Inequality and Equation Word Problems

Which situation can be represented by this inequality?

• Stefan spends $6.50 on supplies for 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 week 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?

Jim paid a gym membership fee of $50,plus $20 per month. Jim has paid a total of $290 to the gym. What equation can be used to find how many months has Jim been a member of the gym?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Tags

7.10.A

Which situation is best represented by the following equation? 45w + 123.95 = 753.95

• Erica paid $753.95 for dance classes. She paid $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 1 1/2 cups of sugar. What is the maximum number of cookie batches he can make? Write the inequality to the problem.

• 1.5x - 2 ≥ 10

• 1.5x - 2 ≤ 10

• 2x - 1.5 ≥ 10

• 2x - 1.5 ≤ 10

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. Which inequality could help you find how many dogs Katie would have to walk to reach her goal?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x < 200

1. Tickets to the zoo cost $15 for adults and $11 for children. The school has a budget of $1500 for the field trip. An equation representing the budget for the trip is 15x+11y=1500.

2. If there are 120 students who need tickets, what is the maximum number of adults who can go to the zoo while staying within the school budget?

Mathematical Equivalence

ON

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

16 - 4a > 8

• a<-2

• a>-2

• a<2

• a>2

A computer printer can print 10 pages per minute.There were already 35 pages in the tray. The total pages printed was 115 pages. Write an equation for the number of pages the printer can print in m minutes.

• 10m + 35 = 115

• 10m - 35 = 115

• 115m + 35 = 10

• 35m + 10 = 115

Tags

7.10.A

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Tags

7.10.A