Solve Real World Inequalities

Write then inequality that could be used to solve the following real world problem. Marco has 36 cards. He was given more for his birthday. If Marco now has at least 127 cards, write an inequality to find b, all possible numbers of cards he was given for his birthday

Mathematical Equivalence

ON

Write an inequality that could be used to solve the following real-world problem: Use x as the variable in this problem. Julia and her friends went out to dinner. The total bill for dinner was $98.15. If each person paid more than $22.35, write an inequality to find all possible values of x, the number of people that split the bill for dinner.

Mathematical Equivalence

ON

Write an inequality that could be used to solve the following real-world problem: Steve bought 3 pounds of apples and spent no more than $2.55. The inequality to find x, all possible values of the cost per pound of apples, is _____

Mathematical Equivalence

ON

Use x for the variable when entering your answer. Deandra had a $100 gift card. After she bought several items, she had less than $14.88 left on the gift card. Write an inequality to find x, all possible values of the amount that Deandra spent using her gift card: _____

Mathematical Equivalence

ON

Select the real-world situation that could be used to represent the inequality 7.5 + x ≥ 15.

• Eli has a goal of running at least 15 miles. He has already run 7.5 miles. What is x, the number of miles Eli has left to run to meet or exceed his goal?

• Eli has $15 to spend at the fair. He spent $7.50 for admission. What is x, all possible values for the amount in dollars Eli has left to spend?

Select the real-world situation that could be used to represent the inequality 12y < 250.

• Darren earns $12 an hour for tutoring. How many hours, y, does he need to tutor to earn more than $250?

• King Crab legs cost $12 per pound. How many pounds of King Crab legs can Darren buy if he will spend less than $250?

Which situation is best represented by the inequality x/12 ≥ 7?

• Emily divided x crayon into 12 boxes, and there were at most 7 crayons in each box.

• Emily separated x books on 12 shelves, and there were more than 7 books on each shelf.

• Emily poured x ounces of milk into 12 cups and each cup had no less than 7 ounces of milk.

• Emily shared x cookies among 12 people, and each person received less than 7 cookies.

• Charlie's mom told him for every 2 hours he spends doing chores she will give him $7. Let s represent the amount of money Charlie can make working at least 14 hours a week on chores.

• Charlie wanted to buy a shirt and only had $14. Let s represent the cost of the shirt.

• The veterinarian told Charlie in order for his dog Skittles to maintain a healthy weight he should never weigh over 14 pounds. Let s represent Skittles' healthy weight in pounds.

• Charlie is 14 years old and knows that his friend Samantha is either the same age or younger than he is. Let s represent Samantha's age.

Dan said he has more baseball cards than Tom even if Tom doubles the amount of baseball cards he has now. If Dan has 380 baseball cards, which inequality would correspond with this situation?

• 380 > 2t

• t + 2 > 380

• 2t > 380

• 380 > t + 2

Guy and her brother are both working part-time jobs. Her brother told her he has worked 35 hours this week. Guy told her brother that he has worked more than three times as many hours as she has this week. Which of the following inequalities would correspond with this problem?

• c + 3 < 35

• 3c > 35

• c + 3 > 35

• 3c < 35