One Step Inequalities & Word Problems

Tucker lost fewer than 9 points. Which inequality represents the situation?

• p > 9

• p < 9

• p ≥ 9

• p ≤ 9

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play? 

• k ≤ 62

• k > 62

• k < 62

• k ≥ 62

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

• 30 + s ≥ 45

• 30 - s ≥ 45

• 30 + s ≤ 45

• 30 - s ≤ 45

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year?

• 3y > 63

• 3y < 63

• 3y ≤ 63

• 3y ≥ 63

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 > 42

• 8x + 6 < 42

• 6x + 8 > 42

• 8x + 6 < 42

Write an inequality:
Twenty-two more than four times a number is less than 82.

• 22 + 4n ≤ 82

• 22 + 4n > 82

• 82 + 22n ≥ 4

• 22 + 4n < 82

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

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