Equations and Inequalities

Mrs. Dawson's twenty-five member dance class is raising funds to participate in a local dance competition. They plan to raise at least $1300 to cover the cost of entry fees. The class has currently raised $550.

If each dance member raises an equal amount of money, which of the following can be used to determine, a, the amount of money each team member could raise to meet the goal?

A new office building is opening downtown. The largest office space available to rent is 2000 square feet. A company with 6 employees rents space in the building. Each employee will have an equivalent amount of office space, and there will be a 350 square foot lounge space.

Which of the following can be used to determine, s, the number of square feet of office space each employee could receive?

• The temperature begins at 12 degrees below zero and falls five degrees each hour to reach thirty-two degrees.  How many hours did it take the temperature to reach thirty-two degrees?

• The temperature begins at 12 degrees below zero and rises five degrees each hour to reach thirty-two degrees.  How many hours did it take the temperature to reach thirty-two degrees?

• The temperature begins at 5 degrees and falls 12 degrees each hour to reach thirty-two degrees.  How many hours did it take the temperature to reach thirty-two degrees?

• The temperature begins at 5 degrees and rises 12 degrees each hour to reach thirty-two degrees.  How many hours did it take the temperature to reach thirty-two degrees?

• Malina earns $9.25 per hour babysitting.  She needs $85 to attend a concert.  If she spends at most $120 on clothes at the mall, how many hours must Malina work to be able to afford the concert?

• Malina babysits for 9.25 hours.  She needs a maximum of $85 to attend a concert.  If she spends $120 on clothes at the mall, how much money must Malina earn per hour to be able to afford the concert?

• Malina earns $9.25 per hour babysitting.  She needs a minimum of $85 to attend a concert.  If she spends $120 on clothes at the mall, how many hours must Malina work to be able to afford the concert?

• Malina babysits 9.25 hours.  She needs more than $85 to attend a concert.  If she spends $120 on clothes at the mall, how much money must Malina earn per hour to be able to afford the concert?

Avery need a total of $12.75 in quarters at the laundromat. She has already saved $3.25. Which equation and solution process can be use to determine, q, the number of additional quarters Avery needs to wash her laundry?

Which best represents the inequality and solution to the sentence below?

The quotient of a number and -4 decreased by 5 is at most 15.

Serenity is four years younger than twice her brother's age. Serenity is 18 years old. Which model and solution best represents, x, the age of Serenity's brother?

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• 2.0 lbs

• 2.4 lbs

• 2.6 lbs

• 2.8 lbs

• 12.5 months

• 10 months

• 4.5 months

• 4 months

• 13

• 12

• 11

• 10