Inequalities with Two Variable Word Problems

Grace has $45 at most in her purse.

• g<45

• g>45

• g≤45

• g≥45

A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a total of $386. Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?

• 5p + 75 ≤ 386

• 5p + 75 ≥ 386

• 75p + 5 ≥ 386

• 75p + 5 ≤ 386

Tags

7.10.A

Kathy works at a warehouse packing boxes. Her job is to place p items that each weigh 2 kg into a wooden box that weighs 1 kg. Kathy can lift a weight of up to 10 kg.

Which inequality represents the number of items Kathy can place in each box and still be able to lift the box?

• p + 2 ≥ 10

• p + 2 ≤ 10

• 2p + 1 ≥ 10

• 2p + 1 ≤ 10

Tags

7.10.A

Nathaniel runs in a charity race where $2.50 is donated for each kilometer he runs. Each runner of the race starts with a $10 donation regardless of the number of kilometers run. Nathaniel wishes to run enough kilometers to donate a minimum of $40 to charity. Write an inequality that Nathaniel can use to find the minimum number of kilometers that he must run so that he can donate a minimum of $40 to charity.

• 2.50x + 10 ≥ 40

• 2.50x + 10 ≤ 40

• 10x + 2.50 ≤ 40

• 10x + 2.50 ≤ 40

Tags

7.10.A

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

Lars meets both of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

Eliana purchased some pencils for $0.45 each. She also purchased a ruler for $1.60. Eliana spent more than $1.75 on the ruler and pencils. Which inequality can be used to find p, the number of pencils that Eliana could have purchased?

• 0.45p + 1.6 < 1.75

• 0.45p − 1.6 > 1.75

• 0.45p + 1.6 > 1.75

• 0.45p − 1.6 < 1.75

Tags

7.10.A

A student rode a bicycle fewer than 30 miles during a period of 5 days. The student rode 8 miles on Monday and x miles each day from Tuesday through Friday.

 

Which inequality represents all possible values of x?

• 4m  + 8 < 30

• 4m + 8 > 30

• 4m - 8 > 30

• 4m - 8 < 30

Tags

7.10.A

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1,400

• 700 + 125x ≤1,400

• 700x + 125 ≤1,400

• 125x - 700 ≤ 1,400