Simplify each expression to lowest terms. 1. 2a - 4b +3ab -5a +2b

2. 4(2x+1) - 3x

3. 4(p - 5) +3(p +1)

4. 6(p +3q) - (7 +4q)

5. 4rs -2s - 3(rs +1) - 2s

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.

Hurry if the population of of an ant hill doubles every 10 days and there are currently 100 ants living in the ant hill what will the ant population be in 20 days

Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem