship for each person.