Equations and Inequalities Real World

The greatest weight a truck can carry is 1,600 pounds. The truck is loaded with a piano that weight 400 pounds and other boxes that weight 50 pounds each. Which inequality represents all possible values of x , the number of boxes that can be loaded into the truck?

• 50x + 400 ≤ 1,600

• 50x + 400 ≥ 1,600

• 400x + 50 ≤ 1,600

• 400x + 50 ≥ 1,600

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

• 3h - 2 ≤ 14

• 3h + 2 ≤ 14

• 3h - 2 ≥ 14

• 3h + 2 ≥ 14

Which situation can be represented by this inequality?

• Stefen 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 he must sell to earn a profit of more than $50?

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

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

• Stefen 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 in order to earn more than $50?

Which inequality symbol mean less than or fewer than?

• ≤

• <

• >

• ≥

• 5

• 6

• 5.5

• 6.25

Sierra has a bucket that originally contained 340 oz of water and is filling at a rate of 5 fl oz per minute.  Brian has a bucket that originally contained 650 oz of water that is being drained at a rate of 8 fl oz per minute.  What is x, the number of minutes that need to pass for the two buckets to contain the same amount of water?

​ (a)   X ​ (b)   ​ (c)   ​ (d)   X ​ (e)  

< or > or =

• +340

• >

• 5

• +650

• <

• -340

• 8

• -8

• -650

• =

When at a conference, Mr. Gary rented a car for a fee of $62.50 plus $0.12 per mile he drives. What is the most miles Mr. Gary can drive without spending more than $320?

A hang glider, 25 meters above the ground, starts to descend at a constant rate of 2 meters per second.  Which equation shows the height h after t seconds?

• h = 25t + 2t

• h = -25t + 2

• h = 2t + 25

• h = -2t + 25

When at a conference, Mr. Gary rented a car for a fee of $62.50 plus $0.12 per mile he drives. What is the most miles Mr. Gary can drive without spending more than $320?

A car rental agency charges $140 per week plus $0.25 per mile. If Joe has $300 saved to rent a car for a week, how many miles can he drive?

Mathematical Equivalence

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