Inequality word problems

Grade 7 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Pia has $4.50 and earns $1.50 for each errand. Pia wants at least $12 for a game. Let u be the number of errands. What inequality fits?
Milo loads a cart that can carry no more than 50 kg. The cart frame weighs 12 kg, and each box weighs 4 kg. Let f be the number of boxes. What inequality fits?
Zee rides a fair scooter that costs $2 to start and $0.50 per minute. Zee wants to spend less than $8. Let y be the minutes. What inequality fits?
Kira's bucket can hold at most 15 liters. It has 2.5 liters, and each trip adds 2.5 liters. How many trips can Kira make?
At dawn at Ren's campsite it is -12°F. It warms 3°F each hour. After how many hours is it above 6°F?
Noah's team scores 6 points per game and starts with a 3-point bonus. The team wants at least 45 points. How many games must it play?
A van must carry fewer than 32 kg. Bo's bag weighs 5 kg, and each crate weighs 3 kg. What is the greatest whole number of crates Bo can load?
Milo's backpack holds at most 20 kg. The backpack weighs 3 kg, and each book weighs 2 kg. What is the greatest whole number of books that fit?
9.
Kira saves $3 a week and starts with $2. Kira wants more than $17. Which number line shows the possible numbers of weeks, marked every 1?
- an open circle at 5, shaded to the right
- a closed circle at 5, shaded to the right
- an open circle at 5, shaded to the left
- an open circle at 15, shaded to the right
10.
Ren's bucket has 3 liters and fills 1.5 liters each minute. It holds at most 12 liters. Which number line shows the possible minutes, marked every 1?
- a closed circle at 5, shaded to the left
- an open circle at 6, shaded to the left
- a closed circle at 6, shaded to the left
- a closed circle at 6, shaded to the right

Inequality word problems

Answer Key - Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

Pia has $4.50 and earns $1.50 for each errand. Pia wants at least $12 for a game. Let u be the number of errands. What inequality fits?
1.5u + 4.5 ≥ 12
Milo loads a cart that can carry no more than 50 kg. The cart frame weighs 12 kg, and each box weighs 4 kg. Let f be the number of boxes. What inequality fits?
4f + 12 ≤ 50
Zee rides a fair scooter that costs $2 to start and $0.50 per minute. Zee wants to spend less than $8. Let y be the minutes. What inequality fits?
0.5y + 2 < 8
Kira's bucket can hold at most 15 liters. It has 2.5 liters, and each trip adds 2.5 liters. How many trips can Kira make?
y ≤ 5
At dawn at Ren's campsite it is -12°F. It warms 3°F each hour. After how many hours is it above 6°F?
h > 6
Noah's team scores 6 points per game and starts with a 3-point bonus. The team wants at least 45 points. How many games must it play?
g ≥ 7
A van must carry fewer than 32 kg. Bo's bag weighs 5 kg, and each crate weighs 3 kg. What is the greatest whole number of crates Bo can load?
8
Milo's backpack holds at most 20 kg. The backpack weighs 3 kg, and each book weighs 2 kg. What is the greatest whole number of books that fit?
8
9.
Kira saves $3 a week and starts with $2. Kira wants more than $17. Which number line shows the possible numbers of weeks, marked every 1?
- an open circle at 5, shaded to the right
- a closed circle at 5, shaded to the right
- an open circle at 5, shaded to the left
- an open circle at 15, shaded to the right
10.
Ren's bucket has 3 liters and fills 1.5 liters each minute. It holds at most 12 liters. Which number line shows the possible minutes, marked every 1?
- a closed circle at 5, shaded to the left
- an open circle at 6, shaded to the left
- a closed circle at 6, shaded to the left
- a closed circle at 6, shaded to the right