Writing and Solving Inequalities

Winston needs AT LEAST 80 signatures before he can run for class president. He has 23 signatures already. HE AND TWO of his friends plan to get the remaining signatures during lunch.

If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?

Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which inequality could be used to find the distance x, in kilometers, that Yolanda could walk on Sunday to reach her goal?

Addison wants to ride her bicycle more than 80 miles this week. She has already ridden her bicycle 18 miles. This is shown by the inequality 6m + 18 >80 . Select the two answers below that could represent the number of miles, m, she could need to ride her bicycle each day for six more days to achieve her goal?

A trailer will be used to transport several 40-kilogram crates to a store. The greatest amount of weight that can be loaded onto the trailer is 1,050 kilograms. An 82-kilogram crate has already been loaded onto the trailer. Select the inequality below that could be used to find k, the greatest number of 40-kilogram crates that can also be loaded onto the trailer.

Miles joined an art class that charges $125 for the cost of supplies, plus $25 per class. Miles wants to spend no more than $500 on art classes. Which inequality can be solved to find the number of classes Henry can take? 

A frozen yogurt shop charges $1.50 for a cone plus $0.35 for each scoop of frozen yogurt. Rose has at most $2.90 for her frozen yogurt. Which inequality could she use to determine the maximum number of scoops she can have?

 $1.50+0.35x\le2.90$  A frozen yogurt shop charges $1.50 for a cone plus $0.35 for each scoop of frozen yogurt. Rose has at most $2.90 for her frozen yogurt. This is shown by the inequality What is the maximum number of scoops Rose could have?

(a)  

 $2x-6\le1.25$  Which graph represents the solution of the inequality:

An animal shelter relies on donations and adoption fees of $75 per pet to pay its monthly expenses of $2800. One month 12 pets are adopted. Which inequality describes the donations, x, the shelter needs to receive to stay open that month?

 Solve:

 $-6.5m+14.3<-22.75$