Writing Inequalities Quiz

Which situation can be represented by this inequality? 120 ≤ 12k + 29

• Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

• Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

• Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?

• Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?

Which situation can be represented by this inequality? 1.25x - 6.50 > 50

• Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?

• Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?

• Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?

• Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?

At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality? 5x < 3x + 2

• The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.

• The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is $2 greater than the price of 3 notebooks.

A student rode a bicycle fewer than 30 miles during a period of 5 days. The student rode 8 miles on Monday and m miles each day from Tuesday through Friday. Which inequality represents all possible values of m?

• 8 + 4m < 30

• 8 + 4m > 30

• 8 - 4m > 30

• 8 - 4m < 30

A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a total of $386. Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?

• 5p + 75 ≤ 386

• 5p + 75 ≥ 386

• 75p + 5 ≤ 386

• 75p + 5 ≥ 386

The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the truck. Which inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck?

• 50x + 400 ≤ 1,600

• 50x + 400 ≥ 1,600

• 400x + 50 ≤ 1,600

• 400x + 50 ≥ 1,600

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• 3h - 2 ≤ 14

• 3h + 2 ≤ 14

• 3h - 2 ≥ 14

• 3h + 2 ≥ 14

Lawrence’s father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?

• 200w + 25 < 750

• 25w + 200 < 750

• 200w + 25 > 750

• 25w + 200 > 750

A tank starts off containing 1,060 gallons of water, and 35 gallons of water leaks from the tank every hour. At the same time, an empty pool is filled with water at a rate of 480 gallons per hour. Which inequality represents all possible values for x, the number of hours that have passed when the tank contains less water than the pool?

• 1,060 + 35x < 480x

• 1,060 - 35x > 480x

• 1,060 - 35x < 480x

• 1,060 + 35x < 480x

Rectangle ABCD is shown with the dimensions given in units. The length of AB is greater than the length of AD. Which inequality represents this situation?

• 9x - 16 < 1.5x + 42

• 9x - 16 > 1.5x + 42

• 10.5x < 26

• 10.5x > 26