Writing Inequalities

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

• x ÷ 5.50 ≥ 5225

• 5.50x ≥ 5225

• x + 5.50 ≤ 5225

• x − 5.50 ≤ 5225

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

• d − 15 > 40

• d − 15 < 40

• d + 15 ≥ 40

• d + 15 ≤ 40

Amira wrote the inequality p + 5 ≤ 18. Which situation is best represented by this inequality?

• Amira spent 18 minutes making p phone calls. Each call was at least 5 minutes long.

• Amira removed 18 marbles from a bag of p marbles. Afterwards, there were at least 5 marbles in the bag.

• Amira placed p pieces of paper in 18 stacks. Each sack had a most 5 pieces of paper.

• After Amira added 5 books to a stack of p books, there were no more than 18 books in the stack.

To raise funds, members of the math club are selling rulers for $3 each. Their goal is to collect at least $270. Which inequality can be used to find x, the number of rulers the math club members can sell to reach their goal?

• x + 3 ≥ 270

• 3x ≥ 270

• 3x ≤ 270

• x + 3 ≤ 270

Last week, Tanesha ran a total distance of 12.5 miles. He track coach has asked her to run farther this week. She has run 9.3 miles so far this week. Let x represent the number of miles Tanesha runs for the rest of this week. Which inequality can be used to find the distances she can run to meet her coach's request?

• 9.3x > 12.5

• x + 9.3 ≥ 12.5

• x + 9.3 > 12.5

• x + 9.3 < 12.5

Damien needs at least $70 for a trip to Six Flags. If he already has $36, which inequality can be used to determine how much more money Damien needs?

• x − 36 ≤ 70

• x + 36 ≤ 70

• x − 36 ≥ 70

• x + 36 ≥ 70

Bill earns $9.00 per hour. He would like to earn at least $180 each week. Which inequality can be used to find how many hours Bill will have to work to meet his goal?

• 9x ≥ 180

• x + 9 ≥ 180

• 9x ≤ 180

• x + 9 < 180

A caterer charges a service fee and a food fee, with the total being less than $1,000. The service fee is $175. Which inequality can be used to determine the food fee?

• x + 175 ≤ 1000

• x − 175 < 1000

• x + 175 < 1000

• x − 175 ≤ 1000

Your local bank offers free checking for accounts with a balance of greater than $500. Suppose you have a balance of $357.18, which inequality can be used to determine how much you need to deposit to avoid being charged a service fee?

• x − 357.18 > 500

• x − 357.18 ≥ 500

• x + 357.18 ≥ 500

• x + 357.18 > 500