Inequality and Equations Word Problems

Victoria is running a fundraising campaign for the local community center. Her goal is to raise more than $5,500. If the campaign has already raised $2,324, which of the following inequalities can be solved to find x, the amount of money that still needs to be raised for Victoria to meet her goal?

• x−2,324>5,500

• 2,324+x>5,500

• x−2,324<5,500

• 2,324+x<5,500

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. What is the greatest amount of pens can Ann buy?

• 3

• 2.7

• 2

• 1.15

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ -3

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500

• 500 + 25x ≥ 200

• 500 - 25x ≥ 200

• 500 - 25x ≤ 200

Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.

• 60≥22x-8

• 22-8x≥60

• 22x+8≤60

• 22+8x≤60

Joe earns $25 per yard he mows in the summer.  If he also makes a one time amount of $100 for babysitting his brother, write an equation that can be used to determine the number of yards (y) he will need to mow to go to Italy for $3,100.  

• 25y - 100 = 3,100

• 3,100 - 100 = 25y

• 25y + 100 = 3,100

• 100y + 25 = 3,100

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents the number of tickets (t) that can be purchased if Penelope plans to spend $35.

• .50t + 20 = 35

• .50t = 35

• .50 + 20t = 35 

• .50t +35 = 20

An electrician charges $90 per hour along with a $60 traveling fee.  If your bill was $600, write an equation that can be used to determine how many hours (h) it took the electrician to complete the job.

• 60 - 90h=600

• 90h + 60 = 600

• 60h + 90 = 600

• 60h - 600 = 90

Which situation can be represented by the equation
40x + 20 = 200?

• Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

• Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

• Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

• Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?