Writing Inequalities

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

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

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

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

• 3p + 5.50 ≤ 10

• 3p + 5.50 < 10

• 3p + 5.50 > 10

• 3p + 5.50 ≥ 10

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

• 3.50 + 1.75t > 20
• 1.75 + 3.50t ≤ 20
• 3.50 + 1.75t ≥ 20
• 1.75t + 3.50 ≤ 20

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, which inequality can be used to determine how far she can travel?

• 0.65m + 1.75 > 10

• 0.65m + 1.75 ≥ 10

• 0.65m + 1.75 < 10

• 0.65m + 1.75 ≤ 10

Allison wants to practice her violin for at least 12 hours per week. She practices 0.75 hours each session. If Allison has already practiced 3 hours this week, which inequality can be used to determine how many more sessions she will need to meet or exceed her goal?

• 0.75h + 3 < 12

• 0.75h + 3 ≤ 12

• 0.75h + 3 > 12

• 0.75h + 3 ≥ 12

Pet Supplies makes a profit of $5.50 per bag for its dog food. If the store wants to make a profit of no less than $5,250, how many bags of dog food does it need to sell?

• 5.50b > 5,250

• 5.50b ≥ 5,250

• 5.50b < 5,250

• 5.50b ≤ 5,250

Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, which inequality can be used to determine the greatest number of rides Daniel can go on?

• 1.50x + 4 ≤ 25

• 1.50x + 4 < 25

• 1.50x + 4 ≥ 25

• 1.50x + 4 > 25

The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going to use. If they charge $15 for each ticket, which inequality can be used to show how many tickets they need to sell in order to raise at least $1000?

• 15t + 700 > 100

• 15t + 700 ≥ 100

• 15t + 700 < 100

• 15t + 700 ≤ 100