Writing Inequalities from Word Problems

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, how far could she travel?

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

• 1.75 + 0.65m ≤ 10

• 1.75 + 0.65m ≥ 10

Tags

CCSS.7.EE.B.4B

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

• 4r + 1.50 < 25

• 4r + 1.50 ≤ 25

• 4 + 1.50r ≥ 25

Tags

CCSS.7.EE.B.4B

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, how many tickets do they need to sell in order to raise at least $1000? Write an inequality to represent the situation.

• 15t + 700 > 1000

• 15t + 700 < 1000

• 15t + 700 ≥ 100

• 15t - 700 ≤ 100

Tags

CCSS.7.EE.B.4B

SkateLand charges a flat rental rate of $50 for a party and $5 for each person. Cindy has no more than $100 to spend on her party. Write an inequality to represent her situation and determine how many people she can invite to her party.

• p < 10

• p > 10

• p ≤ 10

• p ≥ 10

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 $680. Write and solve an inequality that represents the amount of hours the DJ will play at the dance.

• h > 5

• h < 5

• h ≥ 5

• h ≤ 5

At the end of the day, vegetables at the farmer’s market sell for $3 a pound, and the basket costs an additional $5. If Carol wants to buy a basket and spend no more than $20 total, how many pounds of vegetables can she buy? Write an inequality to justify your answer.

• p > 5

• p < 5

• p ≥ 5

• p ≤ 5

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 $14, how many (maximum #) tacos can they buy? Write an inequality to determine how many tacos they can buy.

• t < 6

• t > 6

• t ≤ 6

• t ≥ 6

Timothy has an account balance of $50. He deposits $30 after work every day. How many days will he need to deposit $30 before he has at least $500. Write an inequality to represent the situation and find the number of days he will have to save.

• d > 15

• d < 15

• d ≥ 15

• d ≤ 15

Tina's hair is 7 inches long. Her hair grows 0.5 inches a month. How many months will Tina grow her hair before it is more than 20 inches long? Write an inequality to solve.

• m > 26

• m < 26

• m ≥ 26

• m ≤ 26

At the lake, Chris can rent a rowboat for $40 plus $15 per hour. How many hours can Chris rent a rowboat if he has less than $100? Write an inequality to solve.

• m > 4

• m < 4

• m ≥ 4

• m ≤ 4

Tags

CCSS.6.EE.B.8