One Step Inequalities from Word Problems

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

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

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

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

Pick the correct inequality.

• A

• B

• C

• D

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.

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 money Damien needs?

• x − 36 ≤ 70

• x + 36 ≤ 70

• x − 36 ≥ 70

• x + 36 ≥ 70

Last week, Tanesha ran a total distance of 12.5 miles. Her track coach wants her to run more miles this week than she did last week. She already ran 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

A plate weighs 1/4 pound. A shelf can hold at most 20 pounds. Write and solve an inequality to find how many plates the shelf can hold.

Sheila has a total of $20 to spend at the fall fair. If the armband for rides cost $12.50, what is the most she can spend on treats? Write and solve an inequality.